Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells
type: Item
instance of: scholarly article
title: Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells
zbMATH Open document ID: 1474.92060
DOI: 10.1155/2014/838396
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper deals with stability and Hopf bifurcation analyses of a mathematical model of HIV infection of \(\text{CD} 4^+\) T-cells. The model is based on a system of delay differential equations with logistic growth term and antiretroviral treatment with a discrete time delay, which plays a main role in changing the stability of each steady state. By fixing the time delay as a bifurcation parameter, we get a limit cycle bifurcation about the infected steady state. We study the effect of the time delay on the stability of the endemically infected equilibrium. We derive explicit formulae to determine the stability and direction of the limit cycles by using center manifold theory and normal form method. Numerical simulations are presented to illustrate the results.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7023172
describes a project that uses: dde23
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/838396
OpenAlex ID: W2017738808
Wikidata QID: Q59041929
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description: scientific article; zbMATH DE number 7023172