Threshold behaviour of a stochastic epidemic model with two-dimensional noises

M. El Fatini, R. Taki and A. Tridane

Physica A: Statistical Mechanics and its Applications, 2019, vol. 524, issue C, 776-786

Abstract: The aim of this work is to study a new stochastic SIR epidemic model that includes two types of white noises. These noises perturb two important parameters in the disease dynamic: the disease transmission rate and the recovery rate. By means of the Lyapunov functions, we prove the global existence and positivity of the solution. We also investigate the conditions of the extinction and the persistence of the disease and use a suitable Lyapunov function to study the stability of the model. Numerical simulations of our result are also presented.

Keywords: Epidemic model; Stochastic process; Instability stochastic; Lyapunov function; Persistence in mean; Extinction (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:524:y:2019:i:c:p:776-786

DOI: 10.1016/j.physa.2019.04.224

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