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

Yan Cheng, Mingtao Li and Fumin Zhang

Chaos, Solitons & Fractals, 2019, vol. 129, issue C, 62-70

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.

Keywords: Stochastic model; Lévy noise; Within-host HIV infection; Persistence in mean (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:129:y:2019:i:c:p:62-70

DOI: 10.1016/j.chaos.2019.07.054

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