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Qualitative study of a stochastic SIS epidemic model with vertical transmission

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  • Zhang, Xiao-Bing
  • Chang, Suqin
  • Shi, Qihong
  • Huo, Hai-Feng

Abstract

In this paper, we study a stochastic SIS epidemic model with vertical infection. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary probability measure of the model. In addition, we also establish sufficient conditions for extinction and persistence of the disease.

Suggested Citation

  • Zhang, Xiao-Bing & Chang, Suqin & Shi, Qihong & Huo, Hai-Feng, 2018. "Qualitative study of a stochastic SIS epidemic model with vertical transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 805-817.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:805-817
    DOI: 10.1016/j.physa.2018.04.022
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    References listed on IDEAS

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    Cited by:

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    2. Jin, Xihua & Jia, Jianwen, 2020. "Qualitative study of a stochastic SIRS epidemic model with information intervention," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).

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