Dynamics of DS‐I‐A epidemic model with multiple stochastic perturbations

Abstract

In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.KEYWORDS ergodicity, extinction, infectious disease models, multiple stochastic perturbations, stationary Markov process 6024

Stochastic SIRI epidemic model with global incidence rate and relapse

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Analysis of a stochastic SVIR model with time‐delayed stages of vaccination and Lévy jumps

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