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Stability and Persistence of an Avian Influenza Epidemic Model with Impacts of Climate Change

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  • Xiao-Yan Zhao
  • Shu-Min Guo
  • Mini Ghosh
  • Xue-Zhi Li

Abstract

The growing number of reported avian influenza cases has prompted awareness of the importance of research methods to control the spread of the disease. Seasonal variation is one of the important factors that affect the spread of avian influenza. This paper presents a “nonautonomous” model to analyze the transmission dynamics of avian influenza with the effects of climate change. We obtain and discuss the global stability conditions of the disease-free equilibrium; the threshold conditions for persistence, permanence, and extinction of the disease; and the parameters with periodicity for controlling and eliminating the avian influenza.

Suggested Citation

  • Xiao-Yan Zhao & Shu-Min Guo & Mini Ghosh & Xue-Zhi Li, 2016. "Stability and Persistence of an Avian Influenza Epidemic Model with Impacts of Climate Change," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-16, June.
    • Handle: RePEc:hin:jnddns:7871251
    DOI: 10.1155/2016/7871251
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