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Threshold behavior in two types of stochastic three strains influenza virus models

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  • Liu, Qun
  • Jiang, Daqing
  • Hayat, Tasawar
  • Alsaedi, Ahmed
  • Ahmad, Bashir

Abstract

In this paper, we study two types of stochastic models consisting of three strains of influenza. For each type of the stochastic model, we establish sufficient conditions for extinction and persistence in the mean of these diseases by using the stochastic Lyapunov analysis method. Meanwhile, we obtain the threshold between persistence in the mean and extinction of the diseases.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437119322551
    DOI: 10.1016/j.physa.2019.124082
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    References listed on IDEAS

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    1. 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.
    2. Guo, Wenjuan & Cai, Yongli & Zhang, Qimin & Wang, Weiming, 2018. "Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2220-2236.
    3. Lee, Hyojung & Lee, Sunmi & Lee, Chang Hyeong, 2016. "Stochastic methods for epidemic models: An application to the 2009 H1N1 influenza outbreak in Korea," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 232-249.
    4. Cai, Yongli & Jiao, Jianjun & Gui, Zhanji & Liu, Yuting & Wang, Weiming, 2018. "Environmental variability in a stochastic epidemic model," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 210-226.
    5. Cai, Yongli & Kang, Yun & Wang, Weiming, 2017. "A stochastic SIRS epidemic model with nonlinear incidence rate," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 221-240.
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    Cited by:

    1. Liu, Yue, 2022. "Extinction, persistence and density function analysis of a stochastic two-strain disease model with drug resistance mutation," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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