Dynamics Analysis of a Stochastic SIR Epidemic Model

Feng Rao

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:356013

DOI: 10.1155/2014/356013

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