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Geometric ergodicity and Ω-limit set of an SIRm epidemic model with regime switching

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  • Lan, Guijie
  • Yuan, Sanling

Abstract

In this paper, a piecewise deterministic SIRm epidemic model with human mobility and regime switching is studied. First, we show that the epidemic threshold of the model can be represented by the basic reproduction number R0, that is, if R0<1, the epidemic will be eradicated almost surely, while if R0>1, the epidemic will continue to spread. Further, we study the ergodicity and the Ω-limit set of the model and discuss the relationship between the ergodicity and the Ω-limit set.

Suggested Citation

  • Lan, Guijie & Yuan, Sanling, 2023. "Geometric ergodicity and Ω-limit set of an SIRm epidemic model with regime switching," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002035
    DOI: 10.1016/j.chaos.2023.113302
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    References listed on IDEAS

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    1. Khan, Md. Mamun-Ur-Rashid & Arefin, Md. Rajib & Tanimoto, Jun, 2022. "Investigating the trade-off between self-quarantine and forced quarantine provisions to control an epidemic: An evolutionary approach," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    2. Tori, Risa & Tanimoto, Jun, 2022. "A study on prosocial behavior of wearing a mask and self-quarantining to prevent the spread of diseases underpinned by evolutionary game theory," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Lan, Guijie & Song, Baojun & Yuan, Sanling, 2023. "Epidemic threshold and ergodicity of an SEIR model with vertical transmission under the telegraph noise," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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