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Ergodicity of a regime-switching epidemic model with degenerate diffusion

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  • Lin, Yuguo
  • Jin, Manli

Abstract

In this paper, we consider a stochastic SIS epidemic model with regime-switching. By verifying a Foster–Lyapunov condition, a threshold condition for the ergodicity is presented. That is, Rs>0 is the sufficient condition for the ergodicity, and if Rs<0 stochastic system does not possess the ergodicity.

Suggested Citation

  • Lin, Yuguo & Jin, Manli, 2019. "Ergodicity of a regime-switching epidemic model with degenerate diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306909
    DOI: 10.1016/j.physa.2019.121134
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    Cited by:

    1. Tuerxun, Nafeisha & Wen, Buyu & Teng, Zhidong, 2021. "The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 888-912.

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