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2013, Volume 10, Issue 5&6: i-xxiv. Doi: 10.3934/mbe.2013.10.5i open access
This issue Previous Article From Rockstar Researcher to Selfless Mentor: A Daughter's Perspective Next Article Preface to Special Issue in Honor of Carlos Castillo-Chavez

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
Abstract / Introduction Related Papers Cited by
    Abstract
  • 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.

    For more information please click the “Full Text” above

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  • [1]

    Jose Manuel Vega-Guzman, "Solution Methods for Certain Evolution Equations," Co-Director with Sergei K. Suslov, Ph.D thesis, Arizona State University, Arizona, United States, 2013.

    [2]

    Paula A. Gonzalez Parra, "Constrained Optimal Control for a Multi-Group Discrete Time Influenza Model," Co-Director with Martine Ceberio, Ph.D thesis, The University of Texas at El Paso, Texas, United States, 2012.

    [3]

    Irina Kareva, "Niche Construction, Sustainability and Evolutionary Ecology of Cancer," Co-Director with John Nagy, Ph.D thesis, Arizona State University, Arizona, United States, 2012.

    [4]

    Benjamin Morin, "Computational and Analytical Mathematical Techniques for Modeling Heterogeneity," Co-Director with David Edward Hiebeler, Ph.D thesis, Arizona State University, Arizona, United States, 2012.

    [5]

    David Murillo, "Cities in Ecology: Settlement Patterns and Diseases," Co-Director with John Martin Anderies, Ph.D thesis, Arizona State University, Arizona, United States, 2012.

    [6]

    Griselle Torres Garcia, "Size Structured Epidemic Models," Co-Director with Zhilan Feng, Ph.D thesis, Arizona State University, Arizona, United States, 2012.

    [7]

    Ricardo J Cordero-Soto, "Solvable Time-Dependent Models in Quantum Mechanics," Co-Director with Sergei K. Suslov, Ph.D thesis, Arizona State University, Arizona, United States, 2011.

    [8]

    Edme L Soho, "Immune Response in the Study of Infectious Diseases (Co-Infection) in an Endemic Region," Co-Director with Stephen Allen Wirkus, Ph.D thesis, Arizona State University, Arizona, United States, 2011.

    [9]

    Alicia Urdapilleta, "Theoretical Studies on a Two Strain Model of Drug Resistance: Understand, Predict and Control the Emergence of Drug Resistance," Ph.D thesis, Arizona State University, Arizona, United States, 2011.

    [10]

    Ana Luz Vivas, "Dynamics of a "SAIQR" Influenza Model," Co-Director with Ernest Barany, Ph.D thesis, New Mexico State University, New Mexico, United States, 2011.

    [11]

    Edgar Diaz Herrera, "Diffusive Instability and Aggregation in Epidemics," Ph.D thesis, Arizona State University, Arizona, United States, 2010.

    [12]

    Angela R. Ortiz Nieves, "Modeling the Transmission of Vancomycin-Resistant Enterococcus in Hospitals: A Case Study," Co-Director with Harvey Thomas Banks, Ph.D thesis, Arizona State University, Arizona, United States, 2010.

    [13]

    Kevin Flores, "Multiscale Modeling of Cancer," Co-Director with Yang Kuang, Ph.D thesis, Arizona State University, Arizona, United States, 2009.

    [14]

    Carlos Alan Torre, "Deterministic and Stochastic Metapopulation Models for Dengue Fever," Co-Director with Priscilla Greenwood, Ph.D thesis, Arizona State University, Arizona, United States, 2009.

    [15]

    Anuj Mubayi, "The Role Of Environmental Context in the Dynamics and Control of Alcohol Use," Co-Director with Priscilla Greenwood, Ph.D thesis, Arizona State University, Arizona, United States, 2008.

    [16]

    Karen R. Rios-Soto, "Dispersal and Disease Dynamics in Populations with and without Demography," Ph.D thesis, Cornell University, New York, United States, 2008.

    [17]

    Karyn Sutton, "Theoretical Studies on Pneumococcal Vaccination," Ph.D thesis, Arizona State University, Arizona, United States, 2008.

    [18]

    Mustafa Erdem, "Epidemic in Structured Populations with Isolation and Cross-Immunity," Ph.D thesis, Arizona State University, Arizona, United States, 2007.

    [19]

    Fabio Sanchez, "Studies in Epidemiology and Social Dynamics," Ph.D thesis, Cornell University, New York, United States, 2007.

    [20]

    Eunha Shim, "Mathematical Models of Rotavirus Transmission in the Presence of Maternal Antibodies and Vaccination," Ph.D thesis, Arizona State University, Arizona, United States, 2007.

    [21]

    Ariel Cintron-Arias, "Modeling and Parameter Estimation of Contact Processes," Ph.D thesis, Cornell University, New York, United States, 2006.

    [22]

    Salgado De la Pava, "Models for Leishmaniasis," Co-Director with Jaime Montoya Lerma, Ph.D thesis, Universidad del Valle, Cali, Colombia, 2006.

    [23]

    Stephen Eric Tennenbaum, "A Two-Sex, Age-Structured Population Model in Discrete-Time," Ph.D thesis, Cornell University, New York, United States, 2006.

    [24]

    Gerardo Chowell-Puente, "Mathematical Models of Emergent and Re-Emergent Infectious Diseases: Assessing the Effects of Public Health Interventions on Disease Spread," Ph.D thesis, Cornell University, New York, United States, 2005.

    [25]

    Miriam Nuno, "Mathematical Models for the Dynamics of Influenza at the Population and Host Level," Ph.D thesis, Cornell University, New York, United States, 2005.

    [26]

    Baojun Song, "Dynamical Epidemic Models and their Applications," Ph.D thesis, Cornell University, New York, United States, 2002.

    [27]

    Carlos Moisés Hernández Suárez, "Problems in the Theory and Application of Models of Infectious Diseases," Co-Director with George Casella, Ph.D thesis, Cornell University, New York, United States, 1997.

    [28]

    Shu-Fang Hsu Schmitz, "Some Theories, Estimation Methods and Applications of Marriage Functions and Two-Sex Mixing Functions in Demography and Epidemiology," Ph.D thesis, Cornell University, New York, United States, 1994.

    [29]

    Patricia Hilda Himschoot, "A Population Dynamics Simulation Model of Rhodnius prolixus y Triatoma Infestans (Hemiptera, Reduviidae), Vectors of Chagas' Disease, and Transmission Dynamics of Trypanosoma cruzi. Behavior and Stability," Ph.D thesis, Universidad de Buenos Aires, Buenos Aires, Argentina, 1933.

    [30]

    Fred Brauer and Carlos Castillo-Chávez, eds., "Mathematical Models for Communicable Diseases," CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 84, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2013.

    [31]

    Fred Brauer and Carlos Castillo-Chávez, "Mathematical Models In Population Biology and Epidemiology," Second edition, Texts in Applied Mathematics, Vol. 40, Springer, New York, 2012.

    [32]

    Carlos Castillo-Chavez, Hsinchun Chen, William B. Lober, Mark Thurmond and Daniel Zeng, eds., "Infectious Disease Informatics and Biosurveillance," First edition, Integrated Series in Information Systems, Vol. 27, Springer, 2011.

