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Volume 2, Issue 4
Stationary Distribution and Extinction of Stochastic HTLV-I Infection Model with CTL Immune Response under Regime Switching

Kuang Daipeng, Qian Yin & Jianli Li

DOI: 10.12150/jnma.2020.585

J. Nonl. Mod. Anal., 2 (2020), pp. 585-600.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, the stochastic HTLV-I infection model with CTL immune response is investigated. Firstly, we show that the stochastic system exists unique positive global solution originating from the positive initial value. Secondly, we obtain that the existence of ergodic stationary distribution of the model by stochastic $Lyapunov$ functions. Thirdly, we establish sufficient conditions for extinction of the infected cells. Finally, numerical simulations are carried out to illustrate the theoretical results.

  • Keywords

Stochastic HTLV-I infection model, Ergodic stationary distribution, Extinction, Markov switching.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-585, author = {Daipeng , KuangYin , Qian and Li , Jianli}, title = {Stationary Distribution and Extinction of Stochastic HTLV-I Infection Model with CTL Immune Response under Regime Switching}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {4}, pages = {585--600}, abstract = {

In this paper, the stochastic HTLV-I infection model with CTL immune response is investigated. Firstly, we show that the stochastic system exists unique positive global solution originating from the positive initial value. Secondly, we obtain that the existence of ergodic stationary distribution of the model by stochastic $Lyapunov$ functions. Thirdly, we establish sufficient conditions for extinction of the infected cells. Finally, numerical simulations are carried out to illustrate the theoretical results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.585}, url = {http://global-sci.org/intro/article_detail/jnma/18831.html} }
TY - JOUR T1 - Stationary Distribution and Extinction of Stochastic HTLV-I Infection Model with CTL Immune Response under Regime Switching AU - Daipeng , Kuang AU - Yin , Qian AU - Li , Jianli JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 585 EP - 600 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.585 UR - https://global-sci.org/intro/article_detail/jnma/18831.html KW - Stochastic HTLV-I infection model, Ergodic stationary distribution, Extinction, Markov switching. AB -

In this paper, the stochastic HTLV-I infection model with CTL immune response is investigated. Firstly, we show that the stochastic system exists unique positive global solution originating from the positive initial value. Secondly, we obtain that the existence of ergodic stationary distribution of the model by stochastic $Lyapunov$ functions. Thirdly, we establish sufficient conditions for extinction of the infected cells. Finally, numerical simulations are carried out to illustrate the theoretical results.

Daipeng , KuangYin , Qian and Li , Jianli. (2021). Stationary Distribution and Extinction of Stochastic HTLV-I Infection Model with CTL Immune Response under Regime Switching. Journal of Nonlinear Modeling and Analysis. 2 (4). 585-600. doi:10.12150/jnma.2020.585
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