2013, 10(5&6): i-xxiv. doi: 10.3934/mbe.2013.10.5i

From the guest editors

1. 

Mathematical, Computational & Modeling Sciences Center, School of Human Evolution and Social Change, Arizona State University, Box 872402, Tempe, AZ 85287

2. 

Department of Mathematics, Purdue University, West Lafayette, IN 47907

3. 

Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043

Published  August 2013

Carlos Castilo-Chavez is a Regents Professor, a Joaquin Bustoz Jr. Professor of Mathematical Biology, and a Distinguished Sustainability Scientist at Arizona State University. His research program is at the interface of the mathematical and natural and social sciences with emphasis on (i) the role of dynamic social landscapes on disease dispersal; (ii) the role of environmental and social structures on the dynamics of addiction and disease evolution, and (iii) Dynamics of complex systems at the interphase of ecology, epidemiology and the social sciences. Castillo-Chavez has co-authored over two hundred publications (see goggle scholar citations) that include journal articles and edited research volumes. Specifically, he co-authored a textbook in Mathematical Biology in 2001 (second edition in 2012); a volume (with Harvey Thomas Banks) on the use of mathematical models in homeland security published in SIAM's Frontiers in Applied Mathematics Series (2003); and co-edited volumes in the Series Contemporary Mathematics entitled ``Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges'' (American Mathematical Society, 2006) and Mathematical and Statistical Estimation Approaches in Epidemiology (Springer-Verlag, 2009) highlighting his interests in the applications of mathematics in emerging and re-emerging diseases. Castillo-Chavez is a member of the Santa Fe Institute's external faculty, adjunct professor at Cornell University, and contributor, as a member of the Steering Committee of the ``Committee for the Review of the Evaluation Data on the Effectiveness of NSF-Supported and Commercially Generated Mathematics Curriculum Materials,'' to a 2004 NRC report. The CBMS workshop ``Mathematical Epidemiology with Applications'' lectures delivered by C. Castillo-Chavez and F. Brauer in 2011 have been published by SIAM in 2013.

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Citation: Gerardo Chowell, Zhilan Feng, Baojun Song. From the guest editors. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : i-xxiv. doi: 10.3934/mbe.2013.10.5i
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Fred Brauer, Zhilan Feng and Carlos Castillo-Chavez, Discrete epidemic models,, Mathematical Biosciences and Engineering (MBE), 7 (2010), 1. Google Scholar

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Karen Chow, Xiaohong Wang, R. Curtiss III and Carlos Castillo-Chavez, Evaluating the efficacy of antimicrobial cycling programmes and patient isolation on dual resistance in hospitals,, Journal of Biological Dynamics, 5 (2010), 27. Google Scholar

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Anuj Mubayi, Priscilla E. Greenwood, Carlos Castillo-Chávez, Paul J. Gruenewald and Dennis M. Gorman, The impact of relative residence times on the distribution of heavy drinkers in highly distinct environments,, Socio-Economic Planning Sciences, 44 (2010), 45. Google Scholar

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Hiroshi Nishiura, Gerardo Chowell, Muntaser Safan and Carlos Castillo-Chavez, Pros and cons of estimating the reproduction number from early epidemic growth rate of influenza A (H1N1) 2009,, Theoretical Biology and Medical Modelling, 7 (2010). Google Scholar

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Angela Ortiz, H. Thomas Banks, Carlos Castillo-Chavez, Gerardo Chowell and Xiaohong Wang, A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals,, Journal of Inverse and Ill-Posed Problems, 18 (2010), 787. Google Scholar

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Karyn L. Sutton, H. T. Banks and Carlos Castillo-Chavez, Using inverse problem methods with surveillance data in pneumococcal vaccination,, Mathematical and Computer Modelling, 51 (2010), 369. Google Scholar

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[133]

S. Del Valle, H. Hethcote, J. M. Hyman and C. Castillo-Chavez, Effects of behavioral changes in a smallpox attack model,, Mathematical Biosciences, 195 (2005), 228. Google Scholar

[134]

Carlos Castillo-Chavez and Baojun Song, Dynamical models of tuberculosis and their applications,, Mathematical Biosciences and Engineering (MBE), 1 (2004), 361. Google Scholar

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G. Chowell, N. W. Hengartner, C. Castillo-Chavez, P. W. Fenimore and J. M. Hyman, The basic reproductive number of Ebola and the effects of public health measures: The cases of Congo and Uganda,, Journal of Theoretical Biology, 229 (2004), 119. Google Scholar

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Gerardo Chowell, Carlos Castillo-Chavez, Paul W. Fenimore, Christopher M. Kribs-Zaleta, Leon Arriola and James M. Hyman, Model parameters and outbreak control for SARS,, Emerging Infectious Diseases, 10 (2004), 1258. Google Scholar

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D. M. Gorman, P. J. Gruenewald, P. J. Hanlon, Igor Mezic, Lance A. Waller, Carlos Castillo-Chavez, Elizabeth Bradley and Jadranka Mezic, Implications of systems dynamic models and control theory for environmental approaches to the prevention of alcohol- and other drug use-related problems,, Substance Abuse & Misuse, 39 (2004), 1713. Google Scholar

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H. T. Banks and Carlos Castillo-Chavez, eds., "Bioterrorism: Mathematical Modeling Applications in Homel and Security,", Frontiers in Applied Mathematics, (2003). Google Scholar

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J. Best, C. Castillo-Chavez, and A. A. Yakubu, Hierarchical competition in discrete time models with dispersal,, in, (2003). Google Scholar

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Carlos Castillo-Chavez, Carlos W. Castillo-Garsow and Abdul-Aziz Yakubu, Mathematical models of isolation and quarantine,, JAMA: The Journal of the American Medical Association, 290 (2003), 2876. Google Scholar

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Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis,, in, 1 (2004), 361. Google Scholar

[142]

Carlos Castillo-Chavez and Baojun Song, Models for the transmission dynamics of fanatic behaviors,, in, (2003), 155. Google Scholar

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Carlos Castillo-Chavez, Baojun Song and Juan Zhang, An epidemic model with virtual mass transportation: The case of smallpox in a large city,, in, (2003), 173. Google Scholar

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G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism,, Journal of Theoretical Biology, 224 (2003), 1. Google Scholar

[145]

G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, Scaling laws for the movement of people between locations in a large city,, Physical Review E, 68 (2003). Google Scholar

[146]

Gerardo Chowell and Carlos Castillo-Chavez, Worst-case scenarios and epidemics,, in, (2003), 35. Google Scholar

[147]

Jia Li, Zhien Ma, Steve P. Blythe and Carlos Castillo-Chavez, Coexistence of pathogens in sexually-transmitted disease models,, Journal of Mathematical Biology, 47 (2003), 547. Google Scholar

[148]

Maia Martcheva and Carlos Castillo-Chavez, Diseases with chronic stage in a population with varying size, , Mathematical Biosciences, 182 (2003), 1. Google Scholar

[149]

A. L. Rivas, S. D. Smith, P. J. Sullivan, B. Gardner, J. P. Aparicio, A. L. Hoogesteijn and C. Castillo-Chavez, Identification of geographic factors associated with early spread of foot-and-mouth disease,, American Journal of Veterinary Research, 64 (2003), 1519. Google Scholar

[150]

A. L. Rivas, S. E. Tennenbaum, J. P. Aparicio, A. L. Hoogesteijn, H. O. Mohammed, C. Castillo-Chávez and S. J. Schwager, Critical response time (time available to implement effective measures for epidemic control): Model building and evaluation,, Canadian Journal of Veterinary Research, 67 (2003), 307. Google Scholar

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J. P. Aparicio, A. Capurro and C. Castillo-Chavez, Frequency dependent risk of infection and the spread of infectious diseases,, in, (2002), 341. Google Scholar

[152]

J. P. Aparicio, A. Capurro and C. Castillo-Chavez, On the long-term dynamics and re-emergence of tuberculosis,, in, (2002), 351. Google Scholar

[153]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Markers of disease evolution: The case of tuberculosis,, Journal of Theoretical Biology, 215 (2002), 227. Google Scholar

[154]

C. Castillo-Chavez, Z. Feng and W. Huang, On the computation $\mathcalR_{0}$ and its role on global stability,, in, (2002), 229. Google Scholar

[155]

C. Castillo-Chavez, A.-A. Yakubu, H. Thieme and M. Martcheva, Nonlinear mating models for populations with discrete generations,, in, (2002), 251. Google Scholar

[156]

Carlos Castillo-Chavez and Wenzhang Huang, Age-structured core group model and its impact on STD dynamics,, in, (2002), 261. Google Scholar

[157]

Carlos Castillo-Chavez and Fred S. Roberts, Report on DIMACS working group meeting: Mathematical sciences methods for the study of deliberate releases of biological agents and their consequences,, DIMACS TR: 2002-39, (2002), 2002. Google Scholar

[158]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with simple and complex dynamics,, in, (2002), 153. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Intra-specific competition and dispersal and disease dynamics in discrete-time patchy environments,, in, (2002), 165. Google Scholar

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K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model,, in, (2002), 129. Google Scholar

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Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of tuberculosis models with density dependent demography,, in, (2002), 275. Google Scholar

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Baojun Song, Carlos Castillo-Chavez and Juan Pablo Aparicio, Tuberculosis models with fast and slow dynamics: The role of close and casual contacts,, Mathematical Biosciences, 180 (2002), 187. Google Scholar

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Abdul-Aziz Yakubu and Carlos Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models,, Journal of Theoretical Biology, 218 (2002), 273. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Epidemics on attractors,, in, (2001), 23. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Dispersal, disease and life-history evolution,, Mathematical Biosciences, 173 (2001), 35. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with complex dynamics,, Nonlinear Analysis: Theory, 47 (2001), 4753. Google Scholar

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Zhilan Feng, Wenzhang Huang and Carlos Castillo-Chavez, On the role of variable latent periods in mathematical models for tuberculosis,, Journal of Dynamics and Differential Equations, 13 (2001), 425. Google Scholar

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Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Transmission and dynamics of tuberculosis on generalized households,, Journal of Theoretical Biology, 206 (2000), 327. Google Scholar

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Zhilan Feng, Carlos Castillo-Chavez and Angel F. Capurro, A model for tuberculosis with exogenous reinfection,, Theoretical Population Biology, 57 (2000), 235. Google Scholar

[170]

Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, Urn models and vaccine efficacy estimation,, Statistics in Medicine, 19 (2000), 827. Google Scholar

[171]

S.-F. Hsu Schmitz and C. Castillo-Chavez, A note on pair-formation functions,, Mathematical and Computer Modelling (Proceedings of the Conference on Dynamical Systems in Biology and Medicine), 31 (2000), 83. Google Scholar

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C. Castillo-Chavez, Under-representation perspectives from academia. Meeting america's needs for the scientific and technological challenges of the 21st century,, Executive Office of the President of Science and Technology Policy, (1999), 27. Google Scholar

[173]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, Competitive exclusion and coexistence of multiple strains in an SIS STD model,, SIAM Journal on Applied Mathematics, 59 (1999), 1790. Google Scholar

[174]

Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, A basic result on the integral for birth-death Markov processes,, Mathematical Biosciences, 161 (1999), 95. Google Scholar

[175]

Jaime Mena-Lorca, Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Density-dependent dynamics and super-infection in an epidemic model,, Mathematical Medicine and Biology, 16 (1999), 307. Google Scholar

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A. F. Capurro, M. Zellner and C. Castillo-Chávez, The effect of bus transportation on the tuberculosis disease dynamic at population level,, Documento de trabajo, (1998). Google Scholar

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C. Castillo Chávez, A. F. Capurro, J. Velasco Hernández and M. L. Zellner, El transporte público y la dinámica de la tuberculosis a nivel poblacional,, Aportaciones Matemáticas, (1998), 209. Google Scholar

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C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Multiple group models with heterogeneous mixing for the transmission dynamics of HIV/AIDS,, in, (1990), 4. Google Scholar

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Carlos Castillo-Chavez and Zhilan Feng, Global stability of an age-structure model for TB and its applications to optimal vaccination strategies,, Mathematical Biosciences, 151 (1998), 135. Google Scholar

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Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between evolution of virulence and host demography,, Journal of Theoretical Biology, 192 (1998), 437. Google Scholar

[181]