    [33]

    Carlos Castillo-Chavez and Gerardo Chowell, eds., "Special Issue: Mathematical Models, Challenges, and Lessons Learned from the 2009 A/H1N1 Influenza Pandemic," Mathematical Biosciences and Engineering, Vol. 8, American Institute of Mathematical Sciences, 2011.

    [34]

    Carlos Castillo-Chávez, Christopher Kribs Zaleta, Yang Kuang and Baojun Song, eds., "A Special Issue on: A Tribute to the Mathematical Epidemiology Work of Fred Brauer and Karl Hadeler," Mathematical Biosciences and Engineering (MBE), Vol. 6, American Institute of Mathematical Sciences, 2009.

    [35]

    Dr. Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez, eds., "Mathematical and Statistical Estimation Approaches in Epidemiology," First edition, Springer, Netherlands, 2009.

    [36]

    Fred Brauer, Carlos Castillo-Chavez, Thomas G. Hallam, Jia Li, Jianhong Wu and Yicang Zhou, eds., "Volume in Honor of Ma Zhien, Mathematical Biosciences and Engineering," Mathematical Biosciences and Engineering (MBE), Vol. 3, American Institute of Mathematical Sciences, 2006.

    [37]

    Abba B. Gumel (Editor in Chief), Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence, eds., "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges," Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., 2006.

    [38]

    H. Thomas Banks and Carlos Castillo-Chávez, "Bioterror ism: Mathematical Modeling Applications in Homeland Security," Frontiers in Applied Mathematics, Vol. 28, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2003.

    [39]

    Carlos Castillo-Chavez, Sally Blower, Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, eds., "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory," The IMA Volumes in Mathematics and its Applications, Vol. 126, Springer, New York, 2002.

    [40]

    Carlos Castillo-Chavez, Sally Blower, Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, eds., "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction," The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, 2002.

    [41]

    Fred Brauer and Carlos Castillo-Chávez, "Mathematical Models in Population Biology and Epidemiology," First edition, Texts in Applied Mathematics, Vol. 40, Springer, New York, 2001.

    [42]

    Carlos Castillo-Chavez, ed., "Mathematical and Statistical Approaches to AIDS Epidemiology," Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, 1989.

    [43]

    Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker, eds., "Mathematical Approaches to Problems in Resource Management and Epidemiology," Lecture Notes in Biomathematics, Vol. 81, Springer-Verlag, Berlin-Heidelberg, 1989.

    [44]

    F. Brauer and C. Castillo-Chavez, Linear Algebra in Mathematical Population Biology and Epidemiology, to appear in second edition of "Handbook of Linear Algebra" (ed. Leslie Hogben), Discrete Mathematics and Its Applications, Chapman & Hall/CRC, November 2013.

    [45]

    C. Castillo-Chavez and S. Lee, in "Encyclopedia of Applied and Computational Mathematics" (eds. T. Engquist, Björn Chan, W. J. Cook, E. Hairer, J. Hastad, A. Iserles, H.P. Langtangen, C. Le Bris, P.L. Lions, C. Lubich, A.J. Majda, J. McLaughlin, R. M. Nieminen, J. ODEN, P. Souganidis and A. Tveito), Springer-Verlag, Berlin-Heidelberg, 2013.

    [46]

    Carlos Castillo-Chavez, Juan Pablo Aparicio and José Fern Gil, in "International Symposium on Mathematical and Computational Biology" (Santiago, Chile) (ed. Rubem P. Mondaini), BIOMAT 2011, World Scientific, (2013), 204-220.

    [47]

    C. Castillo-Garsow, C. Castillo-Chavez and S. Woodley, in "PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies," Taylor & Francis, 2013.

    [48]

    Nancy Hernandez-Ceron, Zhilan Feng and Carlos Castillo-Chavez, Discrete epidemic models with arbitrary stage distributions and applications to disease control, in "Bulletin of Mathematical Biology," Springer-Verlag, 2013.

    [49]

    Benjamin R. Morin, Eli P. Fenichel and Carlos Castillo-Chavez, SIR dynamics with economically driven contact rates, in "Natural Resource Modeling," Wiley, 2013.

    [50]

    Haiyan Wang and Carlos Castillo-Chavez, Spreading speeds and traveling waves for non-cooperative integro-difference systems, Discrete and Continuous Dynamical Systems - Series B, 17 (2012), 2243-2266.

    [51]

    C. Castillo-Chavez, Z. Feng and W. Huang, Global dynamics of a plant-herbivore model with toxin-determined functional response, SIAM Journal on Applied Mathematics, 72 (2012), 1002-1020.

    [52]

    C. Castillo-Chavez, F. Sanchez and D. Murillo, Change in host behavior and its impact on the transmission dynamics of dengue, in "International Symposium on Mathematical and Computational Biology" (Santiago, Chile) (ed. Rubem P. Mondaini), BIOMAT 2011, World Scientific Pub. Co., Inc., (2012), 191-203.

    [53]

    John Glasser, Zhilan Feng, Andrew Moylan, Sara Del Valle and Carlos Castillo-Chavez, Mixing in age-structured population models of infectious diseases, Mathematical Biosciences, 235 (2012), 1-7.

    [54]

    Yun Kang and Carlos Castillo-Chavez, Multiscale analysis of compartment models with dispersal, Journal of Biological Dynamics, 6 (2012), 50-79.

    [55]

    Irina Kareva, Faina Berezovskaya and Carlos Castillo-Chavez, Transitional regimes as early warning signals in resource dependent competition models, Mathematical Biosciences, 240 (2012), 114-123.

    [56]

    E. Shim, Z. Feng and C. Castillo-Chavez, Differential impact of sickle cell trait on symptomatic and asymptomatic malaria, Mathematical Biosciences and Engineering (MBE), 9 (2012), 877-898.

    [57]

    Hiroshi Nishiura, Gerardo Chowell and Carlos Castillo-Chavez, Did modeling overestimate the transmission potential of pandemic (H1N1-2009)? Sample size estimation for post-epidemic seroepidemiological studies, PLoS ONE, 6 (2011), e17908.

    [58]

    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), 129-152.

    [59]

    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 "International Symposium on Mathematical and Computational Biology" (Rio de Janeiro, Brazil) (ed. Rubem P Mondaini), BIOMAT 2010, World Scientific Pub. Co., Inc., (2011), 73-95.

    [60]

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

    [61]

    Eli P. Fenichel, Carlos Castillo-Chavez, M. G. Ceddia, Gerardo Chowell, Paula A. Gonzalez Parra, Graham J. Hickling, Garth Holloway, Richard Horan, Benjamin Morin, Charles Perrings, Michael Springborn, Leticia Velazquez and Cristina Villalobos, Adaptive human behavior in epidemiological models, Proceedings of the National Academy of Sciences, 108 (2011), 6306-6311.

    [62]

    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), 183-197.

    [63]

    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), 21-48.

    [64]

    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), Article ID 149341, 22 pp.

    [65]

    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), 171-182.

    [66]

    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), 749-758.

    [67]

    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), 71-100.

    [68]

    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), 141-170.

    [69]

    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), 199-222.

    [70]

    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), 258-265.

    [71]

    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), 809-823.

    [72]

    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), 1821-1839.

