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A dynamics stochastic model with HIV infection of CD4+ T-cells driven by Lévy noise

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  • Cheng, Yan
  • Li, Mingtao
  • Zhang, Fumin

Abstract

Aim to described this strong fluctuation by introducing a Lévy jump process into the HIV dynamical modelA stochastic model that describing the interaction between the CD4+ T-cells and the free human immunodeficiency virus (HIV) is investigated, a basic biological mechanism which describe the strong fluctuation in environment be considered into the model by introducing Lévy process. First, we obtained that the stochastic model admits a unique global positive solution. Then, constructed a function to analyze the extinction of infected the CD4+ T-cells and virus particles. Next, we investigated the persistence in mean of the infected CD4+ T-cells, a sufficient condition be established. Finally, some numerical simulations are given to verify the result of theoretical analysis.

Suggested Citation

  • Cheng, Yan & Li, Mingtao & Zhang, Fumin, 2019. "A dynamics stochastic model with HIV infection of CD4+ T-cells driven by Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 62-70.
    • Handle: RePEc:eee:chsofr:v:129:y:2019:i:c:p:62-70
    DOI: 10.1016/j.chaos.2019.07.054
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    References listed on IDEAS

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    Cited by:

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    4. Liu, Qun & Jiang, Daqing, 2020. "Dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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