Computational solutions of the HIV-1 infection of CD4+T-cells fractional mathematical model that causes acquired immunodeficiency syndrome (AIDS) with the effect of antiviral drug therapy

Abdel-Haleem Abdel-Aty, Mostafa M.A. Khater, Hemen Dutta, Jamel Bouslimi and M. Omri

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

Abstract: This paper investigates the exact traveling wave solutions of the fractional model of the human immunodeficiency virus (HIV-1) infection for CD4+T-cells. This model also treats with the effect of antiviral drug therapy. These solutions calculate both the boundary and initial conditions that allow employing the septic-B-spline scheme which is one of the most recent schemes in the numerical field. We use the obtained computational solutions via the modified Khater, the extended simplest equation, and sech–tanh methods through Atangana-Baleanu derivative operator. The comparison between the exact and numerical evaluated solutions is illustrated by some distinct sketches. The functioning of our numerical method is tested under three computational obtained solutions.

Keywords: HIV-1 Infection of CD4+T–cells; Fractional calculus; Antiviral drug therapy; Computational and numerical solutions (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304896

DOI: 10.1016/j.chaos.2020.110092

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