Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 3, 2012
Epidemiology
|
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Page(s) | 49 - 61 | |
DOI | https://doi.org/10.1051/mmnp/20127305 | |
Published online | 06 June 2012 |
- R. Cattaneo, A. Schmid, D. Eschle, K. Baczko, V. T. Meulen, M. A. Billeter. Biased hypermutation and other genetic changes in defective measles viruses in human brain infections. Cell 55 (1988), 255-265. [CrossRef] [PubMed] [Google Scholar]
- W. F. Carman, A. R. Zannetti, P. Karayiannis, J. Waters, G. Manzillo, E. Tanzi, A. J. Zuckermann, H. C. Thomas. Vaccine-induced escape mutant of hepatitis B virus. Lancet 336 (1990), 325-329. [CrossRef] [PubMed] [Google Scholar]
- S. Sato, K. Suzuki, Y. Akahane, K. Akiyama, K. Yunomura, F. Tsuda, T. Tanaka, H. Okamoto, Y. Miyakawa, M. Mayumi. Hepatitis B virus strains with mutations in the core promoter in patients with fulminant hepatitis. Ann. Internal Medicine 122 (1995), 241-248. [Google Scholar]
- W. N. Chen, C. J. Oon. Hepatitis B virus surface antigen (HBsAg) mutants in Singapore adult and vaccinated children with high anti-hepatitis B virus antibody levels but negative for HBsAg. J. Clin. Microbiol. 38 (2000), 2793-2794. [PubMed] [Google Scholar]
- J. J. Eron, P. L. Vernazza, D. M. Johnston, F. Seillier-Moiseiwitsch, T. M. Alcorn, S. A. Fiscus, M. S. Cohen. Resistance of HIV-1 to antiretroviral agents in blood and seminal plasma : Implications for transmission. AIDS 15 (1998), 181-189. [CrossRef] [Google Scholar]
- G. D. Ebel, A. P. Dupuis, K. Ngo, D. Nicholas, E. Kauffman, S. A. Jones, D. Young, J. Maffei, P. Y. Shi, K. Bernard, L. D. Kramer. Partial genetic characterization of West Nile virus strains, New York State, 2000. Emerg. Infec. Dis. 7 (2000), 650-653. [Google Scholar]
- P. K. Cassiday, G. N. Sanden, K. Heuvelman, F. R. Mooi, K. M. Bisgard, T. Popovic. Polymorphism in Bordetella pertussis pertactin and pertussis toxin virulence factors in the United States. J. Infect. Dis. 182 (2000), 1402-1408. [CrossRef] [PubMed] [Google Scholar]
- C. Weber, C. Boursaux-Eude, G. Coralie, V. Caro, N. Guiso. Polymorphism of Bordetella pertussis isolates circulating for the last 10 years in France, where a single effective whole-cell vaccine has been used for more than 30 years. J. Clin. Microbiol. 12 (2001), 4396-4403. [CrossRef] [Google Scholar]
- S. Gupta, K. Trenholme, R. M. Anderson, K. P. Day. Antigenic diversity and the transmission dynamics of Plasmodium falciparum. Science 263 (1994), 961-963. [CrossRef] [PubMed] [Google Scholar]
- P. Palese, J. F. Young. Variation of influenza A, B, and C viruses. Science 215 (1982), 1486-1474. [CrossRef] [PubMed] [Google Scholar]
- R. G. Webster. Influenza : An emerging disease. Emerg. Infec. Dis. 4 (1998), 436-441. [CrossRef] [Google Scholar]
- J. Davies, E. Grilli, A. Smith. Influenza A : infection and reinfection. J. Hyg.(Cambridge) 92, 125-127. [Google Scholar]
- H. Larson, D. Tyrrell, C. Bowker, C. Potter, G. Schild. Immunity to challenge in volunteers vaccinated with an inactivated current or earlier strain of influenza A(H3N2). J. Hyg. (Cambridge) 80, 243-248. [Google Scholar]
- A. L. Frank, L. H. Taber, J. M. Wells. Individuals infected with two subtypes of influenza A virus in the same season. J. Infect. Dis. 147 (1983), 120-124. [CrossRef] [PubMed] [Google Scholar]
- T. Sonoguchi, H. Naito, M. Hara, Y. Takeuchi, H. Fukumi. Cross-subtype protection in humans during sequential, overlapping and/or concurrent epidemics caused by H3N2 and H1N1 influenza viruses. J. Infect. Dis. 151 (1985), 81-88. [CrossRef] [PubMed] [Google Scholar]
