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A stochastic Hepatitis B epidemic model driven by Lévy noise

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  • Boukanjime, Brahim
  • El Fatini, Mohamed

Abstract

In this paper, we investigate a stochastic hepatitis B epidemic model driven by Lévy noise. We prove the existence of a unique global positive solution and we present sufficient conditions to derive extinction and persistence in mean of the disease.

Suggested Citation

  • Boukanjime, Brahim & El Fatini, Mohamed, 2019. "A stochastic Hepatitis B epidemic model driven by Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 796-806.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:796-806
    DOI: 10.1016/j.physa.2019.01.097
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    References listed on IDEAS

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    1. Khan, Tahir & Khan, Amir & Zaman, Gul, 2018. "The extinction and persistence of the stochastic hepatitis B epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 123-128.
    2. Zhang, Xinhong & Jiang, Daqing & Hayat, Tasawar & Ahmad, Bashir, 2017. "Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 767-777.
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    Cited by:

    1. Laaribi, Aziz & Boukanjime, Brahim & El Khalifi, Mohamed & Bouggar, Driss & El Fatini, Mohamed, 2023. "A generalized stochastic SIRS epidemic model incorporating mean-reverting Ornstein–Uhlenbeck process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Boukanjime, Brahim & Caraballo, Tomás & El Fatini, Mohamed & El Khalifi, Mohamed, 2020. "Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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