Jonathan Dushoff, Wenzhang Huang and Carlos Castillo-Chavez, Backwards bifurcations and catastrophe in simple models of fatal diseases,, Journal of Mathematical Biology, 36 (1998), 227. Google Scholar

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C. Castillo-Chavez and Z. Feng, Mathematical models for the disease dynamics of tuberculosis,, in, (1997), 23. Google Scholar

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F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease model,, in, (1997), 1438. Google Scholar

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F Brauer, C. Castillo-Chavez and J. X. Velasco-Hernande, Recruitment into core group and its effect on the spread of a sexually transmitted disease,, in, (1997), 23. Google Scholar

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A. Capurro, F. Brauer, C. Castillo-Chavez and M. Zellner, Conceptos básicos en la epidemiología teórica,, in, (1997), 35. Google Scholar

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A. Capurro, C. Castillo-Chavez, Z. Feng and M. Zellner, Modelos para la dinámica de transmisión de la tuberculosis,, in, (1997), 13. Google Scholar

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C. Castillo-Chavez, W. Huang and J. Li, The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases,, Journal of Mathematical Biology, 35 (1997), 503. Google Scholar

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Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis,, Journal of Mathematical Biology, 35 (1997), 629. Google Scholar

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Carlos Castillo-Chavez and Shu-FangHsu Schmitz, The evolution of age-structured marriage functions: It takes two to tango,, in, (1997), 533. Google Scholar

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F. Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models,, in, (1996), 35. Google Scholar

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C. Castillo-Chavez, Competitive exclusion in gonorrhea models and other sexually transmitted diseases,, SIAM Journal on Applied Mathematics, 56 (1996), 494. Google Scholar

[192]

C. Castillo-Chavez, W. Huang and J. Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models,, in, (1996), 1. Google Scholar

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Carlos Castillo-Chavez, Samuel Fridman and Xiaolong Luo, Stochastic and deterministic models in epidemiology,, in, (1996), 19. Google Scholar

[194]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions,, Journal of Mathematical Biology, 34 (1996), 413. Google Scholar

[195]

S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits,, in, (1996), 19. Google Scholar

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Velasco-Hernández, Jorge X., Fred Brauer and Carlos Castillo-Chavez, Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease,, Mathematical Medicine and Biology, 13 (1996), 175. Google Scholar

[197]

Jorge X Velasco-Hernandez and Carlos Castillo-Chavez, Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach,, in, (1996), 19. Google Scholar

[198]

Stephen Blythe, Stavros Busenberg and Carlos Castillo-Chavez, Affinity in paired event probability,, Mathematical Biosciences, 128 (1995), 265. Google Scholar

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Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology,, in, (1995), 410. Google Scholar

[200]

C. Castillo-Chavez, Dedication: Advances in mathematical modeling of biological processes,, in, (1995). Google Scholar

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C. Castillo-Chavez, Personal recollections: The society for mathematical biology remembers Betty Tang (7/17/54-9/13/95),, Mathematical Biology Newsletter, 9 (1995). Google Scholar

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C. Castillo-Chavez and H. Thieme, Asymptotically autonomous epidemic models,, in, (1995), 1. Google Scholar

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Carlos Castillo-Chavez, Kenneth L. Cooke and Horst R. Thieme, Remembering Stavros Busenberg,, Mathematical Biosciences, 128 (1995), 3. Google Scholar

[204]

Carlos Castillo-Chavez and Wenzhang Huang, The logistic equation revisited: The two-sex case,, Mathematical Biosciences, 128 (1995), 299. Google Scholar

[205]

K. P. Hadeler and C. Castillo-Chavez, A core group model for disease transmission,, Mathematical Biosciences, 128 (1995), 41. Google Scholar

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Carlos Castillo-Chavez and Shu-Fang Hsu Schmitz, Parameter estimation in non-closed social networks related to the dynamics of sexually-transmitted diseases,, in, (1994), 533. Google Scholar

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Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology,, in, (1994), 454. Google Scholar

[208]

X. Luo and C. Castillo-Chavez, Limit behavior of pair-formation for a large dissolution rate,, Journal of Mathematical Systems, 3 (1993), 247. Google Scholar

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Horst R. Thieme and Carlos Castillo-Chavez, How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS?,, SIAM Journal on Applied Mathematics, 53 (1993), 1447. Google Scholar

[210]

Carlos Castillo-Chavez, Shwu-Fang Shyu, Gail Rubin and David Umbach, On the estimation problem of mixing/pair formation matrices with applications to models for sexually-transmitted diseases,, in, (1992), 384. Google Scholar

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Wenzhang Huang, Kenneth L. Cooke and Carlos Castillo-Chavez, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission,, SIAM Journal on Applied Mathematics, 52 (1992), 835. Google Scholar

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S. Lubkin, S. F. H. Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits,, in, (1992), 745. Google Scholar

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Gail Rubin, David Umbach, Shwu-Fang Shyu and Carlos Castillo-Chavez, Using mark-recapture methodology to estimate the size of a population at risk for sexually transmitted diseases,, Statistics in Medicine, 11 (1992), 1533. Google Scholar

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Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks,, in, (1992), 19. Google Scholar

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S. P. Blythe, C. Castillo-Chavez, J. S. Palmer and M. Cheng, Toward a unified theory of sexual mixing and pair formation,, Mathematical Biosciences, 107 (1991), 379. Google Scholar

[216]

Stavros Busenberg and Carlos Castillo-Chavez, A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS,, Mathematical Medicine and Biology, 8 (1991), 1. Google Scholar

[217]

C. Castillo-Chavez and S. Busenberg, On the solution of the two-sex mixing problem,, in, (1991), 80. Google Scholar

[218]

Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations,, in, (1991), 47. Google Scholar

[219]

Kenneth L. Cooke, Donald A. Allers and Carlos Castillo-Chavez, Mixing patterns in models of AIDS,, in, (1991), 297. Google Scholar

[220]

Stephen P. Blythe and Carlos Castillo-Chavez, Scaling of sexual activity,, Nature, 344 (1990), 202. Google Scholar

[221]

Lisa Sattenspiel and Carlos Castillo-Chavez, Environmental context, social interactions, and the spread of HIV,, American Journal of Human Biology, 2 (1990), 397. Google Scholar

[222]

Fred Adler, Lincoln Smith and Carlos Castillo-Chavez, A distributed-delay model for the local population dynamics of a parasitoid-host system,, in, (1989), 152. Google Scholar

[223]

S. Blythe and C Castillo-Chavez, Sexual mixing models with like-with-like preference,, in, (1989), 4. Google Scholar

[224]

Stephen P. Blythe and Carlos Castillo-Chavez, Like-with-like preference and sexual mixing models,, Mathematical Biosciences, 96 (1989), 221. Google Scholar

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Stavros Busenberg and Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases,, in, (1989), 289. Google Scholar

[226]

C. Castillo-Chavez, Effects of social mixing in the spread of HIV/AIDS, mathematical models of infectious diseases,, Mathematisches Forschungsinstitut Oberwolfach, 5.2-11.2 (1989), 2. Google Scholar

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C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS): Part 1: Single populations models,, Journal of Mathematical Biology, 27 (1989), 373. Google Scholar

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C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus,, Applied Mathematics Letters, 2 (1989), 327. Google Scholar

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C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modeling of epidemics,, in, (1989), 22. Google Scholar

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C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. M. Liu, Epidemiological models with age structure, proportionate mixing, and cross-immunity,, Journal of Mathematical Biology, 27 (1989), 233. Google Scholar

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Carlos Castillo-Chavez, Review of recent models of HIV/AIDS transmission,, in, (1989), 253. Google Scholar

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Carlos Castillo-Chavez, Some applications of structured models in population dynamics,, in, (1989), 450. Google Scholar

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Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior,, in, (1989), 275. Google Scholar

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Carlos Castillo-Chavez, Kenneth L. Cooke, Wenzhang Huang and Simon A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS),, in, (1989), 177. Google Scholar

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Carlos Castillo-Chavez, Kenneth L. Cooke, Wenzhang Huang and Simon A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 2: Multiple group models,, in, (1989), 200. Google Scholar

[236]

Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker, in, "Mathematical Approaches to Problems in Resource Management and Epidemiology", (1989). Google Scholar

[237]

Simon A. Levin, Kirk Moloney, Linda Buttel and Carlos Castillo-Chavez, Dynamical models of ecosystems and epidemics,, Future Generation Computer Systems, 5 (1989), 265. Google Scholar

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Steven J. Schwager, Carlos Castillo-Chavez and Herbert Hethcote, Statistical and mathematical approaches in HIV/AIDS modeling: A review,, in, (1989), 2. Google Scholar

[239]

Horst R. Thieme and Carlos Castillo-Chavez, On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic,, in, (1989), 157. Google Scholar

[240]

C. Castillo-Chavez, Mathematical models for the spread of HIV/AIDS(Mtg. Review),, Mathematical Biology Society Newsletter, 3 (1988), 4. Google Scholar

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C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. M. Liu, Cross-immunity in the dynamics of homogeneous and heterogeneous populations,, in, (1988), 303. Google Scholar

[242]

C. Castillo-Chavez, S. A. Levin and F. Gould, Physiological and behavioral adaptation to varying environments: A mathematical model,, Evolution, 42 (1988), 986. Google Scholar

[243]

S. A. Levin and C. Castillo-Chavez, Topics in evolutionary biology,, in, (1988), 3. Google Scholar

[244]

C. Castillo-Chavez, Linear character-dependent models with constant time delay in population dynamics,, Mathematical Modelling, 9 (1987), 821. Google Scholar

[245]

C. Castillo-Chavez, D. Grünbaum and S. A. Levin, Designing computer models of the spread of HIV (Human Immunodeficiency Virus),, (Newsletter, 3 (1987), 3. Google Scholar

[246]

Carlos Castillo-Chavez, Nonlinear character dependent models with constant time delay in population dynamics,, Journal of Mathematical Analysis and Applications, 128 (1987), 1. Google Scholar

[247]

C. Castillo-Chavez, An abstract theorem in linear and nonlinear deterministic character-dependent models with time delay in population dynamics,, in, (1986), 18. Google Scholar

[248]

C. Castillo-Chavez and D. S. Levine, Mini-symposium in population dynamics,, in, (1986), 18. Google Scholar

[249]

C. Castillo-Chavez, Some old and new discrete and continuous models in population dynamics,, in, (1985), 81. Google Scholar

[250]

C. Castillo-Chavez, Modelos deterministas del tipo MacKendrick-Von Foerster en la teoría dinámica de poblaciones,, Ciencia, 36 (1985), 105. Google Scholar

[251]

Carlos Castillo-Chavez, "Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics," Ph.D. thesis,, The University of Wisconsin, (1984). Google Scholar

[252]

Sunhwa Choi, Eunok Jung and Carlos Castillo-Chávez, Optimal treatment strategies for tuberculosis with exogenous reinfection,, Technical Report MTBI-07-04M, (2010), 07. Google Scholar

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Paula A. González-Parra, Sunmi Lee, Leticia Velazquez and Carlos Castillo-Chávez, A note on the use of optimal control on a discrete time model of influenza dynamics,, Technical Report MTBI-07-07M, (2010), 07. Google Scholar

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Ana Luz Vivas, Carlos Castillo-Chávez and Ernest Barany, A note on the dynamics of an SAIQR influenza model,, Technical Report MTBI-07-09M, (2010), 07. Google Scholar

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Karen C. Chow, Xiaohong Wang and Carlos Castillo-Chavez, A mathematical model of nosocomial infection and antibiotic resistance: Evaluating the efficacy of antimicrobial cycling programs and patient isolation on dual resistance,, Technical Report MTBI-04-05M, (2007), 04. Google Scholar

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Lily Davidoff, Karyn Sutton, Genevieve-Yvonne Toutain, Fabio Sánchez, Christopher Kribs-Zaleta and Carlos Castillo-Chavez, Mathematical modeling of the sex worker industry as a supply and demand system,, Technical Report MTBI-03-06M, (2006), 03. Google Scholar

[257]

Edgar Diaz, Alicia Urdapilleta, Gerardo Chowell and Carlos Castillo-Chávez, Ring vaccination as a control strategy for foot-and-mouth disease,, Technical Report MTBI-02-09M, (2005), 02. Google Scholar

[258]

