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Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model

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  • Goyal, Manish
  • Baskonus, Haci Mehmet
  • Prakash, Amit

Abstract

HIV/AIDS is a lethal disease that breaks down immune system of a human body making the victim susceptible to life threatening infections, unusual malignancies or neurological disorders. HIV/AIDS is a major transmissible disease. An analysis with a nonlinear time fractional epidemic system model of HIV/AIDS transmission for humans is carried out. Its solution is found using fractional variational iteration method with convergence analysis of the series solution. The outcomes are discussed with figures that display the variation in the population of susceptible, HIV infected (with or without symptom of AIDS) and HIV infected under antiretroviral treatment with time. The results confirm that FVIM is highly reliable, efficient, effective and also easy to use.

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  • Goyal, Manish & Baskonus, Haci Mehmet & Prakash, Amit, 2020. "Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304938
    DOI: 10.1016/j.chaos.2020.110096
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    Cited by:

    1. Tyagi, Swati & Martha, Subash C. & Abbas, Syed & Debbouche, Amar, 2021. "Mathematical modeling and analysis for controlling the spread of infectious diseases," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Prakash, Amit & Kaur, Hardish, 2021. "Analysis and numerical simulation of fractional Biswas–Milovic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 298-315.
    3. Kumar, Manoj & Abbas, Syed, 2022. "Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 237-252.

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