The fractional differential model of HIV-1 infection of CD4\(^+\) T-cells with description of the effect of antiviral drug treatment
type: Item
instance of: scholarly article
title: The fractional differential model of HIV-1 infection of CD4\(^+\) T-cells with description of the effect of antiviral drug treatment
zbMATH Open document ID: 1423.92235
DOI: 10.1155/2019/4059549
author: Bijan Hasani Lichae
author: J. Biazar
author: Z. Ayati
author: Katarzyna Kolasa
published in: Computational \& Mathematical Methods in Medicine
publication date: 2019-02-26T00:00:00Z
review text: Summary: In this paper, the fractional-order differential model of HIV-1 infection of CD4\(^+\) T-cells with the effect of drug therapy has been introduced. There are three components: uninfected CD4\(^+\) T-cells, \(x\), infected CD4\(^+\) T-cells, \(y\), and density of virions in plasma, \(z\). The aim is to gain numerical solution of this fractional-order HIV-1 model by Laplace Adomian decomposition method (LADM). The solution of the proposed model has been achieved in a series form. Moreover, to illustrate the ability and efficiency of the proposed approach, the solution will be compared with the solutions of some other numerical methods. The Caputo sense has been used for fractional derivatives.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7029781
zbMATH Keywords: HIV-1 infection
zbMATH Keywords: fractional-order differential model
zbMATH Keywords: antiviral drug treatment
Wikidata QID: Q61800674
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/4059549
OpenAlex ID: W2909433992
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DBLP publication ID: journals/cmmm/LichaeBA19
description: scientific article; zbMATH DE number 7029781