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Role of ART and PrEP treatments in a stochastic HIV/AIDS epidemic model

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  • Luo, Yantao
  • Huang, Jianhua
  • Teng, Zhidong
  • Liu, Qun

Abstract

In this paper, a stochastic HIV/AIDS epidemic model is presented to study the synthetic effect of ART (antiretroviral therapy) and PrEP (pre-exposure prophylaxis) treatments among MSM ( men who have sex with men). Firstly, we give the global stability of disease-free equilibrium and the endemic equilibrium in terms of basic reproduction number R0 for deterministic model. And then the existence of global positive solutions and the existence of unique ergodic stationary distribution under R0S>1 for stochastic model are given. Further, the long-time stochastic dynamic of the model is investigated, including the criteria on the extinction and persistence in mean for the stochastic model. Finally, we give some numerical simulations to illustrate our theoretical results, and the sensitive analysis shows that ART (antiretroviral therapy) and PrEP (pre-exposure prophylaxis) treatments can effectively control the spread of AIDS among MSM population.

Suggested Citation

  • Luo, Yantao & Huang, Jianhua & Teng, Zhidong & Liu, Qun, 2024. "Role of ART and PrEP treatments in a stochastic HIV/AIDS epidemic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 337-357.
    • Handle: RePEc:eee:matcom:v:221:y:2024:i:c:p:337-357
    DOI: 10.1016/j.matcom.2024.03.010
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    References listed on IDEAS

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    1. 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).
    2. Zhai, Xuanpei & Li, Wenshuang & Wei, Fengying & Mao, Xuerong, 2023. "Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. 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).
    4. Chen, Yiliang & Wen, Buyu & Teng, Zhidong, 2018. "The global dynamics for a stochastic SIS epidemic model with isolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1604-1624.
    5. Zhao, Yanan & Jiang, Daqing & O’Regan, Donal, 2013. "The extinction and persistence of the stochastic SIS epidemic model with vaccination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4916-4927.
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