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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process

Amine El Koufi and Chun-Biao Li

Complexity, 2022, vol. 2022, 1-13

Abstract: In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. We establish sufficient conditions for the extinction and persistence of the disease in the population using some stochastic analysis background. We illustrate our theoretical results by numerical simulations. We conclude that the white noise and Lévy jump influence the transmission of the epidemic.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:8093696

DOI: 10.1155/2022/8093696

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