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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process

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  • Amine El Koufi
  • Chun-Biao Li

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.

Suggested Citation

  • Amine El Koufi & Chun-Biao Li, 2022. "Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process," Complexity, Hindawi, vol. 2022, pages 1-13, April.
    • Handle: RePEc:hin:complx:8093696
    DOI: 10.1155/2022/8093696
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