Stability analysis and numerical solutions of fractional order HIV/AIDS model

Aziz Khan, J.F. Gómez-Aguilar, Tahir Saeed Khan and Hasib Khan

Chaos, Solitons & Fractals, 2019, vol. 122, issue C, 119-128

Abstract: In this work, we study the Fractional Order (FO) model HIV/AIDS involving the Liouville–Caputo and Atangana–Baleanu–Caputo derivatives. The generalized HIV/AIDS model enable and indicates that some infected specific move from symptomatic phase to the asymptomatic phase in all kind of analysis. Special iterative solutions were obtained by the use of Laplace and Sumudu transform. Existence, uniqueness of the solution and stability criteria for the FO model were obtained by fixed point theorem. For the numerical treatment of generalized HIV/AIDS model, we using Adams methods. Furthermore, the convergency of the numerical solutions were analyzed in detail. Finally, for results illustration numerical simulations are presented.

Keywords: Liouville–Caputo derivative; Atangana–Baleanu–Caputo derivative; Laplace transform; Sumudu transform; Fixed point theorem; Adams methods (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:122:y:2019:i:c:p:119-128

DOI: 10.1016/j.chaos.2019.03.022

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