Ergodicity of a regime-switching epidemic model with degenerate diffusion

Yuguo Lin and Manli Jin

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

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.

Keywords: Irreducibility; Strong Feller property; Ergodicity; Extinction (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306909

DOI: 10.1016/j.physa.2019.121134

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