Numerical analysis for a fractional differential time-delay model of HIV infection of CD4\(^+\) T-cell proliferation under antiretroviral therapy
type: Item
instance of: scholarly article
title: Numerical analysis for a fractional differential time-delay model of HIV infection of CD4\(^+\) T-cell proliferation under antiretroviral therapy
zbMATH Open document ID: 1406.92356
DOI: 10.1155/2014/291614
author: Yiliang Liu
author: Peifen Lu
author: Ivan Szanto
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study a fractional differential model of HIV infection of \(\text{CD4}^{\text{+}}\) T-cell, in which the \(\text{CD4}^{\text{+}}\) T-cell proliferation plays an important role in HIV infection under antiretroviral therapy. An appropriate method is given to ensure that both the equilibria are asymptotically stable for \(\tau \geq 0\). We calculate the basic reproduction number \(R_0\), the IFE \(E_0\), two IPEs \(E_1^*\) and \(E_2^*\), and so on, and judge the stability of the equilibrium. In addition, we describe the dynamic behaviors of the fractional HIV model by using the Adams-type predictor-corrector method algorithm. At last, we extend the model to incorporate the term which we consider the loss of virion and a bilinear term during attacking the target cells.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 7022104
zbMATH Keywords: HIV infection
zbMATH Keywords: CD4\(^+\) T-cell proliferation
zbMATH Keywords: antiretroviral therapy
zbMATH Keywords: fractional differential time-delay model
Wikidata QID: Q59037765
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/291614
OpenAlex ID: W1488176733
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description: scientific article; zbMATH DE number 7022104