Titus G. Kassem, Svetlana Roudenko, Stephen Tennenbaum and Carlos Castillo-Chávez, The role of transactional sex in the spread of HIV/AIDS: A modeling perspective,, Technical Report MTBI-02-13M, (2005), 02. Google Scholar

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Karyn Sutton, Priscilla Greenwood, Christopher Kribs-Zaleta, Leon Arriola and Carlos Castillo-Chávez, Differential behavior of vectors infected with Chagas' disease,, Technical Report MTBI-02-12M, (2005), 02. Google Scholar

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Haiyun Zhao, Zhilan Feng and Carlos Castillo-Chávez, The dynamics of poverty and crime,, Technical Report MTBI-02-08M, (2005), 02. Google Scholar

[261]

M. Nuno, Z. Feng, M. Martcheva and C. Castillo-Chavez, Dynamics of two-strain influenza with isolation and partial cross-immunity,, Technical Report BU-1606-M, (2005). Google Scholar

[262]

G. Chowell and C. Castillo-Chavez, Worst-case scenarios and epidemics,, Technical Report BU-1629-M, (2003). Google Scholar

[263]

G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism,, Technical Report BU-1628-M, (2003). Google Scholar

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G. Chowell, J. M. Hyman, S. Eubank and C. Castillo-Chavez, Scaling laws for the movement of people between locations in a large city,, Technical Report BU-1630-M, (2003). Google Scholar

[265]

A. L. Rivas, S. E. Tennenbaum, J. P. Aparicio, A. L. Hoogesteijn, H. O. Mohammed, C. Castillo-Chavez and S. J. Schwager, Critical response time (time available to implement effective measures for epidemic control): Model building and evaluation,, Technical Report BU-1631-M, (2003). Google Scholar

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Ariel L. Rivas, Stephen Smith, Patrick J. Sullivan, Beth Gardner, Juan P. Aparicio, Almira L. Hoogesteijn and Carlos Castillo-Chavez, Identification of geographical factors associated with early spread of foot-and-mouth disease in the 2001 Uruguayan Epidemic,, Technical Report BU-1632-M, (2003). Google Scholar

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Ariel L. Rivas, Steve E. Tennenbaum, Juan P. Aparicio, Almira L. Hoogesteyn, Carlos O. Olave, Robert W. Blake and Carlos Castillo-Chavez, Assessment of time available to implement measures for control of epidemics (critical response time) in the context of the 2001 Uruguayan foot-and-mouth disease outbreak,, Technical Report BU-1601-M, (2003). Google Scholar

[268]

Carlos Castillo-Chavez, Zhilan Feng and Wenzhang Huang, On the computation of $\mathcalR_{0}$ and its role on global stability,, Technical Report BU-1553-M, (2002). Google Scholar

[269]

Carlos Castillo-Chavez and Fred S. Roberts, Report on DIMACS working group meeting: Mathematical sciences methods for the study of deliberate releases of biological agents and their consequences,, Technical Report BU-1600-M, (2002). Google Scholar

[270]

Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis,, Technical Report BU-1607-M, (2002). Google Scholar

[271]

Johnsie Oritz, Manuel A. Rivera, Daniel Rubin, Israel Ruiz, Carlos M. Hernandez and Carlos Castillo-Chavez, Critical response models for foot-and-mouth disease epidemics,, Technical Report BU-1620-M, (2002). Google Scholar

[272]

Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of TB models with density dependent demography,, Technical Report BU-1552-M, (2002). Google Scholar

[273]

S. P. Blythe, K. Cooke and C. Castillo-Chavez, Autonomous risk-behavior change, and non-linear incidence rate, in models of sexually transmitted diseases,, Technical Report BU-1048-M, (2001). Google Scholar

[274]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Frequency dependent risk of infection and the spread of infectious diseases,, Technical Report BU-1503-M, (2001). Google Scholar

[275]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Dispersal, disease and life history evolution,, Technical Report BU-1538-M, (2001). Google Scholar

[276]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Discrete time S-I-S models with simple and complex population dynamics,, Technical Report BU-1539-M, (2001). Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Intra-specific competition, dispersal and disease dynamics in discrete-time patchy environments,, Technical Report BU-1478-M, (2001). Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete time S-I-S models with complex dynamics,, Technical Report BU-1479-M, (2001). Google Scholar

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Nicolas M. Crisosto, Carlos Castillo-Chavez, Christopher Kribs-Zaleta and Stephen Wirkus, Who says we $\mathcalR_{0}$ ready for change?,, Technical Report BU-1586-M, (2001). Google Scholar

[280]

Baojun Song and Carlos Castillo-Chavez, Tuberculosis control in the US: A strategy to meet CDC's goal,, Technical Report BU-1561-M, (2001). Google Scholar

[281]

Corvina Dawn-Hayoolkaat Boyd, Alison M. Castro, Nicolas M. Crisosto, Arlene Morales Evangelista, Carlos Castillo-Chavez and Christopher Kribs-Zeleta, A socially transmitted disease: Teacher qualifications and dropout rates,, Technical Report BU-1526-M, (2000). Google Scholar

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Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Markers of disease evolution: The case of tuberculosis,, Technical Report BU-1534-M, (2000). Google Scholar

[283]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, On the fall and rise of tuberculosis,, Technical Report BU-1477-M, (2000). Google Scholar

[284]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Epidemic models on attractors,, Technical Report BU-1540-M, (2000). Google Scholar

[285]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Geometric versus bounded growth on discrete-time S-I-S models with variable population size,, Technical Report BU-1480-M, (2000). Google Scholar

[286]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Nonlinear mating models for populations with non-overlapping generations,, Technical Report BU-1497-M, (2000). Google Scholar

[287]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time nonlinear pair formation models with geometric solutions ,, Technical Report BU-1496-M, (2000). Google Scholar

[288]

Paula A. Gonzalez, Roberto A. Saenz, Brisa N. Sanchez, Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Dispersal between two patches in a discrete time SEIS model,, Technical Report BU-1531-M, (2000). Google Scholar

[289]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, A note on pair-formation functions,, Technical Report BU-1405-M, (2000). Google Scholar

[290]

K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model,, Technical Report BU-1245-M, (1999). Google Scholar

[291]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Quasi-stationary distributions and behavior of birth-death markov process with absorbing states,, Technical Report BU-1332-M, (1999). Google Scholar

[292]

Wenzhang Huang and Carlos Castillo-Chavez, Age-structured core group model and its impact on STD dynamics,, Technical Report BU-1554-M, (1999). Google Scholar

[293]

Carlos Castillo-Chavez, Studies in theoretical biology: A collection of undergraduate research,, Technical Report BU-1419-M, (1998). Google Scholar

[294]

Carlos Castillo-Chavez and Zhilan Feng, Mathematical models for the disease dynamics of tuberculosis,, Technical Report BU-1321-M, (1998). Google Scholar

[295]

Carlos Castillo-Chavez and Carlos Castillo-Garsow, President's initiative on race: Briefing paper,, Technical Report BU-1404-M, (1997). Google Scholar

[296]

Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis,, Technical Report BU-1288-M, (1997). Google Scholar

[297]

Carlos Castillo-Chavez, Zhilan Feng and Angel F. Capurro, A distributed delay model for tuberculosis,, Technical Report BU-1389-M, (1997). Google Scholar

[298]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, The effects of female's susceptibility on coexistence of multiple pathogen strains of sexually transmitted diseases,, Technical Report BU-1307-M, (1997). Google Scholar

[299]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Estimating vaccine efficacy in stochastic SIR epidemic models with non homogeneous mixing,, Technical Report BU-1396-M, (1997). Google Scholar

[300]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Approximations to the quasistationary distributions of the sis and seis epidemic models for general distribution of the duration of the infectious state,, Technical Report BU-1397-M, (1997). Google Scholar

[301]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, On the evolution of age-structured marriage functions: It takes two to tango,, Technical Report BU-1310-M, (1997). Google Scholar

[302]

Fred Brauer, Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, Recruitment into a core group and its effect on the spread of a sexually-transmitted disease,, Technical Report BU-1320-M, (1996). Google Scholar

[303]

Angel F. Capurro, Carlos Castillo-Chavez and Zhilan Feng, El uso de modelos mathematicos para analizar la epidemiologia de la tuberculosis,, Technical Report BU-1390-M, (1996). Google Scholar

[304]

Carlos Castillo-Chavez, Studies in theoretical biology: A collectionof undergraduate research,, Technical Report BU-1370-M, (1996). Google Scholar

[305]

Carlos Castillo-Chavez and Zhilan Feng, Optimal vaccination strategies for tb in age-structure populations,, Technical Report BU-1323-M, (1996). Google Scholar

[306]

Carlos Castillo-Chavez, Samuel Fridman and Xiaolong Luo, Stochastic and deterministic models in epidemiology,, Technical Report BU-1192-M, (1996). Google Scholar

[307]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions,, Technical Report BU-1242-M, (1996). Google Scholar

[308]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, Competitive exclusion in gonorrhea models and other sexually-transmitted diseases,, Technical Report BU-1217-M, (1996). Google Scholar

[309]

Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between tight coevolution and superinfection,, Technical Report BU-1328-M, (1996). Google Scholar

[310]

Carlos Castillo-Chavez and Wenxiong Xu, A TB model with infection-age-dependent infectivity,, Technical Report BU-1358-M, (1996). Google Scholar

[311]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks,, Technical Report BU-1183-M, (1996). Google Scholar

[312]

S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits,, Technical Report BU-1190-M, (1996). Google Scholar

[313]

Jorge X. Velasco-Hernandez, Fred Brauer and Carlos Castillo-Chavez, Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease,, Technical Report BU-1247-MA, (1996). Google Scholar

[314]

Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach,, Technical Report BU-1189-M, (1996). Google Scholar

[315]

S. P. Blythe, S. Busenberg and C. Castillo-Chavez, Affinity in paired-event probability,, Technical Report BU-1084-M, (1995). Google Scholar

[316]

Carlos Castillo-Chavez, Kenneth Cooke and Horst Thieme, Remembering Stavros Busenberg,, Technical Report BU-1240-M, (1995). Google Scholar

[317]

Carlos Castillo-Chavez and Wenzhang Huang, Logistic equation revisited: The two-sex case,, Technical Report BU-1244-M, (1995). Google Scholar

[318]

Carlos Castillo-Chavez and Jia Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models,, Technical Report BU-1306-M, (1995). Google Scholar

[319]

K. P. Hadeler and Carlos Castillo-Chavez, A core group model for disease transmission,, Technical Report BU-1250-M, (1995). Google Scholar

[320]

Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology,, Technical Report BU-1249-M, (1994). Google Scholar

[321]

Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology,, Technical Report BU-1191-M, (1994). Google Scholar

[322]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Parameter estimation in non-closed social networks related to dynamics of sexually transmitted diseases,, Technical Report BU-1200-M, (1994). Google Scholar

[323]

S. P. Blythe, F. Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Models for sexually transmitted diseases with recruitment,, Technical Report BU-1193-M, (1993). Google Scholar

[324]

Fred Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models,, Technical Report BU-1218-M, (1993). Google Scholar

[325]

Fred Brauer and Carlos Castillo-Chavez, Studies in theoretical epidemiology,, Technical Report BU-1188-M, (1993). Google Scholar

[326]

Angel F. Capurro, Carlos Castillo-Chavez and Samuel Fridman, Models of animals in their home range,, Technical Report BU-1219-M, (1993). Google Scholar

[327]

Carlos Castillo-Chavez, Samuel Fridman and Shu-Fang Hsu Schmitz, Simulation studies on stochastic models with heterogeneously mixing contact structures,, Technical Report BU-1204-M, (1993). Google Scholar

[328]

Carlos Castillo-Chavez and Horst Thieme, Asymptotically autonomous epidemic models,, Technical Report BU-1248-M, (1993). Google Scholar

[329]

Shu-Fang Hsu Schmitz, Stavros Busenberg and Carlos Castillo-Chavez, On the evolution of marriage functions: It takes two to tango,, Technical Report BU-1210-M, (1993). Google Scholar

[330]

Xiaolong Luo and Carlos Castillo-Chavez, Limit behavior of pair formation for a large dissolution rate,, Technical Report BU-1172-M, (1993). Google Scholar

[331]

Horst R. Thieme and Carlos Castillo-Chavez, How may infection-age dependent infectivity affect the dynamics of HIV/AIDS?,, Technical Report BU-1102-MA, (1993). Google Scholar

[332]

