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

Manish Goyal, Haci Mehmet Baskonus and Amit Prakash

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

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.

Keywords: Human immuno-deficiency virus (HIV); Acquired immuno-deficiency syndrome (AIDS); Time-fractional HIV/AIDS transmission model; Fractional variational iteration method (FVIM); Liouville-Caputo fractional derivative (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304938

DOI: 10.1016/j.chaos.2020.110096

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