Citation: |
[1] |
R. Acuña-Soto, "Historical and Epidemiological Patterns of Influenza in México," In "Workshop: Mitigating the Spread of A/H1N1 Flu: Lessons Learned from Past Outbreaks," Arizona State University, 2009. |
[2] |
R. Acuna-Soto, Death records from historical archives: A valuable source of epidemiological information, Mathematical and Statistical Estimation Approaches in Epidemiology, (2009), 189-194. |
[3] |
F. S. Albright, P. Orlando, A. T. Pavia, G. G. Jackson and L. A. C. Albright, Evidence for a heritable predisposition to death due to influenza, The Journal of Infectious Diseases, 197 (2008), 18-24.doi: 10.1086/524064. |
[4] |
L. K. Altman, "Many Swine Flu Cases Have no Fever," New York Times, 2009. URL http://www.nytimes.com/2009/05/13/health/13fever.html. |
[5] |
V. Andreasen, J. Lin and S. A. Levin, The dynamics of co-circulating influenza strains conferring partial cross-immunity, Journal of Mathematical Biology, 35 (1997), 825-842. URL http://www.ams.org/mathscinet-getitem?mr=99a:92013. |
[6] |
L. A. Angelova, Long-term immunity to influenza A (H1N1) in humans, In Annales de l'Institut Pasteur. Virologie, Elsevier, 133 (1982), 267-272. |
[7] |
J. Arino and P. van den Driessche, A multi-city epidemic model, Mathematical Population Studies, 10 (2003), 175-193.doi: 10.1080/08898480306720. |
[8] |
J. Arino, F. Brauer, P. van den Driessche, J. Watmough and J. Wu, A model for influenza with vaccination and antiviral treatment, Journal of Theoretical Biology, 253 (2008), 118-130.doi: 10.1016/j.jtbi.2008.02.026. |
[9] |
O. V. Baroyan and L. A. Rvachev, Deterministic models of epidemics for a territory with a transport network, Cybernetics and Systems Analysis, 3 (1967), 55-61.doi: 10.1007/BF01120008. |
[10] |
S. Bertozzi, A. Kelso, M. Tashiro, V. Savy, J. Farrar, M. Osterholm, S. Jameel and C. P. Muller, Pandemic flu: From the front lines. Interviewed by Declan Butler, Nature, 461 (2009), 20. |
[11] |
F. Brauer, Compartmental models in epidemiology, Mathematical Epidemiology, (2008), 19-79. URL http://www.ams.org/mathscinet-getitem?mr=2428372. |
[12] |
F. Brauer and C. Castillo-Chavez, "Mathematical Models in Population Biology and Epidemiology," Springer Verlag, 2001. |
[13] |
F. Brauer and C. Kribs-Zaleta, "An Introduction to Dynamical Systems for Biological Modeling" (series: chapman & hall/crc mathematical & computational biology), 2010. |
[14] |
R. M. Bush, C. A. Bender, K. Subbarao, N. J. Cox and W. M. Fitch, Predicting the evolution of human influenza A, Science, 286 (1999), 1921.doi: 10.1126/science.286.5446.1921. |
[15] |
P. Caley, D. J. Philp and K. McCracken, Quantifying social distancing arising from pandemic influenza, Journal of The Royal Society Interface, 5 (2008), 631.doi: 10.1098/rsif.2007.1197. |
[16] |
C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. Liu, "Cross-Immunity in the Dynamics of Homogeneous and Heterogeneous Populations," Mathematical Ecology, World Scientific, Singapore, page 303, 1988. |
[17] |
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, URL http://www.ams.org/mathscinet-getitem?mr=90g:92056. |
[18] |
C. Castillo-Chavez, B. Song and J. Zhang, An epidemic model with virtual mass transportation: the case of smallpox in a large city, Bioterrorism: Mathematical Modeling Applications in Homeland Security, page 173, 2003. URL http://www.ams.org/mathscinet-getitem?mr=2036546. |
[19] |
M. Chan, "Influenza A(H1N1)," Technical report, WHO, 2009. URL http://www.who.int/mediacentre/news/statements/2009/h1n1\_20090429/en/index.html. |
[20] |