Stephen P. Blythe, Carlos Castillo-Chavez and George Casella, Empirical methods for the estimation of the mixing probabilities for socially structured populations from a single survey sample,, Technical Report BU-1072-MB, (1992). Google Scholar

[333]

F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease models,, Technical Report BU-1154-M, (1992). Google Scholar

[334]

Carlos Castillo-Chavez, Shwu-Fang Shyu, Gail Rubin and Dave Umbach, On the estimation problem of mixing/pair formation matrices with applications to models for sexually-transmitted diseases,, Technical Report BU-1144-MA, (1992). Google Scholar

[335]

Wenzhang Huang, Kenneth L. Cooke and Carlos Castillo-Chavez, Stability and bifurcation for a multiple group model for the dynamics of HIV/AIDS transmission,, Technical Report BU-1071-M, (1992). Google Scholar

[336]

S. Lubkin, S.-F. Hsu Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits,, Technical Report BU-1182-M, (1992). Google Scholar

[337]

Gail Rubin, David Umbach, Shwu-Fang Shyu and Carlos Castillo-Chavez, Using mark-recapture methodology to estimate the size of a population at risk for sexually transmitted diseases,, Technical Report BU-1112-MB, (1992). Google Scholar

[338]

S. P. Blythe and Carlos Castillo-Chavez, On the construction of arbitrary m-dimensional joint distributions,, Technical Report BU-1058-M, (1991). Google Scholar

[339]

Stephen P. Blythe and Carlos Castillo-Chavez, Is there a marriage function yet?,, Technical Report BU-1135-M, (1991). Google Scholar

[340]

Stephen P. Blythe, Carlos Castillo-Chavez, Jeffrey S. Palmer and Mingyan Cheng, Towards a unified theory of sexual mixing and pair formation,, Technical Report BU-1106-M, (1991). Google Scholar

[341]

Stavros Busenberg and Carlos Castillo-Chavez, A general solution of the problem of mixing of subpopulations, and its application to risk- and age- structured epidemic models for the spread of AIDS,, Technical Report BU-1063-MB, (1991). Google Scholar

[342]

Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior,, Technical Report BU-1050-M, (1991). Google Scholar

[343]

Carlos Castillo-Chavez and Stephen P. Blythe, A test-bed procedure for evaluating one-sex mixing frameworks,, Technical Report BU-1077-M, (1991). Google Scholar

[344]

Carlos Castillo-Chavez and Stavros Busenberg, On the solution of the two-sex mixing problem,, Technical Report BU-1092-M, (1991). Google Scholar

[345]

Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations,, Technical Report BU-1068-M, (1991). Google Scholar

[346]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Efficiency of self-control strategies on the spread of the insect vector of chagas disease,, Technical Report BU-1377-M, (1991). Google Scholar

[347]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Efficiency of self-control strategies on the spread of the insect vector of chagas disease,, Technical Report BU-1416-M, (1991). Google Scholar

[348]

Xiaolong Luo, Carlos Castillo-Chavez and Mingyan Cheng, A probabilistic model of mixing and pair formation with applications to epidemiology,, Technical Report BU-1146-M, (1991). Google Scholar

[349]

Jeffrey S. Palmer, Steven P. Blythe and Carlos Castillo-Chavez, Two-group mixing processes and disease dynamics in single-sex populations,, Technical Report BU-1111-M, (1991). Google Scholar

[350]

Jeffrey S. Palmer, Carlos Castillo-Chavez and Steven P. Blythe, State-dependent mixing and sexually transmitted disease dynamics,, Technical Report BU-1122-M, (1991). Google Scholar

[351]

Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Food web structure and frequency dependent predation,, Technical Report BU-1142-MA, (1991). Google Scholar

[352]

Stephen P. Blythe and Carlos Castillo-Chavez, Scaling laws in human sexual activity,, Technical Report BU-1064-M, (1990). Google Scholar

[353]

Stephen P. Blythe and Carlos Castillo-Chavez, The one-sex mixing problem: A choice of solutions?,, Technical Report BU-1075-M, (1990). Google Scholar

[354]

Catherine M. Crawford, Steven J. Schwager and Carlos Castillo-Chavez, A methodology for asking sensitive questions among college undergraduates,, Technical Report BU-1105-M, (1990). Google Scholar

[355]

Wenzhang Huang, Carlos Castillo-Chavez, Kenneth L. Cooke and Simon A. Levin, On the role of long incubation periods in the dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: Multiple group models,, Technical Report BU-986-M, (1990). Google Scholar

[356]

Simon A. Levin and Carlos Castillo-Chavez, Topics in evolutionary ecology,, Technical Report BU-984-MA, (1990). Google Scholar

[357]

Lisa Sattenspiel and Carlos Castillo-Chavez, Environmental context, social interactions, and the spread of HIV,, Technical Report BU-1076-M, (1990). Google Scholar

[358]

Steven J. Schwager, Catherine M. Crawford, Carlos Castillo-Chavez, Martin Wells, David Gibbs, Carl Howard, Kevin Kordziel, Brian Mellone, Amy Okurowski, Amy Porter, Jong Reem and Thomas Spargo, The effect of telephone follow-up calls on sensitive survey non-respondents,, Technical Report BU-1082-M, (1990). Google Scholar

[359]

Fred Adler, Lincoln Smith and Carlos Castillo-Chavez, A distributed-delay model for the local population dynamics parasitoid-host system,, Technical Report BU-1012-M, (1989). Google Scholar

[360]

Stephen P. Blythe and Carlos Castillo-Chavez, Like-with-like preference and sexual mixing models,, Technical Report BU-982-M, (1989). Google Scholar

[361]

Stavros Busenberg and Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases,, Technical Report BU-1030-M, (1989). Google Scholar

[362]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Results on the dynamics for models for the sexual transmission of the human immuno-deficiency virus,, Technical Report BU-1004-M, (1989). Google Scholar

[363]

C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modelling of epidemics,, Technical Report BU-1014-M, (1989). Google Scholar

[364]

Carlos Castillo-Chavez, Kenneth Cooke, Wenzhang Huang and Simon A. Levin, The role of long incubation periods in the dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 1: Single Population Models,, Technical Report BU-985-M, (1989). Google Scholar

[365]

Carlos Castillo-Chavez, Herbert W. Hethcote, Viggo Andreasen and Wei-min Levin, Simon A.z Liu, Epidemiological models with age structure, proportionate mixing, and cross- immunity,, Technical Report BU-991-M, (1989). Google Scholar

[366]

Kenneth L. Cooke, Donald A. Allers and Carlos Castillo-Chavez, Mixing patterns and multiple endemic states in models of AIDS,, Technical Report BU-1056-M, (1989). Google Scholar

[367]

S. A. Levin, Kirk Moloney, Linda Buttel and Carlos Castillo-Chavez, Dynamical models of ecosystems and epidemics,, Technical Report BU-1015-M, (1989). Google Scholar

[368]

Steven J. Schwager, Carlos Castillo-Chavez and Herbert Hethcote, Statistical and mathematical approaches in HIV/AIDS modeling: A review,, Technical Report BU-1059-M, (1989). Google Scholar

[369]

Horst R. Thieme and Carlos Castillo-Chavez, On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic,, Technical Report BU-1054-M, (1989). Google Scholar

[370]

Carlos Castillo-Chavez, Kenneth Cooke, Wenzhang Huang and Simon A. Levin, The role of long periods of infectiousness in the dynamics of Acquired Immunodeficiency Syndrome (AIDS),, Technical Report BU-1011-M, (1988). Google Scholar

[371]

Carlos Castillo-Chavez, The intersecting lives of two mathematicians in east LA,, SIAM News, 43 (2010). Google Scholar

[372]

Carlos Castillo-Chavez, Teacher, research mathematician, mentor: A groundbreaking career in computational and mathematical biology: Expanding our scope,, SIAM News 43 (2010)., 43 (2010). Google Scholar

[373]

Carlos Castillo-Chavez, Mathematics, epidemics, and homeland security,, Science Careers, (2006). Google Scholar

[374]

Carlos Castillo-Chavez, Starting graduate school: Mathematics training, part 1,, Science Careers, (2004). Google Scholar

[375]

Carlos Castillo-Chavez, Starting graduate school: Mathematics training, part 2,, Science Careers, (2004). Google Scholar

[376]

Carlos Castillo-Chavez, Conferences are not just for faculty members,, Science Careers, (2004). Google Scholar

[377]

Carlos Castillo-Chavez, International collaborations: Mathematical biology at Xi'an Jiaotong University,, Science Careers, (2004). Google Scholar

[378]

Carlos Castillo-Chavez, Fellowship and admission decisions for graduate programs in the mathematical sciences,, Science Careers, (2004). Google Scholar

[379]

Carlos Castillo-Chavez, Mentorship and the New American University,, Science Careers, (2004). Google Scholar

[380]

Carlos Castillo-Chavez, The Mathematical and Theoretical Biology Institute helps fill a void,, Science Careers, (2004). Google Scholar

[381]

Jim Austin and Carlos Castillo-Chavez, Math and biology: Careers at the interface *Feature Index*,, Science Careers, (2004). Google Scholar

[382]

Carlos Castillo-Chavez, Mathematical biology at Arizona State University,, Science Careers, (2004). Google Scholar

[383]

Carlos Castillo-Chavez, Career mathematics issues for students of color,, Science Careers, (2004). Google Scholar

[384]

Carlos Castillo-Chavez, Adventures of a mathematical biologist,, Science Careers, (2003). Google Scholar

[385]

Carlos Castillo-Chavez, State Dept. stops free speech at the border,, The New York Times, (1994). Google Scholar

[386]

C. Castillo-Chavez, Oxford meeting review, Mathematical Biology Society, Newsletter, 4 (1990), 6. Google Scholar

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C. Castillo-Chavez, F. Sanchez and D. Murillo, Change in host behavior and its impact on the transmission dynamics of dengue,, in, (2012), 191. Google Scholar

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Faina Berezovskaya, S. Wirkus, B. Song and C. Castillo-Chavez, Dynamics of population communities with prey migrations and Allee effects: A bifurcation approach,, Mathematical Medicine and Biology, 28 (2011), 129. Google Scholar

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Carlos Castillo-Chavez and Juan Pablo Aparicio, On the use of mechanistic and data-driven models in population dynamics: The case of tuberculosis in the us over that past two centuries,, in, (2011), 73. Google Scholar

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Carlos Castillo-Chavez and Gerardo Chowell, Preface,, Mathematical Biosciences and Engineering (MBE), 8 (2011). Google Scholar

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Paula González-Parra, Sunmi Lee, Leticia Velázquez, and Carlos Castillo-Chavez, A note on the use of optimal control on a discrete time model of influenza dynamics,, Mathematical Biosciences and Engineering (MBE), 8 (2011), 183. Google Scholar

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M. A. Herrera-Valdez, M. Cruz-Aponte and Carlos Castillo-Chavez, Multiple outbreaks for the same pandemic: Local transportation and social distancing explain the different "waves" of A-H1N1pdm cases observed in México during 2009,, Mathematical Biosciences and Engineering (MBE), 8 (2011), 21. Google Scholar

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Hai-Feng Huo, Xiaohong Wang and Carlos Castillo-Chavez, Dynamics of a stage-structured Leslie-Gower predator-prey model,, Mathematical Problems in Engineering, 2011 (2011). Google Scholar

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Sunmi Lee, Romarie Morales and Carlos Castillo-Chavez, A note on the use of influenza vaccination strategies when supply is limited,, Mathematical Biosciences and Engineering (MBE), 8 (2011), 171. Google Scholar

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Anuj Mubayi, Priscilla Greenwood, Xiaohong Wang, Carlos Castillo-Chávez, Dennis M. Gorman, Paul Gruenewald and Robert F. Saltz, Types of drinkers and drinking settings: an application of a mathematical model,, Addiction, 106 (2011), 749. Google Scholar

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A. R. Ortiz, T. Banks, H, C. Castillo-Chavez, G. Chowell and X. Wang, A deterministic methodology for estimation of parameters in dynamic markov chain models,, Journal of Biological Systems, 19 (2011), 71. Google Scholar

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Olivia Prosper, Omar Saucedo, Doria Thompson, Griselle Torres-Garcia, Xiaohong Wang and Carlos Castillo-Chavez, Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza,, Mathematical Biosciences and Engineering (MBE), 8 (2011), 141. Google Scholar

