Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations

Fengying Wei and Fangxiang Chen

Physica A: Statistical Mechanics and its Applications, 2016, vol. 453, issue C, 99-107

Abstract: This article discusses a stochastic SIQS epidemic model with saturated incidence. We assume that random perturbations always fluctuate at the endemic equilibrium. The existence of a global positive solution is obtained by constructing a suitable Lyapunov function. Under some suitable conditions, we derive the stochastic boundedness and stochastic permanence of the solutions of a stochastic SIQS model. Some numerical simulations are carried out to check our results.

Keywords: Stochastically ultimately bounded; Stochastic permanence; Itô’s formula; Lyapunov function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:453:y:2016:i:c:p:99-107

DOI: 10.1016/j.physa.2016.01.059

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