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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process

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  • Amine El Koufi

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, 2022. "Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8093696
    DOI: 10.1155/2022/8093696
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    References listed on IDEAS

    as
    1. Amine El Koufi & Fathalla A. Rihan, 2022. "The Power of Delay on a Stochastic Epidemic Model in a Switching Environment," Complexity, Hindawi, vol. 2022, pages 1-9, March.
    2. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed, 2019. "Threshold dynamics of a stochastic SIS epidemic model with nonlinear incidence rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    3. Amine El Koufi, 2022. "The Power of Delay on a Stochastic Epidemic Model in a Switching Environment," Complexity, John Wiley & Sons, vol. 2022(1).
    4. Li, Xue-Zhi & Li, Wen-Sheng & Ghosh, Mini, 2009. "Stability and bifurcation of an SIS epidemic model with treatment," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2822-2832.
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