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Karen R. Ríos-Soto, Baojun Song and Carlos Castillo-Chavez, Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics,, Mathematical Biosciences and Engineering (MBE), 8 (2011), 199. Google Scholar

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S. Lee, E. Jung and C. Castillo-Chavez, Optimal control intervention strategies in low- and high-risk problem drinking populations,, Socio-Economic Planning Sciences, 44 (2010), 258. Google Scholar

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Carlos Hernández-Suárez, Carlos Castillo-Chavez, Osval López and Karla Hernández-Cuevas, An application of queuing theory to SIS and SEIS epidemic models,, Mathematical Biosciences and Engineering, 7 (2010), 809. Google Scholar

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Faina S Berezovskaya, Baojun Song and Carlos Castillo-Chavez, Role of prey dispersal and refuges on predator-prey dynamics,, SIAM Journal on Applied Mathematics, 70 (2010), 1821. Google Scholar

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Fred Brauer, Zhilan Feng and Carlos Castillo-Chavez, Discrete epidemic models,, Mathematical Biosciences and Engineering (MBE), 7 (2010), 1. Google Scholar

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Karen Chow, Xiaohong Wang, R. Curtiss III and Carlos Castillo-Chavez, Evaluating the efficacy of antimicrobial cycling programmes and patient isolation on dual resistance in hospitals,, Journal of Biological Dynamics, 5 (2010), 27. Google Scholar

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Nicolás Crisosto, Christopher Kribs-Zaleta, Carlos Castillo-Chavez and Stephen Wirkus, Community resilience in collaborative learning,, Discrete and Continuous Dynamical Systems-Series B, 14 (2010), 17. Google Scholar

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Paula A Gonzalez-Parra, Leticia Velazquez, Maria C. Villalobos and Carlos Castillo-Chavez, Optimal control applied to a discrete influenza model,, in, (2010), 18. Google Scholar

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Sunmi Lee, Gerardo Chowell and Carlos Castillo-Chávez, Optimal control for pandemic influenza: The role of limited antiviral treatment and isolation,, Journal of Theoretical Biology, 265 (2010), 136. Google Scholar

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Benjamin R. Morin, Carlos Castillo-Chavez, Shu-Fang Hsu Schmitz, Anuj Mubayi and Xiahong Wang, Notes from the heterogeneous: a few observations on the implications and necessity of affinity,, Journal of Biological Dynamics, 4 (2010), 456. Google Scholar

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Benjamin R. Morin, Liana Medina-Rios, Erika T. Camacho and Carlos Castillo-Chavez, Static behavioral effects on gonorrhea transmission dynamics in a MSM population,, Journal of Theoretical Biology, 267 (2010), 35. Google Scholar

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Anuj Mubayi, Carlos Castillo-Chavez, Gerardo Chowell, Christopher Kribs-Zaleta, Niyamat Ali Siddiqui, Narendra Kumar and Pradeep Das, Transmission dynamics and underreporting of Kala-azar in the Indian state of Bihar,, Journal of Theoretical Biology, 262 (2010), 177. Google Scholar

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Anuj Mubayi, Priscilla E. Greenwood, Carlos Castillo-Chávez, Paul J. Gruenewald and Dennis M. Gorman, The impact of relative residence times on the distribution of heavy drinkers in highly distinct environments,, Socio-Economic Planning Sciences, 44 (2010), 45. Google Scholar

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Anuj Mubayi, Christopher Kribs Zaleta, Maia Martcheva and Carlos Castillo-Chávez, A cost-based comparison of quarantine strategies for new emerging diseases,, Mathematical Biosciences and Engineering (MBE), 7 (2010), 687. Google Scholar

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Hiroshi Nishiura, Gerardo Chowell, Muntaser Safan and Carlos Castillo-Chavez, Pros and cons of estimating the reproduction number from early epidemic growth rate of influenza A (H1N1) 2009,, Theoretical Biology and Medical Modelling, 7 (2010). Google Scholar

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Angela Ortiz, H. Thomas Banks, Carlos Castillo-Chavez, Gerardo Chowell and Xiaohong Wang, A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals,, Journal of Inverse and Ill-Posed Problems, 18 (2010), 787. Google Scholar

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Karyn L. Sutton, H. T. Banks and Carlos Castillo-Chavez, Using inverse problem methods with surveillance data in pneumococcal vaccination,, Mathematical and Computer Modelling, 51 (2010), 369. Google Scholar

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X. Wang, Z. Feng, J. Aparicio and C. Castillo-Chavez, On the dynamics reinfection: The case of tuberculosis,, International Symposium on Mathematical and Computational Biology (ed. Rubem P. Mondaini), (2010), 304. Google Scholar

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Juan Pablo Aparicio and Carlos Castillo-Chavez, Mathematical modelling of tuberculosis epidemics,, Mathematical Biosciences and Engineering (MBE), 6 (2009), 209. Google Scholar

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Stephen P. Blythe, Carlos Castillo-Chavez and George Casella, Empirical methods for the estimation of the mixing probabilities for socially structured populations from a single survey sample,, Mathematical Population Studies, 3 (2009), 199. Google Scholar

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Carlos Castillo-Chavez and Carlos Castillo-Garsow, Increasing minority representation in the mathematical sciences: Good models but no will to scale up their impact,, in, (2009), 135. Google Scholar

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Carlos Castillo-Chavez, Christopher Zaleta, Yang Kuang and Baojun Song, From the guest editors,, Mathematical Biosciences and Engineering (MBE), 6 (2009). Google Scholar

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Ariel Cintrón-Arias, Carlos Castillo-Chávez, Luís M. A. Bettencourt, Alun L. Lloyd and H. T. Banks, The estimation of the effective reproductive number from disease outbreak data,, Mathematical Biosciences and Engineering (MBE), 6 (2009), 261. Google Scholar

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Ariel Cintrón-Arias, Fabio Sanchez, Xiaohong Wang, Carlos Castillo-Chavez, Dennis M Gorman and Paul J Gruenewald, The role of nonlinear relapse on contagion amongst drinking communities,, in, (2009), 343. Google Scholar

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Irina Kareva, Faina Berezovskaya and Carlos Castillo-Chavez, Myeloid cells in tumour-immune interactions,, Journal of Biological Dynamics, 4 (2009), 315. Google Scholar

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H. Nishiura, C. Castillo-Chavez, M. Safan and G. Chowell, Transmission potential of the new influenza A(H1N1) virus and its age-specificity in Japan,, Euro Surveillance, 14 (2009), 1. Google Scholar

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M. Nuño, C. Castillo-Chavéz and M. Martcheva, Immune level approach for multiple strain pathogens,, Journal of Biological Systems, 17 (2009), 713. Google Scholar

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Rios-Doria, Gerardo Chowell, Cesar Munayco-Escate, Alvaro Witthembury and Carlos Castillo-Chavez, Spatial and temporal dynamics of rubella in Peru, 1997-2006: Geographic patterns, age at infection and estimation of transmissibility,, in, (2009), 325. Google Scholar

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Lih-Ing W. Roeger, Zhilan Feng and Carlos Castillo-Chavez, Modeling TB and HIV co-infections,, Mathematical Biosciences and Engineering (MBE), 6 (2009), 815. Google Scholar

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Eunha Shim and Carlos Castillo-Chavez, The epidemiological impact of rotavirus vaccination programs in the United States and Mexico,, Mathematical and Statistical Estimation Approaches in Epidemiology, (2009), 303. Google Scholar

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Karyn L. Sutton, H. T. Banks and Carlos Castillo-Chavez, Public vaccination policy using an age-structured model of pneumococcal infection dynamics,, Journal of Biological Dynamics, 4 (2009), 176. Google Scholar

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L. M. A. Bettencourt, D. I. Kaiser, J. Kaur, C. Castillo-Chavez and D. E. Wojick, Population modeling of the emergence and development of scientific fields,, Scientometrics, 75 (2008), 495. Google Scholar

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Carlos Castillo-Chavez, Zhilan Feng and Dashun Xu, A schistosomiasis model with mating structure and time delay,, Mathematical Biosciences, 211 (2008), 333. Google Scholar

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Carlos Castillo-Chavez and Bingtuan Li, Spatial spread of sexually transmitted diseases within susceptible populations at demographic steady state,, Mathematical Biosciences and Engineering (MBE), 5 (2008), 713. Google Scholar

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M. Nuño, C. Castillo-Chavez, Z. Feng and M. Martcheva, Mathematical models of influenza: The role of cross-immunity, quarantine and age-structure,, in, (2008), 349. Google Scholar

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Karyn L. Sutton, H. T. Banks and Carlos Castillo-Chavez, Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia,, Mathematical Biosciences and Engineering (MBE), 5 (2008), 175. Google Scholar

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Luís M. A. Bettencourt, Ruy M. Ribeiro, Gerardo Chowell, Timothy Lant and Carlos Castillo-Chavez, Towards real time epidemiology: Data assimilation, modeling and anomaly detection of health surveillance data streams,, in, (2007), 79. Google Scholar

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Carlos Castillo-Chavez and Carlos Castillo-Garsow, Analytical tools for evolutionary processes,, American Scientist, 95 (2007), 546. Google Scholar

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Gerardo Chowell, Porfirio Díaz-Dueñas, Diego Chowell, Sarah Hews, Gabriel Ceja-Espíritu, James M. Hyman and Carlos Castillo-Chavez, Clinical diagnosis delays and epidemiology of dengue fever during the 2002 outbreak in Colima, Mexico,, Dengue Bulletin, 31 (2007), 26. Google Scholar

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M. Nuño, G. Chowell, X. Wang and C. Castillo-Chavez, On the role of cross-immunity and vaccines on the survival of less fit flu-strains,, Theoretical Population Biology, 71 (2007), 20. Google Scholar

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Fabio Sanchez, Xiaohong Wang, Carlos Castillo-Chavez, Dennis M. Gorman, and Paul J. Gruenewald, Drinking as an epidemic-a simple mathematical model with recovery and relapse,, in, (2007), 353. Google Scholar

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Luís M.A. Bettencourt, Ariel Cintrón-Arias, David I. Kaiser and Carlos Castillo-Chávez, The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models,, Physica A: Statistical Mechanics and its Applications, 364 (2006), 513. Google Scholar

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Fred Brauer, Carlos Castillo-Chavez, Thomas G. Hallam, Jia Li, Jianhong Wu and Yicang Zhou, Zhien Ma's contributions to dynamical systems, ecotoxicology and epidemiology- A scientific leader, educator and scholar,, Mathematical Biosciences and Engineering (MBE), 3 (2006). Google Scholar

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G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman and C. Castillo-Chavez, The role of spatial mixing in the spread of foot-and-mouth disease,, Preventive Veterinary Medicine, 73 (2006), 297. Google Scholar

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G. Chowell, E. Shim, F. Brauer, P. Diaz-Dueñas, Pas, J. M. Hyman and C. Castillo-Chavez, Modelling the transmission dynamics of acute haemorrhagic conjunctivitis: Application to the 2003 outbreak in Mexico,, Statistics in Medicine, 25 (2006), 1840. Google Scholar

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Gerardo Chowell, Ariel Cintron-Arias, Sara Del Valle, Fabio Sanchez, Baojun Song, James M. Hyman, Herbert W. Hethcote and Carlos Castillo-Chavez, Critical response to post-outbreak vaccination against foot-and-mouth disease,, in, (2006), 17. Google Scholar

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Zhilan Feng and Carlos Castillo-Chavez, The influence of infectious diseases on population genetics,, Mathematical Biosciences and Engineering (MBE), 3 (2006), 467. Google Scholar

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Karen R. Rios-Soto, Carlos Castillo-Chavez, Michael G. Neubert, Edriss S. Titi and Abdul-Aziz Yakubu, Epidemic spread in populations at demographic equilibrium,, in, (2006), 17. Google Scholar

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F. Sánchez, M. Engman, L. Harrington and C. Castillo-Chavez, Models for dengue transmission and control,, in, (2006), 17. Google Scholar

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E. Shim, H. T. Banks and C. Castillo-Chavez, Seasonality of rotavirus infection with its vaccination,, in, (2006), 17. Google Scholar

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E. Shim, Z. Feng, M. Martcheva and C. Castillo-Chavez, An age-structured epidemic model of rotavirus with vaccination,, Journal of Mathematical Biology, 53 (2006), 719. Google Scholar