G. Chowell, S. M. Bertozzi, M. A. Colchero, H. Lopez-Gatell, C. Alpuche-Aranda, M. Hernandez and M. A. Miller, Severe respiratory disease concurrent with the circulation of H1N1 influenza, The New England Journal of Medicine, 361 (2009), 674.doi: 10.1056/NEJMoa0904023. |
[21] |
G. Chowell, C. Viboud, X. Wang, S. M. Bertozzi and M. A. Miller, Adaptive vaccination strategies to mitigate pandemic influenza: Mexico as a case study, 2009. |
[22] |
G. Chowell, C. Viboud, L. Simonsen, M. A. Miller and R. Acuna-Soto, Mortality patterns associated with the 1918 influenza pandemic in Mexico: Evidence for a spring herald wave and lack of preexistingiImmunity in older populations, The Journal of Infectious Diseases, 2010. |
[23] |
V. Colizza, A. Barrat, M. Barthelemy, A. Valleron and A. Vespignani, Modeling the worldwide spread of pandemic influenza: Baseline case and containment interventions, PLoS Medicine, 4 (2007), 95.doi: 10.1371/journal.pmed.0040013. |
[24] |
J. A. Córdova-Villalobos, Lessons learned and preparing for the future: Influenza a/h1n1 in méxico, Plenary 1, Encuentro Actualización Eninfluenza A (H1N1): "Lecciones Aprendidas y Preparándonos para el Futuro," Cancún, México, 2009. |
[25] |
R. B. Couch and J. A. Kasel, Immunity to influenza in man, Annual Reviews in Microbiology, 37 (1983), 529-549.doi: 10.1146/annurev.mi.37.100183.002525. |
[26] |
G. Del Giudice, K. J. Stittelaar, G. van Amerongen, J. Simon, A. D. M. E. Osterhaus, K. Stöhr and R. Rappuoli, Seasonal influenza vaccine provides priming for A/H1N1 immunization, Science Translational Medicine, 1 (2009), 12re1. |
[27] |
Instituto Mexicano del Transporte, North american transportation statistics database, 2006-. URL http://nats.sct.gob.mx/nats/sys/index.jsp?i=3. |
[28] |
M. Falco, Cdc: Production of h1n1 flu lagging, 2009. URL http://www.cnn.com/2009/HEALTH/10/16/h1n1.vaccine.delay/index.html#cnnS TCText. |
[29] |
Z. Feng, W. Huang and C. Castillo-Chavez, On the role of variable latent periods in mathematical models for tuberculosis, Journal of Dynamics and Differential Equations, 13 (2001), 425-452. |
[30] |
A. Flahault, X. De Lamballerie and T. Hanslik, Symptomatic infections less frequent with H1N1pdm than with seasonal strains, 2009. |
[31] |
T. Garske, J. Legrand, C. A. Donnelly, H. Ward, S. Cauchemez, C. Fraser, N. M. Ferguson and A. C. Ghani, Assessing the severity of the novel influenza A/H1N1 pandemic, British Medical Journal, 339 (2009), b2840. |
[32] |
Mexico City guide, "Transport," 2010. URL http://www.mexicocity-guide.com/transport.htm. |
[33] |
M. Haber, I. R. A. M. Longini JR and M. E. Halloran, Measures of the effects of vaccination in a randomly mixing population, International Journal of Epidemiology, 20 (1991), 300.doi: 10.1093/ije/20.1.300. |
[34] |
K. Hadeler and C. Castillo-Chavez, A core group model for disease transmission, Mathematical Biosciences, 128 (1995), 41-55.doi: 10.1016/0025-5564(94)00066-9. |
[35] |
M. E. Halloran, M. Haber, I. M. Longini Jr and C. J. Struchiner, Direct and indirect effects in vaccine efficacy and effectiveness, American Journal of Epidemiology, 133 (1991), 323. |
[36] |
W. Huang, K. L. Cooke and C. Castillo-Chavez, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission, SIAM Journal on Applied Mathematics, 835-854, 1992. |
[37] |
J. Hunter, D. Dale and M. Droettboom, "Matplotlib: A Python 2d Plotting Library," 2008-. URL http://matplotlib.sourceforge.net/. |
[38] |
A. C. Hurt, J. Ernest, Y. M. Deng, P. Iannello, T. G. Besselaar, C. Birch, P. Buchy, M. Chittaganpitch, S. C. Chiu, D. Dwyer, et al., "Emergence and spread of oseltamivir-resistant A (H1N1) influenza viruses in Oceania, South East Asia and South Africa," Antiviral Research, 2009. |