    [73]

    Fred Brauer, Zhilan Feng and Carlos Castillo-Chavez, Discrete epidemic models, Mathematical Biosciences and Engineering (MBE), 7 (2010), 1-15.

    [74]

    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), 27-43.

    [75]

    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), 17-40.

    [76]

    Paula A Gonzalez-Parra, Leticia Velazquez, Maria C. Villalobos and Carlos Castillo-Chavez, Optimal control applied to a discrete influenza model, in "Operations Research for Patient-centered Health Care Delivery: Proceedings of the XXXVI International ORAHS Conference: 18-23 July, 2010, Genova" (Angela Testi, Elena Tanfani, Enrico Ivaldi, Giuliana Carello, Roberto Aringhieri, and Vito Fragnelli, eds.), Economy - Ricerche, Franco Angeli, (2010), 14-27.

    [77]

    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), 136-150.

    [78]

    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), 456-477.

    [79]

    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), 35-40.

    [80]

    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), 177-185.

    [81]

    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), 45-56.

    [82]

    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), 687-717.

    [83]

    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).

    [84]

    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), 787-821.

    [85]

    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), 369-388.

    [86]

    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), BIOMAT 2009, World Scientific, (2010), 304-330.

    [87]

    Juan Pablo Aparicio and Carlos Castillo-Chavez, Mathematical modelling of tuberculosis epidemics, Mathematical Biosciences and Engineering (MBE), 6 (2009), 209-237.

    [88]

    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), 199-225.

    [89]

    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 "CHERI Conference: Doctoral Education and the Faculty of the Future" (eds. Ronald G. Ehrenberg and Charlotte V. Kuh), Cornell University Press, (2009), 135-145.

    [90]

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

    [91]

    Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez, Preface, in "Mathematical and Statistical Estimation Approaches in Epidemiology" (eds. Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez), Springer, (2009), v-vii.

    [92]

    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), 261-282.

    [93]

    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 "Mathematical and Statistical Estimation Approaches in Epidemiology" (eds. Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez), Springer, (2009), 343-360.

    [94]

    Irina Kareva, Faina Berezovskaya and Carlos Castillo-Chavez, Myeloid cells in tumour-immune interactions, Journal of Biological Dynamics, 4 (2009), 315-327.

    [95]

    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), 1-4.

    [96]

    M. Nuño, C. Castillo-Chavéz and M. Martcheva, Immune level approach for multiple strain pathogens, Journal of Biological Systems, 17 (2009), 713-737.

    [97]

    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 "Mathematical and Statistical Estimation Approaches in Epidemiology" (eds. Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez), Springer, (2009), 325-341.

    [98]

    Lih-Ing W. Roeger, Zhilan Feng and Carlos Castillo-Chavez, Modeling TB and HIV co-infections, Mathematical Biosciences and Engineering (MBE), 6 (2009), 815-837.

    [99]

    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, (eds. Gerardo Chowell, James M. Hyman, Luís M. A. Bettencourt and Carlos Castillo-Chavez), Springer, (2009), 303-323.

    [100]

    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), 176-195.

    [101]

    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), 495-518.

    [102]

    Carlos Castillo-Chavez, Zhilan Feng and Dashun Xu, A schistosomiasis model with mating structure and time delay, Mathematical Biosciences, 211 (2008), 333-341.

    [103]

    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), 713-727.

    [104]

    G. Chowell, C. A. Torre, C. Munayco-Escate, L. Suárez-Ognio, R. López-Cruz, J. M. Hyman and C. Castillo-Chavez, Spatial and temporal dynamics of dengue fever in Peru: 1994-2006, Epidemiology and Infection, 136 (2008), 1667-1677.

    [105]

    M. Nuño, C. Castillo-Chavez, Z. Feng and M. Martcheva, Mathematical models of influenza: The role of cross-immunity, quarantine and age-structure, in "Mathematical Epidemiology" (eds. Fred Brauer, Pauline Driessche and Jianhong Wu), Lecture Notes in Mathematics, Vol. 1945, Springer, Berlin-Heidelberg, (2008), 349-364.

    [106]

    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), 175-204.

    [107]

    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 "Intelligence and Security Informatics: Biosurveillance" (eds. Daniel Zeng, Ivan Gotham, Ken Komatsu, Cecil Lynch, Mark Thurmond, David Madigan, Bill Lober, James Kvach and Hsinchun Chen), Lecture Notes in Computer Science, Vol. 4506, Springer, Berlin-Heidelberg, (2007), 79-90.

    [108]

    C. Castillo-Chavez, C. W. Castillo-Garsow, G. Chowell, D. Murillo and M. Pshaenich, Promoting research and minority participation via undergraduate research in the mathematical sciences. MTBI/SUMS-Arizona State University, in "Proceedings of the Conference on Promoting Undergraduate Research in Mathematics" (ed. Joseph Gallian), American Mathematical Society, (2007), 15-22.

    [109]

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

    [110]

    G. Chowell, P. Diaz-Dueñas, J. C. Miller, A. Alcazar-Velazco, J. M. Hyman, P. W. Fenimore and C. Castillo-Chavez, Estimation of the reproduction number of dengue fever from spatial epidemic data, Mathematical Biosciences, 208 (2007), 571-589.

    [111]

    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), 26-35.

    [112]

    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), 20-29.

    [113]

    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 "Therapist's Guide to Evidence-Based Relapse Prevention" (eds. Katie A. Witkiewitz and G. Alan Marlatt), Academic Press, Burlington, (2007), 353-368.

    [114]

    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), 513-536.

    [115]

    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), i-ix.

    [116]

    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), 297-314.

    [117]

    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), 1840-1857.

    [118]

    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 "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. Gumel, Carlos Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 51-72.

    [119]

    Gerardo Chowell, Ariel Cintrón-Arias, Sara Del Valle, Fabio Sánchez, Baojun Song, James M. Hyman, Herbert W. Hethcote and Carlos Castillo-Chavez, Mathematical applications associated with the deliberate release of infectious agents, in "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. A. Gumel, C. Castillo-Chavez, D.P. Clemence and R.E. Mickens), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 51-72.

    [120]

    Zhilan Feng and Carlos Castillo-Chavez, The influence of infectious diseases on population genetics, Mathematical Biosciences and Engineering (MBE), 3 (2006), 467-483.

    [121]

    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 "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics Of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. Gumel, Carlos Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 297-310.

    [122]

    F. Sánchez, M. Engman, L. Harrington and C. Castillo-Chavez, Models for dengue transmission and control, in "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. Gumel, Carlos Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 311-326.

    [123]

    E. Shim, H. T. Banks and C. Castillo-Chavez, Seasonality of rotavirus infection with its vaccination, in "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. Gumel, Carlos Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 327-347.

    [124]

    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), 719-746.

    [125]

    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), 249-266.

    [126]

    S. Tennenbaum, T.G. Kassem, S. Roudenko, and C. Castillo-Chavez, The role of transactional sex in spreading HIV in Nigeria, in "Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges: AMS-IMS-SIAM Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, July 17-21, 2005, Snowbird, Utah" (eds. Abba B. Gumel, C. Castillo-Chávez, Ronald E. Mickens and Dominic P. Clemence), Contemporary Mathematics, Vol. 410, American Mathematical Society, Providence, R.I., (2006), 367-389.

    [127]

    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).

