The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching

Junna Hu, Zhidong Teng, Zhiming Li and Buyu Wen

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

Abstract: In this paper, a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching is investigated. This model concerned about white noise and color noise. A new technique to deal with the nonlinear incidence and vaccination for the stochastic epidemic models is introduced. The sufficient conditions on the extinction and the permanence in the mean with probability one are established by constructing new Lyapunov functions with regime switching.

Keywords: Stochastic SIS epidemic model; Markov switching; Extinction; Permanence; Lyapunov function (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:s0378437119309203

DOI: 10.1016/j.physa.2019.121555

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