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Baojun Song, Melissa Castillo-Garsow, Karen R. Ríos-Soto, Marcin Mejran, Leilani Henso and Carlos Castillo-Chavez, Raves, clubs and ecstasy: The impact of peer pressure,, Mathematical Biosciences and Engineering (MBE), 3 (2006), 249. Google Scholar

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S. Tennenbaum, T.G. Kassem, S. Roudenko, and C. Castillo-Chavez, The role of transactional sex in spreading HIV in Nigeria,, in, (2006), 17. Google Scholar

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Gerardo Chowell, Carlos Castillo-Chavez and Porfirio Diaz-Duenas, Characterization of an outbreak of acute hemorrhagic conjunctivitis in Mexico, 2003,, Digital Journal of Ophthalmology, 11 (2005). Google Scholar

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Faina Berezovsky, Georgy Karev, Baojun Song and Carlos Castillo-Chavez, A simple epidemic model with surprising dynamics,, Mathematical Biosciences and Engineering (MBE), 2 (2005), 133. Google Scholar

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P. Diaz, G. Chowell, G. Ceja, T. C. D'Auria, R. C. Lloyd and C. Castillo-Chavez, Pediatric electrocardiograph abnormalities following Centruroides limpidus tecomanus scorpion envenomation,, Toxicon, 45 (2005), 27. Google Scholar

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Zhilan Feng, Wenzhang Huang and Carlos Castillo-Chavez, global behavior of a multi-group SIS epidemic model with age structure,, Journal of Differential Equations, 218 (2005), 292. Google Scholar

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Julijana Gjorgjieva, Kelly Smith, Gerardo Chowell, Fabio Sánchez, Jessica Snyder and Carlos Castillo-Chavez, The role of vaccination in the control of SARS,, Mathematical Biosciences and Engineering (MBE), 2 (2005), 753. Google Scholar

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M. Nuño, Z. Feng, M. Martcheva and C. Castillo-Chavez, Dynamics of two-strain influenza with isolation and partial cross-immunity,, SIAM Journal on Applied Mathematics, 65 (2005), 964. Google Scholar

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S. Del Valle, H. Hethcote, J. M. Hyman and C. Castillo-Chavez, Effects of behavioral changes in a smallpox attack model,, Mathematical Biosciences, 195 (2005), 228. Google Scholar

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Carlos Castillo-Chavez and Baojun Song, Dynamical models of tuberculosis and their applications,, Mathematical Biosciences and Engineering (MBE), 1 (2004), 361. Google Scholar

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G. Chowell, N. W. Hengartner, C. Castillo-Chavez, P. W. Fenimore and J. M. Hyman, The basic reproductive number of Ebola and the effects of public health measures: The cases of Congo and Uganda,, Journal of Theoretical Biology, 229 (2004), 119. Google Scholar

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Gerardo Chowell, Carlos Castillo-Chavez, Paul W. Fenimore, Christopher M. Kribs-Zaleta, Leon Arriola and James M. Hyman, Model parameters and outbreak control for SARS,, Emerging Infectious Diseases, 10 (2004), 1258. Google Scholar

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H. T. Banks and Carlos Castillo-Chavez, eds., "Bioterrorism: Mathematical Modeling Applications in Homel and Security,", Frontiers in Applied Mathematics, (2003). Google Scholar

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J. Best, C. Castillo-Chavez, and A. A. Yakubu, Hierarchical competition in discrete time models with dispersal,, in, (2003). Google Scholar

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Carlos Castillo-Chavez, Carlos W. Castillo-Garsow and Abdul-Aziz Yakubu, Mathematical models of isolation and quarantine,, JAMA: The Journal of the American Medical Association, 290 (2003), 2876. Google Scholar

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Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis,, in, 1 (2004), 361. Google Scholar

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Carlos Castillo-Chavez, Baojun Song and Juan Zhang, An epidemic model with virtual mass transportation: The case of smallpox in a large city,, in, (2003), 173. Google Scholar

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G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism,, Journal of Theoretical Biology, 224 (2003), 1. Google Scholar

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G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, Scaling laws for the movement of people between locations in a large city,, Physical Review E, 68 (2003). Google Scholar

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Jia Li, Zhien Ma, Steve P. Blythe and Carlos Castillo-Chavez, Coexistence of pathogens in sexually-transmitted disease models,, Journal of Mathematical Biology, 47 (2003), 547. Google Scholar

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Maia Martcheva and Carlos Castillo-Chavez, Diseases with chronic stage in a population with varying size, , Mathematical Biosciences, 182 (2003), 1. Google Scholar

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J. P. Aparicio, A. Capurro and C. Castillo-Chavez, Frequency dependent risk of infection and the spread of infectious diseases,, in, (2002), 341. Google Scholar

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J. P. Aparicio, A. Capurro and C. Castillo-Chavez, On the long-term dynamics and re-emergence of tuberculosis,, in, (2002), 351. Google Scholar

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Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Markers of disease evolution: The case of tuberculosis,, Journal of Theoretical Biology, 215 (2002), 227. Google Scholar

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C. Castillo-Chavez, Z. Feng and W. Huang, On the computation $\mathcalR_{0}$ and its role on global stability,, in, (2002), 229. Google Scholar

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C. Castillo-Chavez, A.-A. Yakubu, H. Thieme and M. Martcheva, Nonlinear mating models for populations with discrete generations,, in, (2002), 251. Google Scholar

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Carlos Castillo-Chavez and Wenzhang Huang, Age-structured core group model and its impact on STD dynamics,, in, (2002), 261. Google Scholar

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Carlos Castillo-Chavez and Fred S. Roberts, Report on DIMACS working group meeting: Mathematical sciences methods for the study of deliberate releases of biological agents and their consequences,, DIMACS TR: 2002-39, (2002), 2002. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with simple and complex dynamics,, in, (2002), 153. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Intra-specific competition and dispersal and disease dynamics in discrete-time patchy environments,, in, (2002), 165. Google Scholar

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K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model,, in, (2002), 129. Google Scholar

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Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of tuberculosis models with density dependent demography,, in, (2002), 275. Google Scholar

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Baojun Song, Carlos Castillo-Chavez and Juan Pablo Aparicio, Tuberculosis models with fast and slow dynamics: The role of close and casual contacts,, Mathematical Biosciences, 180 (2002), 187. Google Scholar

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Abdul-Aziz Yakubu and Carlos Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models,, Journal of Theoretical Biology, 218 (2002), 273. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Epidemics on attractors,, in, (2001), 23. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Dispersal, disease and life-history evolution,, Mathematical Biosciences, 173 (2001), 35. Google Scholar

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Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with complex dynamics,, Nonlinear Analysis: Theory, 47 (2001), 4753. Google Scholar

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Zhilan Feng, Wenzhang Huang and Carlos Castillo-Chavez, On the role of variable latent periods in mathematical models for tuberculosis,, Journal of Dynamics and Differential Equations, 13 (2001), 425. Google Scholar

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Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Transmission and dynamics of tuberculosis on generalized households,, Journal of Theoretical Biology, 206 (2000), 327. Google Scholar

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Zhilan Feng, Carlos Castillo-Chavez and Angel F. Capurro, A model for tuberculosis with exogenous reinfection,, Theoretical Population Biology, 57 (2000), 235. Google Scholar

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Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, Urn models and vaccine efficacy estimation,, Statistics in Medicine, 19 (2000), 827. Google Scholar

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S.-F. Hsu Schmitz and C. Castillo-Chavez, A note on pair-formation functions,, Mathematical and Computer Modelling (Proceedings of the Conference on Dynamical Systems in Biology and Medicine), 31 (2000), 83. Google Scholar

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C. Castillo-Chavez, Under-representation perspectives from academia. Meeting america's needs for the scientific and technological challenges of the 21st century,, Executive Office of the President of Science and Technology Policy, (1999), 27. Google Scholar

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Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, Competitive exclusion and coexistence of multiple strains in an SIS STD model,, SIAM Journal on Applied Mathematics, 59 (1999), 1790. Google Scholar

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Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, A basic result on the integral for birth-death Markov processes,, Mathematical Biosciences, 161 (1999), 95. Google Scholar

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Jaime Mena-Lorca, Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Density-dependent dynamics and super-infection in an epidemic model,, Mathematical Medicine and Biology, 16 (1999), 307. Google Scholar

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A. F. Capurro, M. Zellner and C. Castillo-Chávez, The effect of bus transportation on the tuberculosis disease dynamic at population level,, Documento de trabajo, (1998). Google Scholar

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C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Multiple group models with heterogeneous mixing for the transmission dynamics of HIV/AIDS,, in, (1990), 4. Google Scholar

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Carlos Castillo-Chavez and Zhilan Feng, Global stability of an age-structure model for TB and its applications to optimal vaccination strategies,, Mathematical Biosciences, 151 (1998), 135. Google Scholar

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Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between evolution of virulence and host demography,, Journal of Theoretical Biology, 192 (1998), 437. Google Scholar

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Jonathan Dushoff, Wenzhang Huang and Carlos Castillo-Chavez, Backwards bifurcations and catastrophe in simple models of fatal diseases,, Journal of Mathematical Biology, 36 (1998), 227. Google Scholar

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C. Castillo-Chavez and Z. Feng, Mathematical models for the disease dynamics of tuberculosis,, in, (1997), 23. Google Scholar

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F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease model,, in, (1997), 1438. Google Scholar

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A. Capurro, F. Brauer, C. Castillo-Chavez and M. Zellner, Conceptos básicos en la epidemiología teórica,, in, (1997), 35. Google Scholar

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A. Capurro, C. Castillo-Chavez, Z. Feng and M. Zellner, Modelos para la dinámica de transmisión de la tuberculosis,, in, (1997), 13. Google Scholar

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C. Castillo-Chavez, W. Huang and J. Li, The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases,, Journal of Mathematical Biology, 35 (1997), 503. Google Scholar

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Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis,, Journal of Mathematical Biology, 35 (1997), 629. Google Scholar

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Carlos Castillo-Chavez and Shu-FangHsu Schmitz, The evolution of age-structured marriage functions: It takes two to tango,, in, (1997), 533. Google Scholar

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F. Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models,, in, (1996), 35. Google Scholar

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C. Castillo-Chavez, Competitive exclusion in gonorrhea models and other sexually transmitted diseases,, SIAM Journal on Applied Mathematics, 56 (1996), 494. Google Scholar

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C. Castillo-Chavez, W. Huang and J. Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models,, in, (1996), 1. Google Scholar

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Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions,, Journal of Mathematical Biology, 34 (1996), 413. Google Scholar

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S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits,, in, (1996), 19. Google Scholar

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Velasco-Hernández, Jorge X., Fred Brauer and Carlos Castillo-Chavez, Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease,, Mathematical Medicine and Biology, 13 (1996), 175. Google Scholar

[197]

Jorge X Velasco-Hernandez and Carlos Castillo-Chavez, Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach,, in, (1996), 19. Google Scholar

[198]

Stephen Blythe, Stavros Busenberg and Carlos Castillo-Chavez, Affinity in paired event probability,, Mathematical Biosciences, 128 (1995), 265. Google Scholar

[199]

Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology,, in, (1995), 410. Google Scholar

[200]

C. Castillo-Chavez, Dedication: Advances in mathematical modeling of biological processes,, in, (1995). Google Scholar

[201]

C. Castillo-Chavez, Personal recollections: The society for mathematical biology remembers Betty Tang (7/17/54-9/13/95),, Mathematical Biology Newsletter, 9 (1995). Google Scholar

[202]

C. Castillo-Chavez and H. Thieme, Asymptotically autonomous epidemic models,, in, (1995), 1. Google Scholar

[203]

Carlos Castillo-Chavez, Kenneth L. Cooke and Horst R. Thieme, Remembering Stavros Busenberg,, Mathematical Biosciences, 128 (1995), 3. Google Scholar

[204]

Carlos Castillo-Chavez and Wenzhang Huang, The logistic equation revisited: The two-sex case,, Mathematical Biosciences, 128 (1995), 299. Google Scholar

[205]

K. P. Hadeler and C. Castillo-Chavez, A core group model for disease transmission,, Mathematical Biosciences, 128 (1995), 41. Google Scholar

[206]

Carlos Castillo-Chavez and Shu-Fang Hsu Schmitz, Parameter estimation in non-closed social networks related to the dynamics of sexually-transmitted diseases,, in, (1994), 533. Google Scholar