    [128]

    Faina Berezovsky, Georgy Karev, Baojun Song and Carlos Castillo-Chavez, A simple epidemic model with surprising dynamics, Mathematical Biosciences and Engineering (MBE), 2 (2005), 133-152.

    [129]

    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), 27-31.

    [130]

    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), 292-324.

    [131]

    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), 753-769.

    [132]

    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), 964-982.

    [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), 228-251.

    [134]

    Carlos Castillo-Chavez and Baojun Song, Dynamical models of tuberculosis and their applications, Mathematical Biosciences and Engineering (MBE), 1 (2004), 361-404.

    [135]

    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), 119-126.

    [136]

    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), 1258-1263.

    [137]

    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), 1713-1750.

    [138]

    H. T. Banks and Carlos Castillo-Chavez, eds., "Bioterrorism: Mathematical Modeling Applications in Homel and Security," Frontiers in Applied Mathematics, Vol. 28, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2003.

    [139]

    J. Best, C. Castillo-Chavez, and A. A. Yakubu, Hierarchical competition in discrete time models with dispersal, in "Dynamical Systems and their Applications in Biology" (eds. Shigui Ruan, Gail S. K Wolkowicz and Jianhong Wu), Vol. 36, American Mathematical Society, Providence, R.I., (2003), 59.

    [140]

    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), 2876-2877.

    [141]

    Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis, in "Summer School on Mathematical Biology" (eds. A. Margheri, C. Rebelo and F. Zanolin), Vol. 20, Centro Internacional de Matemática: CIM, 2003, (Modified and minimally exp and ed: Dynamical Models of Tuberculosis and Applications, Journal of Mathematical Biosciences and Engineering, 1 (2004), 361-404), with permission of CIM where it was published for summer school participants), 13-62.

    [142]

    Carlos Castillo-Chavez and Baojun Song, Models for the transmission dynamics of fanatic behaviors, in "Bioterrorism: Mathematical Modeling Applications in Homeland Security" (eds. H. T. Banks and Carlos Castillo-Chavez), Frontiers in Applied Mathematics, Vol. 28, Society for Industrial and Applied Mathematics, Philadelphia, PA, (2003), 155-172.

    [143]

    Carlos Castillo-Chavez, Baojun Song and Juan Zhang, An epidemic model with virtual mass transportation: The case of smallpox in a large city, in "Bioterrorism: Mathematical Modeling Applications in Homeland Security" (eds. H. T. Banks and Carlos Castillo-Chavez), Frontiers in Applied Mathematics, Vol. 28, Society for Industrial and Applied Mathematics, Philadelphia, PA, (2003), 173-197.

    [144]

    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), 1-8.

    [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), 066102.

    [146]

    Gerardo Chowell and Carlos Castillo-Chavez, Worst-case scenarios and epidemics, in "Bioterrorism: Mathematical Modeling Applications in Homeland Security" (eds. H. T. Banks and Carlos Castillo-Chavez), Frontiers in Applied Mathematics, Vol. 28, Society for Industrial and Applied Mathematics, Philadelphia, PA, (2003), 35-53.

    [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), 547-568.

    [148]

    Maia Martcheva and Carlos Castillo-Chavez, Diseases with chronic stage in a population with varying size, Mathematical Biosciences, 182 (2003), 1-25.

    [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), 1519-1527.

    [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), 307-311.

    [151]

    J. P. Aparicio, A. Capurro and C. Castillo-Chavez, Frequency dependent risk of infection and the spread of infectious diseases, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 341-350.

    [152]

    J. P. Aparicio, A. Capurro and C. Castillo-Chavez, On the long-term dynamics and re-emergence of tuberculosis, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 351-360.

    [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), 227-237.

    [154]

    C. Castillo-Chavez, Z. Feng and W. Huang, On the computation $\mathcalR_{0}$ and its role on global stability, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 229-250.

    [155]

    C. Castillo-Chavez, A.-A. Yakubu, H. Thieme and M. Martcheva, Nonlinear mating models for populations with discrete generations, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 251-268.

    [156]

    Carlos Castillo-Chavez and Wenzhang Huang, Age-structured core group model and its impact on STD dynamics, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 126, Springer, New York, (2002), 261-273.

    [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, DIMACS Center, (2002).

    [158]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with simple and complex dynamics, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 153-163.

    [159]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Intra-specific competition and dispersal and disease dynamics in discrete-time patchy environments, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 165-181.

    [160]

    K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 125, Springer-Verlag, Berlin-Heidelberg-New York, (2002), 129-151.

    [161]

    Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of tuberculosis models with density dependent demography, in "Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory" (eds. Carlos Castillo-Chavez, Sally Blower, Pauline Driessche, Denise Kirschner and Abdul-Aziz Yakubu), The IMA Volumes in Mathematics and its Applications, Vol. 126, Springer, New York, (2002), 275-294.

    [162]

    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), 187-205.

    [163]

    Abdul-Aziz Yakubu and Carlos Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models, Journal of Theoretical Biology, 218 (2002), 273-288.

    [164]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Epidemics on attractors, in "Council for African American Researchers in the Mathematical Sciences: Volume IV" (eds. Gaston M. N'Guérékata and Asamoah Nkwanta), Contemporary Mathematics, Vol. 284, American Mathematical Society, Providence, Rhode Island, (2001), 23-42.

    [165]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Dispersal, disease and life-history evolution, Mathematical Biosciences, 173 (2001), 35-53.

    [166]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time S-I-S models with complex dynamics, Nonlinear Analysis: Theory, Methods & Applications (Proceedings of the Third World Congress of Nonlinear Analysts), 47 (2001), 4753-4762.

    [167]

    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), 425-452.

    [168]

    Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Transmission and dynamics of tuberculosis on generalized households, Journal of Theoretical Biology, 206 (2000), 327-341.

    [169]

    Zhilan Feng, Carlos Castillo-Chavez and Angel F. Capurro, A model for tuberculosis with exogenous reinfection, Theoretical Population Biology, 57 (2000), 235-247.

    [170]

    Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, Urn models and vaccine efficacy estimation, Statistics in Medicine, 19 (2000), 827-835.

    [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), 83-91.

    [172]

    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), 27-29.

    [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), 1790-1811.

    [174]

    Carlos M. Hernández-Suárez and Carlos Castillo-Chavez, A basic result on the integral for birth-death Markov processes, Mathematical Biosciences, 161 (1999), 95-104.

    [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), 307-317.

    [176]

    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).

    [177]

    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, Serie Comunicaciones, (1998), 209-225.

    [178]

    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 "International Conference on Aids: The Scientific and Social Challenge; Montreal, Quebec, Canada, June 4-9" (International Development Research Centre: Ottawa, Ontario, Canada) (ed. R. A. Morisset), Abstracts Publications, Section A, A.605, (1990), 178.

    [179]

    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), 135-154.

    [180]

    Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between evolution of virulence and host demography, Journal of Theoretical Biology, 192 (1998), 437-444.

    [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), 227-248.

    [182]

    C. Castillo-Chavez and Z. Feng, Mathematical models for the disease dynamics of tuberculosis, in "Advances in Mathematical Population Dynamics - Molecules, Cells, and Man: Proceedings of 4th International Conference on Mathematical Population Dynamics, Rice University, Houston, Texas, USA, 23-27 May 1995" (Singapore) (eds. Ovide Arino, David E. Axelrod, and Marek Kimmel), Mathematical Biology and Medicine, Vol. 6, World Scientific Publishing Company, Incorporated, January (1997), 629-656.

