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An improvement of the extinction sufficient conditions for a higher-order stochastically disturbed AIDS/HIV model

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  • Kiouach, Driss
  • El-idrissi, Salim El Azami
  • Sabbar, Yassine

Abstract

The principal purpose of this paper is to improve the extinction sufficient conditions of the higher-order perturbed multi-stage AIDS/HIV model proposed by Liu and Jiang in [1]. First, and by utilizing some novel and non-standard analytical techniques, we give a new extinction theorem of the said AIDS model. Then, we demonstrate that this new theorem is stronger and much more general than its homologue existing in [1]. Finally, we provide some simulations in order to bear out our theoretical results and clarify the impact of the adopted mathematical techniques on the findings.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:447:y:2023:i:c:s0096300323000462
    DOI: 10.1016/j.amc.2023.127877
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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. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Ahmad, Bashir, 2017. "Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 867-882.
    3. Peng, Shige & Zhu, Xuehong, 2006. "Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 116(3), pages 370-380, March.
    4. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Ahmad, Bashir, 2017. "Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 476(C), pages 58-69.
    5. Yu, Jingyi & Liu, Meng, 2017. "Stationary distribution and ergodicity of a stochastic food-chain model with Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 14-28.
    6. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2017. "Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 510-517.
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