[207]

Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology,, in, (1994), 454. Google Scholar

[208]

X. Luo and C. Castillo-Chavez, Limit behavior of pair-formation for a large dissolution rate,, Journal of Mathematical Systems, 3 (1993), 247. Google Scholar

[209]

Horst R. Thieme and Carlos Castillo-Chavez, How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS?,, SIAM Journal on Applied Mathematics, 53 (1993), 1447. Google Scholar

[210]

Carlos Castillo-Chavez, Shwu-Fang Shyu, Gail Rubin and David Umbach, On the estimation problem of mixing/pair formation matrices with applications to models for sexually-transmitted diseases,, in, (1992), 384. Google Scholar

[211]

Wenzhang Huang, Kenneth L. Cooke and Carlos Castillo-Chavez, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission,, SIAM Journal on Applied Mathematics, 52 (1992), 835. Google Scholar

[212]

S. Lubkin, S. F. H. Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits,, in, (1992), 745. Google Scholar

[213]

Gail Rubin, David Umbach, Shwu-Fang Shyu and Carlos Castillo-Chavez, Using mark-recapture methodology to estimate the size of a population at risk for sexually transmitted diseases,, Statistics in Medicine, 11 (1992), 1533. Google Scholar

[214]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks,, in, (1992), 19. Google Scholar

[215]

S. P. Blythe, C. Castillo-Chavez, J. S. Palmer and M. Cheng, Toward a unified theory of sexual mixing and pair formation,, Mathematical Biosciences, 107 (1991), 379. Google Scholar

[216]

Stavros Busenberg and Carlos Castillo-Chavez, A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS,, Mathematical Medicine and Biology, 8 (1991), 1. Google Scholar

[217]

C. Castillo-Chavez and S. Busenberg, On the solution of the two-sex mixing problem,, in, (1991), 80. Google Scholar

[218]

Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations,, in, (1991), 47. Google Scholar

[219]

Kenneth L. Cooke, Donald A. Allers and Carlos Castillo-Chavez, Mixing patterns in models of AIDS,, in, (1991), 297. Google Scholar

[220]

Stephen P. Blythe and Carlos Castillo-Chavez, Scaling of sexual activity,, Nature, 344 (1990), 202. Google Scholar

[221]

Lisa Sattenspiel and Carlos Castillo-Chavez, Environmental context, social interactions, and the spread of HIV,, American Journal of Human Biology, 2 (1990), 397. Google Scholar

[222]

Fred Adler, Lincoln Smith and Carlos Castillo-Chavez, A distributed-delay model for the local population dynamics of a parasitoid-host system,, in, (1989), 152. Google Scholar

[223]

S. Blythe and C Castillo-Chavez, Sexual mixing models with like-with-like preference,, in, (1989), 4. Google Scholar

[224]

Stephen P. Blythe and Carlos Castillo-Chavez, Like-with-like preference and sexual mixing models,, Mathematical Biosciences, 96 (1989), 221. Google Scholar

[225]

Stavros Busenberg and Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases,, in, (1989), 289. Google Scholar

[226]

C. Castillo-Chavez, Effects of social mixing in the spread of HIV/AIDS, mathematical models of infectious diseases,, Mathematisches Forschungsinstitut Oberwolfach, 5.2-11.2 (1989), 2. Google Scholar

[227]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS): Part 1: Single populations models,, Journal of Mathematical Biology, 27 (1989), 373. Google Scholar

[228]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus,, Applied Mathematics Letters, 2 (1989), 327. Google Scholar

[229]

C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modeling of epidemics,, in, (1989), 22. Google Scholar

[230]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. M. Liu, Epidemiological models with age structure, proportionate mixing, and cross-immunity,, Journal of Mathematical Biology, 27 (1989), 233. Google Scholar

[231]

Carlos Castillo-Chavez, Review of recent models of HIV/AIDS transmission,, in, (1989), 253. Google Scholar

[232]

Carlos Castillo-Chavez, Some applications of structured models in population dynamics,, in, (1989), 450. Google Scholar

[233]

Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior,, in, (1989), 275. Google Scholar

[234]

Carlos Castillo-Chavez, Kenneth L. Cooke, Wenzhang Huang and Simon A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS),, in, (1989), 177. Google Scholar

[235]

Carlos Castillo-Chavez, Kenneth L. Cooke, Wenzhang Huang and Simon A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 2: Multiple group models,, in, (1989), 200. Google Scholar

[236]

Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker, in, "Mathematical Approaches to Problems in Resource Management and Epidemiology", (1989). Google Scholar

[237]

Simon A. Levin, Kirk Moloney, Linda Buttel and Carlos Castillo-Chavez, Dynamical models of ecosystems and epidemics,, Future Generation Computer Systems, 5 (1989), 265. Google Scholar

[238]

Steven J. Schwager, Carlos Castillo-Chavez and Herbert Hethcote, Statistical and mathematical approaches in HIV/AIDS modeling: A review,, in, (1989), 2. Google Scholar

[239]

Horst R. Thieme and Carlos Castillo-Chavez, On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic,, in, (1989), 157. Google Scholar

[240]

C. Castillo-Chavez, Mathematical models for the spread of HIV/AIDS(Mtg. Review),, Mathematical Biology Society Newsletter, 3 (1988), 4. Google Scholar

[241]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. M. Liu, Cross-immunity in the dynamics of homogeneous and heterogeneous populations,, in, (1988), 303. Google Scholar

[242]

C. Castillo-Chavez, S. A. Levin and F. Gould, Physiological and behavioral adaptation to varying environments: A mathematical model,, Evolution, 42 (1988), 986. Google Scholar

[243]

S. A. Levin and C. Castillo-Chavez, Topics in evolutionary biology,, in, (1988), 3. Google Scholar

[244]

C. Castillo-Chavez, Linear character-dependent models with constant time delay in population dynamics,, Mathematical Modelling, 9 (1987), 821. Google Scholar

[245]

C. Castillo-Chavez, D. Grünbaum and S. A. Levin, Designing computer models of the spread of HIV (Human Immunodeficiency Virus),, (Newsletter, 3 (1987), 3. Google Scholar

[246]

Carlos Castillo-Chavez, Nonlinear character dependent models with constant time delay in population dynamics,, Journal of Mathematical Analysis and Applications, 128 (1987), 1. Google Scholar

[247]

C. Castillo-Chavez, An abstract theorem in linear and nonlinear deterministic character-dependent models with time delay in population dynamics,, in, (1986), 18. Google Scholar

[248]

C. Castillo-Chavez and D. S. Levine, Mini-symposium in population dynamics,, in, (1986), 18. Google Scholar

[249]

C. Castillo-Chavez, Some old and new discrete and continuous models in population dynamics,, in, (1985), 81. Google Scholar

[250]

C. Castillo-Chavez, Modelos deterministas del tipo MacKendrick-Von Foerster en la teoría dinámica de poblaciones,, Ciencia, 36 (1985), 105. Google Scholar

[251]

Carlos Castillo-Chavez, "Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics," Ph.D. thesis,, The University of Wisconsin, (1984). Google Scholar

[252]

Sunhwa Choi, Eunok Jung and Carlos Castillo-Chávez, Optimal treatment strategies for tuberculosis with exogenous reinfection,, Technical Report MTBI-07-04M, (2010), 07. Google Scholar

[253]

Paula A. González-Parra, Sunmi Lee, Leticia Velazquez and Carlos Castillo-Chávez, A note on the use of optimal control on a discrete time model of influenza dynamics,, Technical Report MTBI-07-07M, (2010), 07. Google Scholar

[254]

Ana Luz Vivas, Carlos Castillo-Chávez and Ernest Barany, A note on the dynamics of an SAIQR influenza model,, Technical Report MTBI-07-09M, (2010), 07. Google Scholar

[255]

Karen C. Chow, Xiaohong Wang and Carlos Castillo-Chavez, A mathematical model of nosocomial infection and antibiotic resistance: Evaluating the efficacy of antimicrobial cycling programs and patient isolation on dual resistance,, Technical Report MTBI-04-05M, (2007), 04. Google Scholar

[256]

Lily Davidoff, Karyn Sutton, Genevieve-Yvonne Toutain, Fabio Sánchez, Christopher Kribs-Zaleta and Carlos Castillo-Chavez, Mathematical modeling of the sex worker industry as a supply and demand system,, Technical Report MTBI-03-06M, (2006), 03. Google Scholar

[257]

Edgar Diaz, Alicia Urdapilleta, Gerardo Chowell and Carlos Castillo-Chávez, Ring vaccination as a control strategy for foot-and-mouth disease,, Technical Report MTBI-02-09M, (2005), 02. Google Scholar

[258]

Titus G. Kassem, Svetlana Roudenko, Stephen Tennenbaum and Carlos Castillo-Chávez, The role of transactional sex in the spread of HIV/AIDS: A modeling perspective,, Technical Report MTBI-02-13M, (2005), 02. Google Scholar

[259]

Karyn Sutton, Priscilla Greenwood, Christopher Kribs-Zaleta, Leon Arriola and Carlos Castillo-Chávez, Differential behavior of vectors infected with Chagas' disease,, Technical Report MTBI-02-12M, (2005), 02. Google Scholar

[260]

Haiyun Zhao, Zhilan Feng and Carlos Castillo-Chávez, The dynamics of poverty and crime,, Technical Report MTBI-02-08M, (2005), 02. Google Scholar

[261]

M. Nuno, Z. Feng, M. Martcheva and C. Castillo-Chavez, Dynamics of two-strain influenza with isolation and partial cross-immunity,, Technical Report BU-1606-M, (2005). Google Scholar

[262]

G. Chowell and C. Castillo-Chavez, Worst-case scenarios and epidemics,, Technical Report BU-1629-M, (2003). Google Scholar

[263]

G. Chowell, P. W. Fenimore, M. A. Castillo-Garsow and C. Castillo-Chavez, SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism,, Technical Report BU-1628-M, (2003). Google Scholar

[264]

G. Chowell, J. M. Hyman, S. Eubank and C. Castillo-Chavez, Scaling laws for the movement of people between locations in a large city,, Technical Report BU-1630-M, (2003). Google Scholar

[265]

A. L. Rivas, S. E. Tennenbaum, J. P. Aparicio, A. L. Hoogesteijn, H. O. Mohammed, C. Castillo-Chavez and S. J. Schwager, Critical response time (time available to implement effective measures for epidemic control): Model building and evaluation,, Technical Report BU-1631-M, (2003). Google Scholar

[266]

Ariel L. Rivas, Stephen Smith, Patrick J. Sullivan, Beth Gardner, Juan P. Aparicio, Almira L. Hoogesteijn and Carlos Castillo-Chavez, Identification of geographical factors associated with early spread of foot-and-mouth disease in the 2001 Uruguayan Epidemic,, Technical Report BU-1632-M, (2003). Google Scholar

[267]

Ariel L. Rivas, Steve E. Tennenbaum, Juan P. Aparicio, Almira L. Hoogesteyn, Carlos O. Olave, Robert W. Blake and Carlos Castillo-Chavez, Assessment of time available to implement measures for control of epidemics (critical response time) in the context of the 2001 Uruguayan foot-and-mouth disease outbreak,, Technical Report BU-1601-M, (2003). Google Scholar

[268]

Carlos Castillo-Chavez, Zhilan Feng and Wenzhang Huang, On the computation of $\mathcalR_{0}$ and its role on global stability,, Technical Report BU-1553-M, (2002). Google Scholar

[269]

Carlos Castillo-Chavez and Fred S. Roberts, Report on DIMACS working group meeting: Mathematical sciences methods for the study of deliberate releases of biological agents and their consequences,, Technical Report BU-1600-M, (2002). Google Scholar

[270]

Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis,, Technical Report BU-1607-M, (2002). Google Scholar

[271]

Johnsie Oritz, Manuel A. Rivera, Daniel Rubin, Israel Ruiz, Carlos M. Hernandez and Carlos Castillo-Chavez, Critical response models for foot-and-mouth disease epidemics,, Technical Report BU-1620-M, (2002). Google Scholar

[272]

Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of TB models with density dependent demography,, Technical Report BU-1552-M, (2002). Google Scholar

[273]

S. P. Blythe, K. Cooke and C. Castillo-Chavez, Autonomous risk-behavior change, and non-linear incidence rate, in models of sexually transmitted diseases,, Technical Report BU-1048-M, (2001). Google Scholar

