Dynamics Analysis of a Stochastic SIR Epidemic Model

Feng Rao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/356013

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:356013

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