    [183]

    F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease model, in "Computational Medicine, Public Health and Biotechnology - Building a Man in the Machine: Proceedings of the First World Congress" (Austin, TX) (eds. Matthew Witten and Diana J. Vincent), World Scientific Series in Mathematical Biology and Medicine, Vol. 5, World Scientific Publishing Company, (1997), 1438-1457.

    [184]

    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 "Advances in Mathematical Population Dynamics - Molecules, Cells, and Man: Proceedings of 4th International Conference on Mathematical Population Dynamics, Rice University, Houston, Texas, USA, 23-27 May 1995" (eds. O. Arino, D. Axelrod and M. Kimmel), Mathematical Biology and Medicine, Vol. 6, World Scientific Publishing Company, Incorporated, (1997), 477-486.

    [185]

    A. Capurro, F. Brauer, C. Castillo-Chavez and M. Zellner, Conceptos básicos en la epidemiología teórica, in "Proceedings Eight International Congress in Biomatemáticas" (eds. R. Howe, J. M. Nole, S. Vergara, J. R. Fernandez and C. F. Ho), (1997), 35-51.

    [186]

    A. Capurro, C. Castillo-Chavez, Z. Feng and M. Zellner, Modelos para la dinámica de transmisión de la tuberculosis, in "Proceedings Eight International Congress in Biomatemáticas" (eds. R. Howe, J. M. Nole, S. Vergara, J. R. Fernandez and C. F. Ho), (1997), 13-34.

    [187]

    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), 503-522.

    [188]

    Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis, Journal of Mathematical Biology, 35 (1997), 629-656.

    [189]

    Carlos Castillo-Chavez and Shu-FangHsu Schmitz, The evolution of age-structured marriage functions: It takes two to tango, in "Structured-Population Models in Marine, Terrestrial, and Freshwater Systems" (eds. Shripad Tuljapurkar and Hal Caswell), Population and Community Biology Series, Vol. 18, Springer, (1997), 533-553.

    [190]

    F. Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models, in "Advances in Mathematical Modeling of Biological Processes" (ed. Denise Kirschner), Vol. 3, International Journal of Applied Science and Computation, Ithaca, N.Y, (1996), 35-51.

    [191]

    C. Castillo-Chavez, Competitive exclusion in gonorrhea models and other sexually transmitted diseases, SIAM Journal on Applied Mathematics, 56 (1996), 494-508.

    [192]

    C. Castillo-Chavez, W. Huang and J. Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models, in "Differential Equations and Applications to Biology and to Industry: Proceedings of the June 1-4, 1994 Claremont International Conference Dedicated to the Memory of Stavros Busenberg" (1941-1993) (Singapore) (eds. Stavros N. Busenberg and M. Martelli), Claremont International Conference Dedicated to the Memory of Stavros Busenberg (1941-1993), World Scientific, (1996), 289-298.

    [193]

    Carlos Castillo-Chavez, Samuel Fridman and Xiaolong Luo, Stochastic and deterministic models in epidemiology, in "World Congress of Nonlinear Analysts '92" (ed. V. Lakshmikantham) (Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992), Walter de Gruyter & Co., Berlin, Boston, (1996), 3211-3225.

    [194]

    Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions, Journal of Mathematical Biology, 34 (1996), 413-441.

    [195]

    S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits, in "World Congress of Nonlinear Analysts '92" (ed. V. Lakshmikantham) (Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992), Walter de Gruyter & Co., Berlin, Boston, (1996), 3227-3234.

    [196]

    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), 175-192.

    [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 "World Congress of Nonlinear Analysts '92" (ed. V. Lakshmikantham) (Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992), Walter de Gruyter & Co., Berlin, Boston, (1996), 3175-3186.

    [198]

    Stephen Blythe, Stavros Busenberg and Carlos Castillo-Chavez, Affinity in paired event probability, Mathematical Biosciences, 128 (1995), 265-284.

    [199]

    Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology, in "Ecological Time Series" (eds. Thomas M. Powell and John H. Steele), Springer, (1995), 410-447.

    [200]

    C. Castillo-Chavez, Dedication: Advances in mathematical modeling of biological processes, in "International Journal of Applied Science and Computation" (ed. Denise Kirschner), Vol. 3, 1995.

    [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).

    [202]

    C. Castillo-Chavez and H. Thieme, Asymptotically autonomous epidemic models, in "Mathematical Population Dynamics: Analysis of Heterogeneity" (eds. O. Arino, D. E. Axelrod and M. Kimmel) (Proceedings of the Third International Conference on Mathematical Population Dynamics, held in Pau, France on June 1-5, 1992-Pref.), Theory of Epidemics, Vol. 1, Wuerz, Winnipeg, (1995), 33-50.

    [203]

    Carlos Castillo-Chavez, Kenneth L. Cooke and Horst R. Thieme, Remembering Stavros Busenberg, Mathematical Biosciences, 128 (1995), 3-11.

    [204]

    Carlos Castillo-Chavez and Wenzhang Huang, The logistic equation revisited: The two-sex case, Mathematical Biosciences, 128 (1995), 299-316.

    [205]

    K. P. Hadeler and C. Castillo-Chavez, A core group model for disease transmission, Mathematical Biosciences, 128 (1995), 41-55.

    [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 "Modeling the AIDS Epidemic: Planning, Policy, and Prediction" (eds. Edward Harris Kaplan and Margaret L. Brandeau), Raven Press, New York, NY, (1994), 533-560.

    [207]

    Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology, in "Frontiers in Mathematical Biology" (ed. Simon A. Levin), Lecture Notes in Biomathematics, Vol. 100, Springer Berlin Heidelberg, (1994), 454-491.

    [208]

    X. Luo and C. Castillo-Chavez, Limit behavior of pair-formation for a large dissolution rate, Journal of Mathematical Systems, Estimation, and Control, 3 (1993), 247-264.

    [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), 1447-1479.

    [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 "AIDS Epidemiology" (eds. Nicholas P. Jewell, Klaus Dietz and Vernon T. Farewell), Birkhäuser, Boston, (1992), 384-402.

    [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), 835-854.

    [212]

    S. Lubkin, S. F. H. Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits, in "Mathematical Population Dynamics: Analysis of Heterogeneity: Theory of Epidemics" (eds. Ovide Arino, David E. Axelrod and Marek Kimmel), Mathematical Biology, Vol. 1, Wuerz Publishing, (1992), 745-754.

    [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), 1533-1549.

    [214]

    Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks, in "World Congress of Nonlinear Analysts '92" (ed. V. Lakshmikantham) (Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992), Walter de Gruyter {&} Co., Berlin, Boston, (1992), 3163-3174.

    [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), 379-405.

    [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), 1-29.

    [217]

    C. Castillo-Chavez and S. Busenberg, On the solution of the two-sex mixing problem, in "Differential Equations Models in Biology, Epidemiology and Ecology" (eds. Stavros Busenberg and Mario Martelli), Lecture Notes in Biomathematics, Vol. 92, Springer, Berlin-Heidelberg, (1991), 80-98.

