Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion

Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion

Abstract In this paper, we consider a stochastic SIR epidemic model with regime switching. The Markov semigroup theory will be employed to obtain the existence of a unique stable stationary distribution. We prove that, if Rs<0 $\mathcal{R}^{s}<0$, the disease becomes extinct exponentially; whe...

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Bibliographic Details
Main Authors: Manli Jin, Yuguo Lin, Minghe Pei
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Stationary distribution
Markov semigroups
Asymptotic stability
Online Access:http://link.springer.com/article/10.1186/s13662-018-1505-2

Internet

http://link.springer.com/article/10.1186/s13662-018-1505-2

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