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Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays

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  • Chen, Chong
  • Zhou, Yinggao

Abstract

An HIV model with a general incidence, CTLs immune response and intracellular delays is considered. By using Lyapunov functions and LaSalle’s invariance principle, it is shown that when time delay is equal to zero or not, the reproductive number R0 is a threshold determining the global dynamics. These theoretical results are supported with numerical simulations. In order to effectively control the spread of HIV, A multi-pathways HIV-1 infection model without time delay is analyzed with three controls. The necessary conditions for optimal control are given by Pontryagin’s Maximum Principle. The optimality system is derived and solved numerically using the Euler procedure. Finally, numerical simulation shows the role of the best treatment in controlling the severity of HIV.

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  • Chen, Chong & Zhou, Yinggao, 2023. "Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 159-181.
    • Handle: RePEc:eee:matcom:v:212:y:2023:i:c:p:159-181
    DOI: 10.1016/j.matcom.2023.04.029
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    Cited by:

    1. Noura H. AlShamrani & Reham H. Halawani & Ahmed M. Elaiw, 2023. "Effect of Impaired B-Cell and CTL Functions on HIV-1 Dynamics," Mathematics, MDPI, vol. 11(20), pages 1-39, October.

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