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Dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration

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  • Liu, Qun
  • Jiang, Daqing

Abstract

In this paper, we study the dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration. We derive sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions. In a biological point of view, the existence of a stationary distribution indicates that the infectious disease will be prevalent and persistent in the population. Moreover, we make up adequate criteria for complete eradication and wiping out of the infectious disease. Finally, we introduce some numerical simulations to confirm the theoretical results.

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  • 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).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307281
    DOI: 10.1016/j.chaos.2020.110333
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    References listed on IDEAS

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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. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Kiouach, Driss & El-idrissi, Salim El Azami & Sabbar, Yassine, 2023. "An improvement of the extinction sufficient conditions for a higher-order stochastically disturbed AIDS/HIV model," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    4. 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.
    5. Yassine Sabbar & Mehmet Yavuz & Fatma Özköse, 2022. "Infection Eradication Criterion in a General Epidemic Model with Logistic Growth, Quarantine Strategy, Media Intrusion, and Quadratic Perturbation," Mathematics, MDPI, vol. 10(22), pages 1-16, November.

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