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Dynamics Analysis of a Stochastic SIR Epidemic Model

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  • Feng Rao

Abstract

We investigate an SIR epidemic model with stochastic perturbations. We assume that stochastic perturbations are of a white noise type which is directly proportional to the distances of three variables from the steady‐state values, respectively. By constructing suitable Lyapunov functions and applying Itô’s formula, some qualitative properties are obtained, such as the existence of global positive solutions, stochastic boundedness, and permanence. A series of numerical simulations to illustrate these mathematical findings are presented.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:356013
DOI: 10.1155/2014/356013
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