Dynamical behavior and optimal control of a stochastic mathematical model for cholera

Xueyong Zhou, Xiangyun Shi and Ming Wei

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: A stochastic cholera model with saturation recovery rate is discussed. Firstly, the existence and uniqueness of the global positive solution of the system are proved. Secondly, the asymptotic behavior of the solutions of the stochastic cholera model near the disease-free equilibrium and the corresponding deterministic endemic equilibrium is discussed. Then, the phenomenon that the large noise can cause the extinction of cholera is obtained. Furthermore, on the basis of the stochastic model, the optimal control is added and studied to provide a theoretical basis for the prevention and control of cholera. Finally, the theoretical results are verified by numerical simulations and some suggestions on how to better control the disease are presented.

Keywords: Stochastic cholera model; Asymptotic behavior; Optimal control; Saturated recovery (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000650

DOI: 10.1016/j.chaos.2022.111854

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