title: Computational analysis of the model describing HIV infection of CD4+T Cells.
abstract: 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.
authors.affiliation: Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.
authors.forename: Abdon
authors.initials: A
authors.lastname: Atangana
authors.affiliation: Department of Mathematical Sciences, University of South Africa, Florida Sciences Campus, Florida 0003, South Africa.
authors.forename: Emile Franc
authors.identifier: 0000-0001-6520-1039
authors.initials: EF
authors.lastname: Doungmo Goufo
mesh_terms: D015496:CD4-Positive T-Lymphocytes / Q000473:pathology* / Q000821:virology; D003198:Computer Simulation; D006678:HIV / Q000472:pathogenicity; D015658:HIV Infections / Q000235:genetics / Q000473:pathology*; D006801:Humans; D008962:Models, Theoretical