Dynamics of low and high pathogenic avian influenza in wild and domestic bird populations

References

• F.B. Agusto and A.B. Gumel, Qualitative dynamics of lowly and highly-pathogenic avian influenza strains, Math. Biosci. 243 (2013), pp. 147–162. doi: 10.1016/j.mbs.2013.02.001
   Google Scholar
• L. Bourouiba, A. Teslya, and J. Wu, Highly pathogenic avian influenza outbreak mitigated by seasonal low pathogenic strains: Insights from dynamic modeling, JTB 271 (2011), pp. 181–201. doi: 10.1016/j.jtbi.2010.11.013
   Google Scholar
• C. Castillo-Chavez, H. Hethcote, V. Andreasen, S. Levin, and W.M. Liu, Epidemiological models with age structure, proportionate mixing and cross-immunity, J. Math. Biol. 27 (1989), pp. 159–165.
   Google Scholar
• C. Castillo-Chavez, H. Hethcote, V. Andreasen, S. Levin, and W.M. Liu, Cross-immunity in the dynamics of homogeneous and heterogeneous populations, Mathematical Ecology (Trieste, 1986), World Sci. Publishing, Teaneck, NJ, 1988, pp. 303–316.
   Google Scholar
• J.J. Dennehy, N. A. Friedenberg, R. C. McBride, R. D. Holt, and P. E. Turner, Experimental evidence that source genetic variation drives pathogen emergence, Proc. R. Soc. Lond. Ser. B 277(1697) (2010), pp. 3113–3121. doi: 10.1098/rspb.2010.0342
   Google Scholar
• P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002), pp. 29–48. doi: 10.1016/S0025-5564(02)00108-6
   Google Scholar
• A. Dobson, Population dynamics of pathogens with multiple host species, Amer. Natural. 164 (2004), pp. 564–576. doi: 10.1086/424681
   Google Scholar
• E. O'Neill, J.M. Riberdy, R.G. Webster, and D.L. Woodland, Heterologous protection against lethal A/Hong Kong/156/97 (H5N1) influenza virus infection in C57BL/6 mice, J. Gen. Virol. 81 (2000), pp. 2689–2696. doi: 10.1099/0022-1317-81-11-2689
   Google Scholar
• R.D. Holt and A.P. Dobson, Extending the principles of community ecology to address the epidemiology of host-pathogen systems, in Ecology of Emerging Infectious Diseases, S.K. Collinge and C. Ray, eds., OUP, Oxford, 2005, pp. 6–27.
   Google Scholar
• M.J. Keeling and P. Rohani, Modeling Infectious Diseases in Humans and in Animals, Princeton University Press, Princeton, 2008.
   Google Scholar
• T. Kuiken, Is low pathogenic avian influenza virus virulent for wild waterbirds? Proc. Biol. Sci. 280(1763) (2013), 20130990. doi: 10.1098/rspb.2013.0990. doi: 10.1098/rspb.2013.0990
   Google Scholar
• N. Latorre-Margalef, C. Tolf, V. Grosbois, A. Avril, D. Bengtsson, M. Wille, A. D. M. E. Osterhaus, R. A. M. Fouchier, B. Olsen, and J. Waldenstrom, Long-term variation in influenza A virus prevalence and subtype diversity in migratory mallards in northern Europe, Proc. R. Soc. B 281 (2014), pp. 20140098. doi: 10.1098/rspb.2014.0098
   Google Scholar
• J. Lucchetti, M. Roy, and M. Martcheva, An avian influenza model and its fit to human avian influenza cases, in Advances in Disease Epidemiology, J.M.Tchuenche and Z. Mukandavire, eds., Nova Science Publishers, New York, NY, 2009, pp. 1–30.
   Google Scholar
• M. Martcheva, Avian influenza: Modeling and implications for control, Math. Mod. Nat. Phenom. (to appear).
   Google Scholar
• P.S. Pandit, D.A. Bunn, S.A. Pande, and S.S. Aly, Modeling highly pathogenic avian influenza transmission in wild birds and poultry in West Bengal, India, Sci. Rep. 3 (2013), article number 2175, pp. 1–8. doi: 10.1038/srep02175
   Google Scholar
• K.M. Pepin, E. Spackman, J.D. Brown, K.L. Pabilonia, L.P. Garber, J.T. Weaver, D.A. Kennedy, K.A. Patyk, K.P. Huyvaert, R.S. Miller, A.B. Franklin, K. Pedersen, T.L. Bogich, P. Rohani, S.A. Shriner, C.T. Webb, and S. Riley, Using quantitative disease dynamics as a tool for guiding response to avian influenza in poultry in the United States of America, Prevent. Veterinary Med. 113 (2014), pp. 376–397. doi: 10.1016/j.prevetmed.2013.11.011
   Google Scholar
• I. Scones and P. Forster, Unpacking the International Response to Avian Influenza: Actors, Networks and Narratives, in Avian Influenza: Science, Policy and Politics, I. Scoones, ed., EarthScan, London, 2010, pp. 19–64.
   Google Scholar
• S.H. Seo and R.G. Webster, Cross-reactive, cell-mediated immunity and protection of chickens from lethal H5N1 influenza virus infection in Hong Kong poultry markets, J. Virol. 75 (2001), pp. 2516–2525. doi: 10.1128/JVI.75.6.2516-2525.2001
   Google Scholar
• E. Spackman, A brief introduction to the avian influenza virus, in Avian Influenza Virus, E. Spackman, ed., Humana Press, Totowa, NJ, 2008, pp. 1–6.
   Google Scholar
• D.L. Suarez, Influenza A Virus, in Avian Influenza, D.E. Swayne, ed., Blackwell Publishing, Ames, IA, 2008, pp. 3–17.
   Google Scholar
• J. Takekawa, D. Prosser, B. Collins, D. Douglas, W. Perry, B. Yan, L. Ze, Y. Hou, F. Lei, T. Li, Y. Li, and S. Newman, Movements of wild Ruddy Shelducks in the Central Asian Flyway and their spatial relationship to outbreaks of highly pathogenic avian influenza H5N1, Viruses 5 (2013), pp. 2129–2152. doi: 10.3390/v5092129
   Google Scholar
• N. Tuncer, J. Torres, and M. Martcheva, Dynamics of low and high pathogenic avian influenza in wild bird population, in Dynamical Systems: Theory, Applications and Future Directions, J. Thuenche, ed., Nova Publishers, New York, 2013, pp. 235–259.
   Google Scholar
• N. Tuncer, J. Torres, and M. Martcheva, Dynamics of low and high pathogenic avian influenza in birds, Biomath. Commun. 1(1) (2014), pp. 5–11.
   Google Scholar
• N. Tuncer and M. Martcheva, Modeling seasonality in avian influenza H5N1, J. Biol. Syst. 21(4) (2013), pp. 1450009. doi: 10.1142/S0218339013400044
   Google Scholar
• USDA, Animal and Plant Health Inspection Service. Available at http://www.aphis.usda.gov/wps/portal/aphis/ourfocus/animalhealth/sa_animal_disease_information/sa_avian_health/ct_avian_influenza_disease/.
   Google Scholar
• R.G. Webster, W.J. Bean, O.T. Gorman, T.M. Chambers, and Y. Kawaoka, Evolution and ecology of influenza A viruses, Microbiol. Rev. 56(1) (1992), pp. 152–179.
   Google Scholar