[274]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Frequency dependent risk of infection and the spread of infectious diseases,, Technical Report BU-1503-M, (2001). Google Scholar

[275]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Dispersal, disease and life history evolution,, Technical Report BU-1538-M, (2001). Google Scholar

[276]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Discrete time S-I-S models with simple and complex population dynamics,, Technical Report BU-1539-M, (2001). Google Scholar

[277]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Intra-specific competition, dispersal and disease dynamics in discrete-time patchy environments,, Technical Report BU-1478-M, (2001). Google Scholar

[278]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete time S-I-S models with complex dynamics,, Technical Report BU-1479-M, (2001). Google Scholar

[279]

Nicolas M. Crisosto, Carlos Castillo-Chavez, Christopher Kribs-Zaleta and Stephen Wirkus, Who says we $\mathcalR_{0}$ ready for change?,, Technical Report BU-1586-M, (2001). Google Scholar

[280]

Baojun Song and Carlos Castillo-Chavez, Tuberculosis control in the US: A strategy to meet CDC's goal,, Technical Report BU-1561-M, (2001). Google Scholar

[281]

Corvina Dawn-Hayoolkaat Boyd, Alison M. Castro, Nicolas M. Crisosto, Arlene Morales Evangelista, Carlos Castillo-Chavez and Christopher Kribs-Zeleta, A socially transmitted disease: Teacher qualifications and dropout rates,, Technical Report BU-1526-M, (2000). Google Scholar

[282]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Markers of disease evolution: The case of tuberculosis,, Technical Report BU-1534-M, (2000). Google Scholar

[283]

Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, On the fall and rise of tuberculosis,, Technical Report BU-1477-M, (2000). Google Scholar

[284]

Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Epidemic models on attractors,, Technical Report BU-1540-M, (2000). Google Scholar

[285]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Geometric versus bounded growth on discrete-time S-I-S models with variable population size,, Technical Report BU-1480-M, (2000). Google Scholar

[286]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Nonlinear mating models for populations with non-overlapping generations,, Technical Report BU-1497-M, (2000). Google Scholar

[287]

Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time nonlinear pair formation models with geometric solutions ,, Technical Report BU-1496-M, (2000). Google Scholar

[288]

Paula A. Gonzalez, Roberto A. Saenz, Brisa N. Sanchez, Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Dispersal between two patches in a discrete time SEIS model,, Technical Report BU-1531-M, (2000). Google Scholar

[289]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, A note on pair-formation functions,, Technical Report BU-1405-M, (2000). Google Scholar

[290]

K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model,, Technical Report BU-1245-M, (1999). Google Scholar

[291]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Quasi-stationary distributions and behavior of birth-death markov process with absorbing states,, Technical Report BU-1332-M, (1999). Google Scholar

[292]

Wenzhang Huang and Carlos Castillo-Chavez, Age-structured core group model and its impact on STD dynamics,, Technical Report BU-1554-M, (1999). Google Scholar

[293]

Carlos Castillo-Chavez, Studies in theoretical biology: A collection of undergraduate research,, Technical Report BU-1419-M, (1998). Google Scholar

[294]

Carlos Castillo-Chavez and Zhilan Feng, Mathematical models for the disease dynamics of tuberculosis,, Technical Report BU-1321-M, (1998). Google Scholar

[295]

Carlos Castillo-Chavez and Carlos Castillo-Garsow, President's initiative on race: Briefing paper,, Technical Report BU-1404-M, (1997). Google Scholar

[296]

Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis,, Technical Report BU-1288-M, (1997). Google Scholar

[297]

Carlos Castillo-Chavez, Zhilan Feng and Angel F. Capurro, A distributed delay model for tuberculosis,, Technical Report BU-1389-M, (1997). Google Scholar

[298]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, The effects of female's susceptibility on coexistence of multiple pathogen strains of sexually transmitted diseases,, Technical Report BU-1307-M, (1997). Google Scholar

[299]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Estimating vaccine efficacy in stochastic SIR epidemic models with non homogeneous mixing,, Technical Report BU-1396-M, (1997). Google Scholar

[300]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Approximations to the quasistationary distributions of the sis and seis epidemic models for general distribution of the duration of the infectious state,, Technical Report BU-1397-M, (1997). Google Scholar

[301]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, On the evolution of age-structured marriage functions: It takes two to tango,, Technical Report BU-1310-M, (1997). Google Scholar

[302]

Fred Brauer, Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, Recruitment into a core group and its effect on the spread of a sexually-transmitted disease,, Technical Report BU-1320-M, (1996). Google Scholar

[303]

Angel F. Capurro, Carlos Castillo-Chavez and Zhilan Feng, El uso de modelos mathematicos para analizar la epidemiologia de la tuberculosis,, Technical Report BU-1390-M, (1996). Google Scholar

[304]

Carlos Castillo-Chavez, Studies in theoretical biology: A collectionof undergraduate research,, Technical Report BU-1370-M, (1996). Google Scholar

[305]

Carlos Castillo-Chavez and Zhilan Feng, Optimal vaccination strategies for tb in age-structure populations,, Technical Report BU-1323-M, (1996). Google Scholar

[306]

Carlos Castillo-Chavez, Samuel Fridman and Xiaolong Luo, Stochastic and deterministic models in epidemiology,, Technical Report BU-1192-M, (1996). Google Scholar

[307]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions,, Technical Report BU-1242-M, (1996). Google Scholar

[308]

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, Competitive exclusion in gonorrhea models and other sexually-transmitted diseases,, Technical Report BU-1217-M, (1996). Google Scholar

[309]

Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between tight coevolution and superinfection,, Technical Report BU-1328-M, (1996). Google Scholar

[310]

Carlos Castillo-Chavez and Wenxiong Xu, A TB model with infection-age-dependent infectivity,, Technical Report BU-1358-M, (1996). Google Scholar

[311]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks,, Technical Report BU-1183-M, (1996). Google Scholar

[312]

S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits,, Technical Report BU-1190-M, (1996). Google Scholar

[313]

Jorge X. Velasco-Hernandez, Fred Brauer and Carlos Castillo-Chavez, Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease,, Technical Report BU-1247-MA, (1996). Google Scholar

[314]

Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach,, Technical Report BU-1189-M, (1996). Google Scholar

[315]

S. P. Blythe, S. Busenberg and C. Castillo-Chavez, Affinity in paired-event probability,, Technical Report BU-1084-M, (1995). Google Scholar

[316]

Carlos Castillo-Chavez, Kenneth Cooke and Horst Thieme, Remembering Stavros Busenberg,, Technical Report BU-1240-M, (1995). Google Scholar

[317]

Carlos Castillo-Chavez and Wenzhang Huang, Logistic equation revisited: The two-sex case,, Technical Report BU-1244-M, (1995). Google Scholar

[318]

Carlos Castillo-Chavez and Jia Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models,, Technical Report BU-1306-M, (1995). Google Scholar

[319]

K. P. Hadeler and Carlos Castillo-Chavez, A core group model for disease transmission,, Technical Report BU-1250-M, (1995). Google Scholar

[320]

Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology,, Technical Report BU-1249-M, (1994). Google Scholar

[321]

Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology,, Technical Report BU-1191-M, (1994). Google Scholar

[322]

Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Parameter estimation in non-closed social networks related to dynamics of sexually transmitted diseases,, Technical Report BU-1200-M, (1994). Google Scholar

[323]

S. P. Blythe, F. Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Models for sexually transmitted diseases with recruitment,, Technical Report BU-1193-M, (1993). Google Scholar

[324]

Fred Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models,, Technical Report BU-1218-M, (1993). Google Scholar

[325]

Fred Brauer and Carlos Castillo-Chavez, Studies in theoretical epidemiology,, Technical Report BU-1188-M, (1993). Google Scholar

[326]

Angel F. Capurro, Carlos Castillo-Chavez and Samuel Fridman, Models of animals in their home range,, Technical Report BU-1219-M, (1993). Google Scholar

[327]

Carlos Castillo-Chavez, Samuel Fridman and Shu-Fang Hsu Schmitz, Simulation studies on stochastic models with heterogeneously mixing contact structures,, Technical Report BU-1204-M, (1993). Google Scholar

[328]

Carlos Castillo-Chavez and Horst Thieme, Asymptotically autonomous epidemic models,, Technical Report BU-1248-M, (1993). Google Scholar

[329]

Shu-Fang Hsu Schmitz, Stavros Busenberg and Carlos Castillo-Chavez, On the evolution of marriage functions: It takes two to tango,, Technical Report BU-1210-M, (1993). Google Scholar

[330]

Xiaolong Luo and Carlos Castillo-Chavez, Limit behavior of pair formation for a large dissolution rate,, Technical Report BU-1172-M, (1993). Google Scholar

[331]

Horst R. Thieme and Carlos Castillo-Chavez, How may infection-age dependent infectivity affect the dynamics of HIV/AIDS?,, Technical Report BU-1102-MA, (1993). Google Scholar

[332]

Stephen P. Blythe, Carlos Castillo-Chavez and George Casella, Empirical methods for the estimation of the mixing probabilities for socially structured populations from a single survey sample,, Technical Report BU-1072-MB, (1992). Google Scholar

[333]

F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease models,, Technical Report BU-1154-M, (1992). Google Scholar

[334]

Carlos Castillo-Chavez, Shwu-Fang Shyu, Gail Rubin and Dave Umbach, On the estimation problem of mixing/pair formation matrices with applications to models for sexually-transmitted diseases,, Technical Report BU-1144-MA, (1992). Google Scholar

[335]

Wenzhang Huang, Kenneth L. Cooke and Carlos Castillo-Chavez, Stability and bifurcation for a multiple group model for the dynamics of HIV/AIDS transmission,, Technical Report BU-1071-M, (1992). Google Scholar

[336]

S. Lubkin, S.-F. Hsu Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits,, Technical Report BU-1182-M, (1992). Google Scholar

[337]

Gail Rubin, David Umbach, Shwu-Fang Shyu and Carlos Castillo-Chavez, Using mark-recapture methodology to estimate the size of a population at risk for sexually transmitted diseases,, Technical Report BU-1112-MB, (1992). Google Scholar

[338]

S. P. Blythe and Carlos Castillo-Chavez, On the construction of arbitrary m-dimensional joint distributions,, Technical Report BU-1058-M, (1991). Google Scholar

[339]

Stephen P. Blythe and Carlos Castillo-Chavez, Is there a marriage function yet?,, Technical Report BU-1135-M, (1991). Google Scholar

[340]

Stephen P. Blythe, Carlos Castillo-Chavez, Jeffrey S. Palmer and Mingyan Cheng, Towards a unified theory of sexual mixing and pair formation,, Technical Report BU-1106-M, (1991). Google Scholar

[341]

Stavros Busenberg and Carlos Castillo-Chavez, A general solution of the problem of mixing of subpopulations, and its application to risk- and age- structured epidemic models for the spread of AIDS,, Technical Report BU-1063-MB, (1991). Google Scholar

[342]

Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior,, Technical Report BU-1050-M, (1991). Google Scholar

[343]

Carlos Castillo-Chavez and Stephen P. Blythe, A test-bed procedure for evaluating one-sex mixing frameworks,, Technical Report BU-1077-M, (1991). Google Scholar

[344]

Carlos Castillo-Chavez and Stavros Busenberg, On the solution of the two-sex mixing problem,, Technical Report BU-1092-M, (1991). Google Scholar

[345]

Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations,, Technical Report BU-1068-M, (1991). Google Scholar

[346]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Efficiency of self-control strategies on the spread of the insect vector of chagas disease,, Technical Report BU-1377-M, (1991). Google Scholar

[347]

Carlos M. Hernandez-Suarez and Carlos Castillo-Chavez, Efficiency of self-control strategies on the spread of the insect vector of chagas disease,, Technical Report BU-1416-M, (1991). Google Scholar

[348]

Xiaolong Luo, Carlos Castillo-Chavez and Mingyan Cheng, A probabilistic model of mixing and pair formation with applications to epidemiology,, Technical Report BU-1146-M, (1991). Google Scholar

[349]

Jeffrey S. Palmer, Steven P. Blythe and Carlos Castillo-Chavez, Two-group mixing processes and disease dynamics in single-sex populations,, Technical Report BU-1111-M, (1991). Google Scholar

[350]

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