Computational Analysis of the Model Describing HIV Infection of CD4+T Cells

Computational Analysis of the Model Describing HIV Infection of CD4+T Cells

An analysis of the model underpinning the description of the spread of HIV infection of CD4+T cells is examined in detail in this work. Investigations of the disease free and endemic equilibrium are done using the method of Jacobian matrix. An iteration technique, namely, the homotopy decomposition...

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Main Authors: Abdon Atangana, Emile Franc Doungmo Goufo
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:BioMed Research International
Online Access:http://dx.doi.org/10.1155/2014/618404
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spelling doaj-bfe73c5d38a74c0897c39b1decbf696a2020-11-24T22:23:13ZengHindawi LimitedBioMed Research International2314-61332314-61412014-01-01201410.1155/2014/618404618404Computational Analysis of the Model Describing HIV Infection of CD4+T CellsAbdon Atangana0Emile Franc Doungmo Goufo1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaDepartment of Mathematical Sciences, University of South Africa, Florida Sciences Campus, Florida 0003, South AfricaAn analysis of the model underpinning the description of the spread of HIV infection of CD4+T cells is examined in detail in this work. Investigations of the disease free and endemic equilibrium are done using the method of Jacobian matrix. An iteration technique, namely, the homotopy decomposition method (HDM), is implemented to give an approximate solution of nonlinear ordinary differential equation systems. The technique is described and illustrated with numerical examples. The approximated solution obtained via HDM is compared with those obtained via other methods to prove the trustworthiness of HDM. Moreover, the lessening and simplicity in calculations furnish HDM with a broader applicability.http://dx.doi.org/10.1155/2014/618404
collection DOAJ
language English
format Article
sources DOAJ
author Abdon Atangana
Emile Franc Doungmo Goufo
spellingShingle Abdon Atangana
Emile Franc Doungmo Goufo
Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
BioMed Research International
author_facet Abdon Atangana
Emile Franc Doungmo Goufo
author_sort Abdon Atangana
title Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
title_short Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
title_full Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
title_fullStr Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
title_full_unstemmed Computational Analysis of the Model Describing HIV Infection of CD4+T Cells
title_sort computational analysis of the model describing hiv infection of cd4+t cells
publisher Hindawi Limited
series BioMed Research International
issn 2314-6133
2314-6141
publishDate 2014-01-01
description An analysis of the model underpinning the description of the spread of HIV infection of CD4+T cells is examined in detail in this work. Investigations of the disease free and endemic equilibrium are done using the method of Jacobian matrix. An iteration technique, namely, the homotopy decomposition method (HDM), is implemented to give an approximate solution of nonlinear ordinary differential equation systems. The technique is described and illustrated with numerical examples. The approximated solution obtained via HDM is compared with those obtained via other methods to prove the trustworthiness of HDM. Moreover, the lessening and simplicity in calculations furnish HDM with a broader applicability.
url http://dx.doi.org/10.1155/2014/618404
work_keys_str_mv AT abdonatangana computationalanalysisofthemodeldescribinghivinfectionofcd4tcells
AT emilefrancdoungmogoufo computationalanalysisofthemodeldescribinghivinfectionofcd4tcells
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