    [218]

    Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations, in "Differential Equations with Applications in Biology, Physics, and Engineering" (eds. Jerome A. Goldstein, F. Kappel and Wilhelm Schappacher), Lecture Notes in Pure and Applied Mathematics, Vol. 133, M. Dekker, New York, (1991), 47-65.

    [219]

    Kenneth L. Cooke, Donald A. Allers and Carlos Castillo-Chavez, Mixing patterns in models of AIDS, in "Mathematical Population Dynamics: Proceedings of the Second International" (eds. Ovide Arino, David E. Axelrod and Marek Kimme), Lecture Notes in Pure and Applied Mathematics, Vol. 131, Marcel Dekker Incorporated, Rutgers University, New Brunswick, New Yersey, (1991), 297-309.

    [220]

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

    [221]

    Lisa Sattenspiel and Carlos Castillo-Chavez, Environmental context, social interactions, and the spread of HIV, American Journal of Human Biology, 2 (1990), 397-417.

    [222]

    Fred Adler, Lincoln Smith and Carlos Castillo-Chavez, A distributed-delay model for the local population dynamics of a parasitoid-host system, in "Mathematical Approaches to Problems in Resource Management and Epidemiology" (eds. Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker), Lecture Notes in Biomathematics, Vol. 81, Springer Berlin Heidelberg, (1989), 152-162.

    [223]

    S. Blythe and C Castillo-Chavez, Sexual mixing models with like-with-like preference, in "International Conference on Aids: The Scientific and Social Challenge; Montreal, Quebec, Canada, June 4-9" (International Development Research Centre: Ottawa, Ontario, Canada) (ed. R. A. Morisset), Abstracts Publications, Section A, A.522, (1989), 164.

    [224]

    Stephen P. Blythe and Carlos Castillo-Chavez, Like-with-like preference and sexual mixing models, Mathematical Biosciences, 96 (1989), 221-238.

    [225]

    Stavros Busenberg and Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. Carlos Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, (1989), 289-300.

    [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), 6.

    [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), 373-398.

    [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), 327-331.

    [229]

    C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modeling of epidemics, in "High Performance Computing: Proceedings of the International Symposium on High Performance Computing Montpellier, France, 22-24 March, 1989" (eds. Jean-Lo:ic Delhaye and Erol Gelenbe), North-Holland, New York, Distributors for the U.S. and Canada, Elsevier Science Pub. Co., (1989), 389-409.

    [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), 233-258.

    [231]

    Carlos Castillo-Chavez, Review of recent models of HIV/AIDS transmission, in "Applied Mathematical Ecology" (eds. Simon A. Levin, Thomas G. Hallam and Louis J. Gross), Biomathematics, Vol. 18, Springer, Berlin-Heidelberg, (1989), 253-262.

    [232]

    Carlos Castillo-Chavez, Some applications of structured models in population dynamics, in "Applied Mathematical Ecology" (eds. Simon A. Levin, Thomas G. Hallam and Louis J. Gross), Biomathematics, Vol. 18, Springer, Berlin-Heidelberg, (1989), 450-470.

    [233]

    Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. Carlos Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, (1989), 275-288.

    [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 "Mathematical Approaches to Problems in Resource Management and Epidemiology" (eds. Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker), Lecture Notes in Biomathematics, Vol. 81, Springer, Berlin-Heidelberg, (1989), 177-189.

    [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 "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. Carlos Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, (1989), 200-217.

    [236]

    Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker, in "Mathematical Approaches to Problems in Resource Management and Epidemiology" (eds. Carlos Castillo-Chavez, Simon A. Levin and Christine A. Shoemaker), Lecture Notes in Biomathematics, Vol. 81, Springer, Berlin-Heidelberg, (1989), V-VII.

    [237]

    Simon A. Levin, Kirk Moloney, Linda Buttel and Carlos Castillo-Chavez, Dynamical models of ecosystems and epidemics, Future Generation Computer Systems, 5 (1989), 265-274.

    [238]

    Steven J. Schwager, Carlos Castillo-Chavez and Herbert Hethcote, Statistical and mathematical approaches in HIV/AIDS modeling: A review, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. Carlos Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, (1989), 2-35.

    [239]

    Horst R. Thieme and Carlos Castillo-Chavez, On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. Carlos Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin-Heidelberg, (1989), 157-176.

    [240]

    C. Castillo-Chavez, Mathematical models for the spread of HIV/AIDS(Mtg. Review), Mathematical Biology Society Newsletter, 3 (1988), 4-5.

    [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 "Mathematical Ecology: Proceedings of the Autumn Course Research Seminars, International Centre for Theoretical Physics, Miramare-Trieste, Italy, November 24-December 12, 1986" (eds. T. G. Hallam, L. G. Gross and S. A. Levin), World Scientific Publishing Company Incorporated, (1988), 303-316.

    [242]

    C. Castillo-Chavez, S. A. Levin and F. Gould, Physiological and behavioral adaptation to varying environments: A mathematical model, Evolution, 42 (1988), 986-994.

    [243]

    S. A. Levin and C. Castillo-Chavez, Topics in evolutionary biology, in "Mathematical and Statistical Developments of Evolutionary Theory: Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures on Mathematical and Statistical Developments of Evolutionary Theory, Montréal, Canada, August 3-21, 1987" (Dordrecht, Boston, London) (eds. S. Lessard and North Atlantic Treaty Organization. Scientific Affairs Division), NATO ASI Series: Mathematical and Physical Sciences, Kluwer Academic Publishers, (1988), 327-358.

    [244]

    C. Castillo-Chavez, Linear character-dependent models with constant time delay in population dynamics, Mathematical Modelling, 9 (1987), 821-836.

    [245]

    C. Castillo-Chavez, D. Grünbaum and S. A. Levin, Designing computer models of the spread of HIV (Human Immunodeficiency Virus), (Newsletter, Center for Theory and Simulation in Science and Engineering. Cornell University, Ithaca, NY), Forefronts, 3 (1987), 3-6.

    [246]

    Carlos Castillo-Chavez, Nonlinear character dependent models with constant time delay in population dynamics, Journal of Mathematical Analysis and Applications, 128 (1987), 1-29.

    [247]

    C. Castillo-Chavez, An abstract theorem in linear and nonlinear deterministic character-dependent models with time delay in population dynamics, in "Integral Methods in Science and Engineering: Proceedings of a Conference held at the University of Texas at Arlington, March 18-21, 1985" (Washington, D. C.) (eds. F. R. Payne, C. C. Corduneanu, A. Haji-Sheikh and Tseng Huang), Hemisphere Publishing Corp., (1986), 620-631.

    [248]

    C. Castillo-Chavez and D. S. Levine, Mini-symposium in population dynamics, in "Integral Methods in Science and Engineering: Proceedings of a Conference held at the University of Texas at Arlington, March 18-21, 1985" (Washington, D. C.) (eds. F. R. Payne, C. C. Corduneanu, A. Haji-Sheikh and Tseng Huang), Hemisphere Publishing Corporation, (1986), 644.

    [249]

    C. Castillo-Chavez, Some old and new discrete and continuous models in population dynamics, in "Proceedings of the Conference on Applied Mathematics" (Central State University, Edmond, OK) (ed. Glenda K. Owen), College of Mathematics and Science, Central State University, (1985), 81-100.

