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Dynamics of a Stochastic Multigroup SEIR Epidemic Model

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  • Xiaojing Zhong
  • Feiqi Deng

Abstract

To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model. If R0S 1, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.

Suggested Citation

  • Xiaojing Zhong & Feiqi Deng, 2014. "Dynamics of a Stochastic Multigroup SEIR Epidemic Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:258915
    DOI: 10.1155/2014/258915
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    References listed on IDEAS

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    1. Liu, Junli & Zhou, Yicang, 2009. "Global stability of an SIRS epidemic model with transport-related infection," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 145-158.
    2. Wen, Luosheng & Yang, Xiaofan, 2008. "Global stability of a delayed SIRS model with temporary immunity," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 221-226.
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