[39] |
E. S. Hurwitz, M. Haber, A. Chang, T. Shope, S. Teo, M. Ginsberg, N. Waecker and N. J. Cox, Effectiveness of influenza vaccination of day care children in reducing influenza-related morbidity among household contacts, The Journal of the American Medical Association, 284 (2000), 1677. |
[40] |
J. M. Hyman and T. Laforce, Modeling the spread of in fluecnza among cities, Biomathematical Modeling Applications for Homeland Security, Philadephia: Society for Industrial and Applied Mathematics, 215-240, 2003. |
[41] |
E. Jones, T. Oliphant, P. Peterson, et al., "SciPy: Open Source Scientific Tools for Python," 2001-. URL http://www.scipy.org/. |
[42] |
W. O. Kermack and A. G. McKendrick, Contributions to the mathematical theory of epidemics-I, Proceedings of the Royal Society, 115A (1927), 700-721 (Reprinted in Bulletin of Mathematical Biology, 53 (1991), 33-55). |
[43] |
K. Khan, J. Arino, W. Hu, P. Raposo, J. Sears, F. Calderon, C. Heidebrecht, M. Macdonald, J. Liauw, A. Chan, et al., Spread of a novel influenza A (H1N1) virus via global airline transportation, The New England Journal of Medicine, 361 (2009), 212.doi: 10.1056/NEJMc0904559. |
[44] |
C. D. Kozul, K. H. Ely, R. I. Enelow and J. W. Hamilton, Low-dose arsenic compromises the immune response to influenza a infection in vivo, Environ Health Perspect. PubMed, 117 (2009), 1441-1447. |
[45] |
R. J. Kurukulaaratchy, S. Matthews and S. H. Arshad, Does environment mediate earlier onset of the persistent childhood asthma phenotype?, Pediatrics, 113 (2004), 345.doi: 10.1542/peds.113.2.345. |
[46] |
P. R. S. Lagacé-Wiens, E. Rubinstein and A. Gumel, "Influenza Epidemiology: Past, Present, and Future," Critical Care Medicine, 2010. |
[47] |
M. A. Lezana-Fernández, "A/h1n1 Epidemic in México: Lessons Learned," Talk at "Mitigating the Spread of A/H1N1 Flu: Lessons Learned from Past Outbreaks Workshop," Arizona State University, 2009. |
[48] |
F. Libenson, "Llegaron al Edomex 66 mil Vacunas Contra AH1N1," 2009. http://elinformantemexico.com/index.php/noticias/llegaron-al-edomex-66-mil-v acunas-contra-ah1n1-franklin-libenson-violante.html. |
[49] |
H. C. Lin, M. J. Chen, S. J. Chang, M. T. Liu, H. S. Wu, J. H. Chuang, J. H. Chou, H. S. Kuo and S. C. Chang, Investigation of the first two cases of oseltamivir-resistant pandemic (H1N1) 2009 virus in Taiwan, Taiwan Epidemiology Bulletin, (2009), 815-828. |
[50] |
M. López-Cervantes, A. Venado, A. Moreno, R. L. Pacheco-Domínguez and G. Ortega-Pierres, On the spread of the novel influenza A (H1N1) virus in Mexico, The Journal of Infection in Developing Countries, 3 (2009), 327. |
[51] |
Mexicocity.com.mx, "Taxi Cabs," 2010. URL http://www.mexicocity.com.mx/taxis2.html. |
[52] |
M. A. Miller, C. Viboud, M. Balinska and L. Simonsen, The signature features of influenza pandemics-implications for policy, The New England Journal of Medicine, 360 (2009), 2595. |
[53] |
A. S. Monto, Interrupting the transmission of respiratory tract infections: Theory and practice, Clinical Infectious Diseases, 28 (1999), 200-204. |
[54] |
A. Moscona, Global transmission of oseltamivir-resistant influenza, The New England Journal of Medicine, 2009. |
[55] |
M. R. Moser, T. R. Bender, H. S. Margolis, G. R. Noble, A. P. Kendal and D. G. Ritter, An outbreak of influenza aboard a commercial airliner, American Journal of Epidemiology, 110 (1979), 1. |
[56] |
M. I. Nelson and E. C. Holmes, The evolution of epidemic influenza, Nature Reviews Genetics, 8 (2007), 196-205. |
[57] |
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 Surveill, 14 (2009), 19227. |
