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The threshold of a stochastic avian–human influenza epidemic model with psychological effect

Author

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  • Zhang, Fengrong
  • Zhang, Xinhong

Abstract

In this paper, a stochastic avian–human influenza epidemic model with psychological effect in human population and saturation effect within avian population is investigated. This model describes the transmission of avian influenza among avian population and human population in random environments. For stochastic avian-only system, persistence in the mean and extinction of the infected avian population are studied. For the avian–human influenza epidemic system, sufficient conditions for the existence of an ergodic stationary distribution are obtained. Furthermore, a threshold of this stochastic model which determines the outcome of the disease is obtained. Finally, numerical simulations are given to support the theoretical results.

Suggested Citation

  • Zhang, Fengrong & Zhang, Xinhong, 2018. "The threshold of a stochastic avian–human influenza epidemic model with psychological effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 485-495.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:485-495
    DOI: 10.1016/j.physa.2017.10.043
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    Cited by:

    1. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed & Ahmad, Bashir, 2020. "Threshold behavior in two types of stochastic three strains influenza virus models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

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