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Qualitative study of a stochastic SIRS epidemic model with information intervention

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  • Jin, Xihua
  • Jia, Jianwen

Abstract

In this paper, we consider a stochastic SIRS epidemic model with information intervention. First of all, the existence and uniqueness of the global positive solution are obtained. Then, we derive sufficient conditions for the extinction and persistence of the disease. Moreover, by establishing appropriate Lyapunov function, the existence of a stationary distribution is discussed. Some numerical simulations are given to illustrate our analytical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s037843711932148x
    DOI: 10.1016/j.physa.2019.123866
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    References listed on IDEAS

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    1. Ruichao Li & Xiurong Guo, 2024. "Dynamics of a Stochastic SEIR Epidemic Model with Vertical Transmission and Standard Incidence," Mathematics, MDPI, vol. 12(3), pages 1-17, January.
    2. Xuan Leng & Asad Khan & Anwarud Din, 2023. "Probability Analysis of a Stochastic Non-Autonomous SIQRC Model with Inference," Mathematics, MDPI, vol. 11(8), pages 1-18, April.

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