[58] |
SSA Notimex, "Este Lunes Llegan las Vacunas Contra Influenza AH1N1," Notimex, 2009. URL http://www2.esmas.com/noticierostelevisa/mexico/nacional/116742/este-lu nes-llegan-vacunas-contra-influenza-ah1n1. |
[59] |
M. Nuno, G. Chowell and A. B. Gumel, Assessing the role of basic control measures, antivirals and vaccine in curtailing pandemic influenza: Scenarios for the US, UK and the Netherlands, Journal of the Royal Society Interface, 4 (2007), 505.doi: 10.1098/rsif.2006.0186. |
[60] |
M. Nuno, 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.doi: 10.1016/j.tpb.2006.07.002. |
[61] |
A. Pedroza, J. G. Huerta, M. de la Luz Garcia, A. Rojas, I. López-Martínez, M. Penagos, C. Franco-Paredes, C. Deroche and C. Mascareñas, The safety and immunogenicity of influenza vaccine in children with asthma in Mexico, International Journal of Infectious Diseases, 13 (2009), 469-475.doi: 10.1016/j.ijid.2008.08.015. |
[62] |
J. B. Plotkin, J. Dushoff and S. A. Levin, Hemagglutinin sequence clusters and the antigenic evolution of influenza A virus, Proceedings of the National Academy of Sciences, 99 (2002), 6263.doi: 10.1073/pnas.082110799. |
[63] |
L. A. Rvachev and I. M. Jr. Longini, A mathematical model for the global spread of influenza, Mathematical Biosciences, 75 (1985), 3-22. URL http://www.ams.org/mathscinet-getitem?mr=800965. |
[64] |
A. N. Slepushkin, E. I. Bourtseva, A. L. Belyaev, L. N. Vlassova and E. L. Feodoritova, Influenza morbidity and some peculiarities of antiinfluenza immunity and prevention during influenza pandemics, In International Congress Series, Elsevier, 1263 (2004), 787-790. |
[65] |
E. Spackman, D. E. Stallknecht, R. D. Slemons, K. Winker, D. L. Suarez, M. Scott and D. E. Swayne, Phylogenetic analyses of type A influenza genes in natural reservoir species in North America reveals genetic variation, Virus Research, 114 (2005), 89-100.doi: 10.1016/j.virusres.2005.05.013. |
[66] |
SSA, "Situación Actual de la Epidemia [Current Epidemic Situation]," January 2010. URL http://portal.salud.gob.mx/contenidos/noticias/influenza/estadisticas.html. |
[67] |
C. Sun and Y. H. Hsieh, Global analysis of an SEIR model with varying population size and vaccination, Applied Mathematical Modelling, 2009. |
[68] |
R. A. Trammell and L. A. Toth, Genetic susceptibility and resistance to influenza infection and disease in humans and mice, Expert Review of Molecular Diagnostics, 8 (2008), 515-529.doi: 10.1586/14737159.8.4.515. |
[69] |
B. Valadez, "Aplicadas, Solo 10/100 de las Dosis Contra el A/H1N1," 2010. URL http://www.milenio.com/node/368812. |
[70] |
C. Viboud, P. Y. Boélle, S. Cauchemez, A. Lavenu, A. J. Valleron, A. Flahault and F. Carrat, Risk factors of influenza transmission in households, In International Congress Series, Elsevier, 1263 (2004), 291-294. |
[71] |
C. Viboud, O. N. Bjornstad, D. L. Smith, L. Simonsen, M. A. Miller and B. T. Grenfell, Synchrony, waves, and spatial hierarchies in the spread of influenza, Science, 312 (2006), 447.doi: 10.1126/science.1125237. |
[72] |
D. Weycker, J. Edelsberg, M. Elizabeth Halloran, I. M. Longini, et al., Population-wide benefits of routine vaccination of children against influenza, Vaccine, 23 (2005), 1284-1293.doi: 10.1016/j.vaccine.2004.08.044. |
[73] |
T. White, S. Lavoie and M. D. Nettleman, Potential cost savings attributable to influenza vaccination of school-aged children, Pediatrics, 103 (1999), e73.doi: 10.1542/peds.103.6.e73. |
[74] |
Wikipedia, "World Population 1800-2100," 2010-. URL http://en.wikipedia.org/wiki/File:World-Population-1800-2100.png. |