Dynamics of a stochastic cholera epidemic model with Lévy process

Yu Zhu, Liang Wang and Zhipeng Qiu

Physica A: Statistical Mechanics and its Applications, 2022, vol. 595, issue C

Abstract: In this paper, a stochastic cholera epidemic model subjected to a Brownian motion noise and a Lévy jump process noise is formulated. The asymptotic behaviors around the equilibriums of the corresponding deterministic model are investigated. It is shown that the expected time average of the distance between the stochastic solution and the equilibriums of the associated deterministic model is small when the noise intensities are small, and the solution will oscillate around these steady states. The amplitude of vibration not only depends on the intensities of the Brownian motion noise but also the Lévy noise. Numerical examples are carried out to illustrate the theoretical results.

Keywords: Cholera epidemic model; Brownian motion; Lévy process; Global positive solution; Asymptotic behavior (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:595:y:2022:i:c:s0378437122001200

DOI: 10.1016/j.physa.2022.127069

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