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Dynamics of a stochastic cell-to-cell HIV-1 model with distributed delay

Author

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  • Ji, Chunyan
  • Liu, Qun
  • Jiang, Daqing

Abstract

In this paper, we consider a stochastic cell-to-cell HIV-1 model with distributed delay. Firstly, we show that there is a global positive solution of this model before exploring its long-time behavior. Then sufficient conditions for extinction of the disease are established. Moreover, we obtain sufficient conditions for the existence of an ergodic stationary distribution of the model by constructing a suitable stochastic Lyapunov function. The stationary distribution implies that the disease is persistent in the mean. Finally, we provide some numerical examples to illustrate theoretical results.

Suggested Citation

  • Ji, Chunyan & Liu, Qun & Jiang, Daqing, 2018. "Dynamics of a stochastic cell-to-cell HIV-1 model with distributed delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1053-1065.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1053-1065
    DOI: 10.1016/j.physa.2017.11.035
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    Cited by:

    1. Tan, Yiping & Cai, Yongli & Sun, Xiaodan & Wang, Kai & Yao, Ruoxia & Wang, Weiming & Peng, Zhihang, 2022. "A stochastic SICA model for HIV/AIDS transmission," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Wang, Yan & Qi, Kai & Jiang, Daqing, 2021. "An HIV latent infection model with cell-to-cell transmission and stochastic perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Li, Qiuyue & Cong, Fuzhong & Liu, Tianbao & Zhou, Yaoming, 2020. "Stationary distribution of a stochastic HIV model with two infective stages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    4. Qi, Haokun & Meng, Xinzhu, 2021. "Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 700-719.

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