- C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin, W. M. Liu. Epidemiological models with age structure, proportionate mixing, and cross-immunity. J. Math. Biol. 27 (1989), 233-258. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- S. Gupta, M. C. J. Maiden, I. M. Feavers, S. Nee, R. M. May, R. M. Anderson. The maintenance of strain structure in populations of recombining infectious agents. Nat. Med. 2 (1996), 437-442. [CrossRef] [PubMed] [Google Scholar]
- V. Andreasen, J. Lin, S. A. Levin. The dynamics of cocirculating influenza strains conferring partial cross-immunity. J. Math. Biol. 35 (1997), 825-842. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- S. Gupta, N. Ferguson, R. M. Anderson. Chaos, persistence, and evolution of strain structure in antigenically diverse infectious agents. Science 280 (1998), 912-915. [CrossRef] [PubMed] [Google Scholar]
- J. Lin, V. Andreason, S. A. Levin. Dynamics of influenza A drift :the linear three-strain model. Math. Biosci. 162 (1999), 33-51. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- J. R. Gog, J. Swinton. A Status-based Approach to Multiple Strain Dynamics. J. Math. Biol. 44 (2002), 169-184. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- J. R. Gog, B. T. Grenfell. Dynamics and selection of many-strain pathogens. Proc. Natl. Acad. Sci. USA 99 (2002), 17209-17214. [CrossRef] [Google Scholar]
- M. Kamo, A. Sasaki. The Effect of Cross-immunity and Seasonal Forcing in a multi-strain epidemic model. Physica D 165 (2002), 228-241. [CrossRef] [Google Scholar]
- J. Lin, V. Andreasen, R. Casagrandi, S. A. Levin. Travelling waves in a model of influenza A drift. J. Theor. Biol. 222 (2003), 437-445. [Google Scholar]
- V. Andreasen, J. Lin, S. A. Levin. The dynamics of cocirculating influenza strains conferring partial cross-immunity. J. Math. Biol. 35 (1997), 825-842. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- M. F. Boni, J. R. Gog, V. Andreasen, F. B. Christiansen. Influenza drift and epidemic size : the race between generating and escaping immunity. Theor. Popul. Biol. 65 (2004), 179-191. [CrossRef] [PubMed] [Google Scholar]
- O. Restif, B. T. Grenfell. Integrating life history and cross-immunity into the evolutionary dynamics of pathogens. Proc. R. Soc. B 273 (2006), 409-416. [CrossRef] [Google Scholar]
- B. Adams, A. Sasaki. Cross-immunity, invasion and coexistence of pathogen strains in epidemiological models with one-dimensional antigenic space. Math. Biosci. 210 (2007), 680-699. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- P. Minayev, N. Ferguson. Improving the realism of deterministic multi-strain models : implications for modelling influenza A. J. R. Soc. Interface. 6 (2009), 509-518. [PubMed] [Google Scholar]
- C. Pease. An evolutionary epidemiological mechanism, with applications to type A influenza. Theor. Popul. Biol. 31 (1987), 422-452. [CrossRef] [PubMed] [Google Scholar]
- R. Casagrandi, L. Bolzoni, S. A. Levin, V. Andreasen. The SIRC model and influenza A. Math. Biosci. 200 (2006), 152-169. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- M. Nuno, Z. Feng, M. Martcheva, C. Castillo-Chavez. Dynamics of two-strain influenza with isolation and partial cross-immunity. SIAM J. Appl. Math. 65 (2005), 964-982. [CrossRef] [MathSciNet] [Google Scholar]
- M. Nuno, G. Chowell, X. Wang, C. Castillo-Chavez. On the role of cross-immunity and vaccines on the survival of less fit flu-strains. Theor. Popul. Biol. 71 (2007), 20-29. [CrossRef] [PubMed] [Google Scholar]
- M. J. Keeling, P. Rohani. Modeling Infectious Diseases in Humans and Animals. Princeton University Press, New Jersey, 2008. [Google Scholar]
- L. Edelstein-Keshet. Mathematical Models in Biology. Random House, New York, 1986 [Google Scholar]
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