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Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks

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  • Wei, Xiaodan
  • Xu, Gaochao
  • Zhou, Wenshu

Abstract

We study the global stability of endemic equilibrium of a SIQRS epidemic model on complex networks. This model was proposed by Li et al. (2014). The local asymptotic stability of disease-free equilibrium and the permanence of the disease were proved by them. By use of a combination of Lyapunov function method and a monotone iterative technique, we prove that the endemic equilibrium is globally asymptotically stable. Numerical simulations indicate that quarantine strategy is an effective measure in preventing and controlling epidemic spreading.

Suggested Citation

  • Wei, Xiaodan & Xu, Gaochao & Zhou, Wenshu, 2018. "Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 203-214.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:203-214
    DOI: 10.1016/j.physa.2018.08.119
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    References listed on IDEAS

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    Cited by:

    1. Utsumi, Shinobu & Arefin, Md. Rajib & Tatsukawa, Yuichi & Tanimoto, Jun, 2022. "How and to what extent does the anti-social behavior of violating self-quarantine measures increase the spread of disease?," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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