Stability analysis of the hiv model through incommensurate fractional-order nonlinear system

Bahatdin Daşbaşi

Chaos, Solitons & Fractals, 2020, vol. 137, issue C

Abstract: In this study, it is employed a new model of HIV infection in the form of incommensurate fractional differential equations systems involving the Caputo fractional derivative. Existence of the model's equilibrium points has been investigated. According to some special cases of the derivative-orders in the proposed model, the asymptotic stability of the infection-free equilibrium and endemic equilibrium has been proved under certain conditions. These stability conditions related to the derivative-orders depend on not only the basic reproduction rate frequently emphasized in the literature but also the newly obtained conditions in this study. Qualitative analysis results were complemented by numerical simulations in Matlab, illustrating the obtained stability result.

Keywords: HIV mathematical model; Incommensurate fractional-order differential equation; Stability analysis; Equilibrium points; 34A08; 34D20; 34K60; 92C50; 92D30 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920302708

DOI: 10.1016/j.chaos.2020.109870

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