Long-time behavior of a regime-switching SIRS epidemic model with degenerate diffusion

Yuguo Lin, Libo Wang and Xiaowan Dong

Physica A: Statistical Mechanics and its Applications, 2019, vol. 529, issue C

Abstract: Incorporating white and color noises into deterministic SIRS epidemic model, we establish a stochastic regime-switching SIRS model with degenerate diffusion. We prove that if Rs<0, then It becomes extinct exponentially; whereas if Rs>0, the densities of the distributions of the solution can converge in L1 to an invariant density.

Keywords: Diffusion process; Markov semigroups; Foguel alternative; Invariant density (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:529:y:2019:i:c:s0378437119309161

DOI: 10.1016/j.physa.2019.121551

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