    [250]

    C. Castillo-Chavez, Modelos deterministas del tipo MacKendrick-Von Foerster en la teoría dinámica de poblaciones, Ciencia, 36 (1985), 105-116.

    [251]

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

    [252]

    Sunhwa Choi, Eunok Jung and Carlos Castillo-Chávez, Optimal treatment strategies for tuberculosis with exogenous reinfection, Technical Report MTBI-07-04M, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2010.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2010.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2010.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2007.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2006.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2005.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2005.

    [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, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2005.

    [260]

    Haiyun Zhao, Zhilan Feng and Carlos Castillo-Chávez, The dynamics of poverty and crime, Technical Report MTBI-02-08M, Technical report of the Mathematical and Theoretical Biology Institute, Arizona State University, Tempe, AZ, 2005.

    [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, Cornell University, Ithaca, NY, 2005.

    [262]

    G. Chowell and C. Castillo-Chavez, Worst-case scenarios and epidemics, Technical Report BU-1629-M, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2003.

    [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, Cornell University, Ithaca, NY, 2002.

    [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, Cornell University, Ithaca, NY, 2002.

    [270]

    Carlos Castillo-Chavez and Baojun Song, An overview of dynamical models of tuberculosis, Technical Report BU-1607-M, Cornell University, Ithaca, NY, 2002.

    [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, Cornell University, Ithaca, NY, 2002.

    [272]

    Baojun Song, Carlos Castillo-Chavez and Juan P. Aparicio, Global dynamics of TB models with density dependent demography, Technical Report BU-1552-M, Cornell University, Ithaca, NY, 2002.

    [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, Cornell University, Ithaca, NY, April 2001.

    [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, Cornell University, Ithaca, NY, 2001.

    [275]

    Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Dispersal, disease and life history evolution, Technical Report BU-1538-M, Cornell University, Ithaca, NY, 2001.

    [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, Cornell University, Ithaca, NY, 2001.

    [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, Cornell University, Ithaca, NY, 2001.

    [278]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete time S-I-S models with complex dynamics, Technical Report BU-1479-M, Cornell University, Ithaca, NY, 2001.

    [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, Cornell University, Ithaca, NY, 2001.

    [280]

    Baojun Song and Carlos Castillo-Chavez, Tuberculosis control in the US: A strategy to meet CDC's goal, Technical Report BU-1561-M, Cornell University, Ithaca, NY, 2001.

    [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, Cornell University, Ithaca, NY, August 2000.

    [282]

    Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, Markers of disease evolution: The case of tuberculosis, Technical Report BU-1534-M, Cornell University, Ithaca, NY, 2000.

    [283]

    Juan P. Aparicio, Angel F. Capurro and Carlos Castillo-Chavez, On the fall and rise of tuberculosis, Technical Report BU-1477-M, Cornell University, Ithaca, NY, 2000.

    [284]

    Carlos Castillo-Chavez and Abdul-Aziz Yakabu, Epidemic models on attractors, Technical Report BU-1540-M, Cornell University, Ithaca, NY, 2000.

    [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, Cornell University, Ithaca, NY, 2000.

    [286]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Nonlinear mating models for populations with non-overlapping generations, Technical Report BU-1497-M, Cornell University, Ithaca, NY, 2000.

    [287]

    Carlos Castillo-Chavez and Abdul-Aziz Yakubu, Discrete-time nonlinear pair formation models with geometric solutions , Technical Report BU-1496-M, Cornell University, Ithaca, NY, 2000.

    [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, Cornell University, Ithaca, NY, 2000.

    [289]

    Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, A note on pair-formation functions, Technical Report BU-1405-M, Cornell University, Ithaca, NY, 2000.

    [290]

    K. R. Heiderich, W. Huang and C. Castillo-Chavez, Nonlocal response in a simple epidemiological model, Technical Report BU-1245-M, Cornell University, Ithaca, NY, 1999.

    [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, Cornell University, Ithaca, NY, 1999.

    [292]

    Wenzhang Huang and Carlos Castillo-Chavez, Age-structured core group model and its impact on STD dynamics, Technical Report BU-1554-M, Cornell University, Ithaca, NY, 1999.

    [293]

    Carlos Castillo-Chavez, Studies in theoretical biology: A collection of undergraduate research, Technical Report BU-1419-M, Cornell University, Ithaca, NY, 1998.

    [294]

    Carlos Castillo-Chavez and Zhilan Feng, Mathematical models for the disease dynamics of tuberculosis, Technical Report BU-1321-M, Cornell University, Ithaca, NY, 1998.

    [295]

    Carlos Castillo-Chavez and Carlos Castillo-Garsow, President's initiative on race: Briefing paper, Technical Report BU-1404-M, Cornell University, Ithaca, NY, 1997.

    [296]

    Carlos Castillo-Chavez and Zhilan Feng, To treat or not to treat: The case of tuberculosis, Technical Report BU-1288-M, Cornell University, Ithaca, NY, 1997.

    [297]

    Carlos Castillo-Chavez, Zhilan Feng and Angel F. Capurro, A distributed delay model for tuberculosis, Technical Report BU-1389-M, Cornell University, Ithaca, NY, 1997.

    [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, Cornell University, Ithaca, NY, 1997.

    [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, Cornell University, Ithaca, NY, 1997.

    [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, Cornell University, Ithaca, NY, 1997.

    [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, Cornell University, Ithaca, NY, 1997.

    [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, Cornell University, Ithaca, NY, 1996.

    [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, Cornell University, Ithaca, NY, 1996.

    [304]

    Carlos Castillo-Chavez, Studies in theoretical biology: A collectionof undergraduate research, Technical Report BU-1370-M, Cornell University, Ithaca, NY, 1996.

    [305]

    Carlos Castillo-Chavez and Zhilan Feng, Optimal vaccination strategies for tb in age-structure populations, Technical Report BU-1323-M, Cornell University, Ithaca, NY, 1996.

    [306]

    Carlos Castillo-Chavez, Samuel Fridman and Xiaolong Luo, Stochastic and deterministic models in epidemiology, Technical Report BU-1192-M, Cornell University, Ithaca, NY, 1996.

    [307]

    Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, On the existence of stable pairing distributions, Technical Report BU-1242-M, Cornell University, Ithaca, NY, 1996.

    [308]

    Carlos Castillo-Chavez, Wenzhang Huang and Jia Li, Competitive exclusion in gonorrhea models and other sexually-transmitted diseases, Technical Report BU-1217-M, Cornell University, Ithaca, NY, 1996.

    [309]

    Carlos Castillo-Chavez and Jorge X. Velasco-Hernandez, On the relationship between tight coevolution and superinfection, Technical Report BU-1328-M, Cornell University, Ithaca, NY, 1996.

    [310]

    Carlos Castillo-Chavez and Wenxiong Xu, A TB model with infection-age-dependent infectivity, Technical Report BU-1358-M, Cornell University, Ithaca, NY, 1996.

    [311]

    Shu-Fang Hsu Schmitz and Carlos Castillo-Chavez, Completion of mixing matrices for non-closed social networks, Technical Report BU-1183-M, Cornell University, Ithaca, NY, 1996.

    [312]

    S. Lubkin and C. Castillo-Chavez, A pair formation approach to modeling inheritance of social traits, Technical Report BU-1190-M, Cornell University, Ithaca, NY, 1996.

