Abstract
In this paper, first we consider a stochastic SIR epidemic model with information variable and saturated incidence rate and show that this model has a unique positive solution. We investigate the asymptotic behavior of the solution. Second we study a stochastic SIR epidemic model under regime switching, we show that the model is stochastically stable under certain condition and the moment average in time of the model solution is bounded. Finally, we give some numerical simulations to illustrate our findings.
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