Stationary distribution of a stochastic cholera model between communities linked by migration

Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad

Applied Mathematics and Computation, 2020, vol. 373, issue C

Abstract: In this paper, we develop and study a stochastic cholera model between communities linked by migration. Firstly, we show that there exists a unique global positive solution of the considered system with any positive initial value. Then by using the stochastic Lyapunov analysis method, we obtain sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Our result shows that the migration and the small white noise are not beneficial for eliminating cholera. Finally, some examples together with numerical simulations are introduced to support the theoretical result.

Keywords: Cholera model; Stationary distribution; Ergodicity; Migration (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300319310136

DOI: 10.1016/j.amc.2019.125021

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