    [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, Cornell University, Ithaca, NY, 1996.

    [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, Cornell University, Ithaca, NY, 1996.

    [315]

    S. P. Blythe, S. Busenberg and C. Castillo-Chavez, Affinity in paired-event probability, Technical Report BU-1084-M, Cornell University, Ithaca, NY, 1995.

    [316]

    Carlos Castillo-Chavez, Kenneth Cooke and Horst Thieme, Remembering Stavros Busenberg, Technical Report BU-1240-M, Cornell University, Ithaca, NY, 1995.

    [317]

    Carlos Castillo-Chavez and Wenzhang Huang, Logistic equation revisited: The two-sex case, Technical Report BU-1244-M, Cornell University, Ithaca, NY, 1995.

    [318]

    Carlos Castillo-Chavez and Jia Li, Dynamics of multiple pathogen strains in heterosexual epidemiological models, Technical Report BU-1306-M, Cornell University, Ithaca, NY, 1995.

    [319]

    K. P. Hadeler and Carlos Castillo-Chavez, A core group model for disease transmission, Technical Report BU-1250-M, Cornell University, Ithaca, NY, 1995.

    [320]

    Fred Brauer and Carlos Castillo-Chavez, Basic models in epidemiology, Technical Report BU-1249-M, Cornell University, Ithaca, NY, 1994.

    [321]

    Carlos Castillo-Chavez, Jorge X. Velasco-Hernandez and Samuel Fridman, Modeling contact structures in biology, Technical Report BU-1191-M, Cornell University, Ithaca, NY, 1994.

    [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, Cornell University, Ithaca, NY, 1994.

    [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, Cornell University, Ithaca, NY, 1993.

    [324]

    Fred Brauer, C. Castillo-Chavez and J. X. Velasco-Hernandez, Recruitment effects in heterosexually transmitted disease models, Technical Report BU-1218-M, Cornell University, Ithaca, NY, 1993.

    [325]

    Fred Brauer and Carlos Castillo-Chavez, Studies in theoretical epidemiology, Technical Report BU-1188-M, Cornell University, Ithaca, NY, 1993.

    [326]

    Angel F. Capurro, Carlos Castillo-Chavez and Samuel Fridman, Models of animals in their home range, Technical Report BU-1219-M, Cornell University, Ithaca, NY, 1993.

    [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, Cornell University, Ithaca, NY, 1993.

    [328]

    Carlos Castillo-Chavez and Horst Thieme, Asymptotically autonomous epidemic models, Technical Report BU-1248-M, Cornell University, Ithaca, NY, 1993.

    [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, Cornell University, Ithaca, NY, 1993.

    [330]

    Xiaolong Luo and Carlos Castillo-Chavez, Limit behavior of pair formation for a large dissolution rate, Technical Report BU-1172-M, Cornell University, Ithaca, NY, 1993.

    [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, Cornell University, Ithaca, NY, 1993.

    [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, Cornell University, Ithaca, NY, 1992.

    [333]

    F. Brauer, S. P. Blythe and C. Castillo-Chavez, Demographic recruitment in sexually transmitted disease models, Technical Report BU-1154-M, Cornell University, Ithaca, NY, 1992.

    [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, Cornell University, Ithaca, NY, 1992.

    [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, Cornell University, Ithaca, NY, 1992.

    [336]

    S. Lubkin, S.-F. Hsu Schmitz and C. Castillo-Chavez, A framework for modeling inheritance of social traits, Technical Report BU-1182-M, Cornell University, Ithaca, NY, 1992.

    [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, Cornell University, Ithaca, NY, 1992.

    [338]

    S. P. Blythe and Carlos Castillo-Chavez, On the construction of arbitrary m-dimensional joint distributions, Technical Report BU-1058-M, Cornell University, Ithaca, NY, 1991.

    [339]

    Stephen P. Blythe and Carlos Castillo-Chavez, Is there a marriage function yet?, Technical Report BU-1135-M, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [342]

    Carlos Castillo-Chavez and Stephen P. Blythe, Mixing framework for social/sexual behavior, Technical Report BU-1050-M, Cornell University, Ithaca, NY, 1991.

    [343]

    Carlos Castillo-Chavez and Stephen P. Blythe, A test-bed procedure for evaluating one-sex mixing frameworks, Technical Report BU-1077-M, Cornell University, Ithaca, NY, 1991.

    [344]

    Carlos Castillo-Chavez and Stavros Busenberg, On the solution of the two-sex mixing problem, Technical Report BU-1092-M, Cornell University, Ithaca, NY, 1991.

    [345]

    Carlos Castillo-Chavez, Stavros Busenberg and Ken Gerow, Pair formation in structured populations, Technical Report BU-1068-M, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [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, Cornell University, Ithaca, NY, 1991.

    [350]

    Jeffrey S. Palmer, Carlos Castillo-Chavez and Steven P. Blythe, State-dependent mixing and sexually transmitted disease dynamics, Technical Report BU-1122-M, Cornell University, Ithaca, NY, 1991.

    [351]

    Jorge X. Velasco-Hernandez and Carlos Castillo-Chavez, Food web structure and frequency dependent predation, Technical Report BU-1142-MA, Cornell University, Ithaca, NY, 1991.

    [352]

    Stephen P. Blythe and Carlos Castillo-Chavez, Scaling laws in human sexual activity, Technical Report BU-1064-M, Cornell University, Ithaca, NY, 1990.

    [353]

    Stephen P. Blythe and Carlos Castillo-Chavez, The one-sex mixing problem: A choice of solutions?, Technical Report BU-1075-M, Cornell University, Ithaca, NY, 1990.

    [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, Cornell University, Ithaca, NY, 1990.

    [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, Cornell University, Ithaca, NY, 1990.

    [356]

    Simon A. Levin and Carlos Castillo-Chavez, Topics in evolutionary ecology, Technical Report BU-984-MA, Cornell University, Ithaca, NY, 1990.

    [357]

    Lisa Sattenspiel and Carlos Castillo-Chavez, Environmental context, social interactions, and the spread of HIV, Technical Report BU-1076-M, Cornell University, Ithaca, NY, 1990.

    [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, Cornell University, Ithaca, NY, 1990.

    [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, Cornell University, Ithaca, NY, 1989.

    [360]

    Stephen P. Blythe and Carlos Castillo-Chavez, Like-with-like preference and sexual mixing models, Technical Report BU-982-M, Cornell University, Ithaca, NY, 1989.

    [361]

    Stavros Busenberg and Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases, Technical Report BU-1030-M, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [363]

    C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modelling of epidemics, Technical Report BU-1014-M, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [367]

    S. A. Levin, Kirk Moloney, Linda Buttel and Carlos Castillo-Chavez, Dynamical models of ecosystems and epidemics, Technical Report BU-1015-M, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1989.

    [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, Cornell University, Ithaca, NY, 1988.

    [371]

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

    [372]

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

    [373]

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

    [374]

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

    [375]

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

    [376]

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

    [377]

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

    [378]

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

    [379]

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

    [380]

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

    [381]

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

    [382]

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

    [383]

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

    [384]

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

    [385]

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

    [386]

    C. Castillo-Chavez, Oxford meeting review, Mathematical Biology Society Newsletter, 4 (1990), 6-7.

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