Application of the homotopy analysis method for solving a model for HIV infection of CD4 + T-cells

In this paper, the homotopy analysis method (HAM) is investigated to give an approximate solution of a model for HIV infection of CD4 + T-cells. This method allows for the solution of the governing differential equation to be calculated in the form of an infinite series with components which can be...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical and computer modelling 2011-12, Vol.54 (11), p.3007-3015
Main Authors: Ghoreishi, M., Ismail, A.I.B.Md, Alomari, A.K.
Format: Article
Language:English
Subjects:
[formula omitted]-curve
Analytical solution
Exact sciences and technology
HIV infection model
Homotopy analysis method
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the homotopy analysis method (HAM) is investigated to give an approximate solution of a model for HIV infection of CD4 + T-cells. This method allows for the solution of the governing differential equation to be calculated in the form of an infinite series with components which can be easily calculated. The HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution by using an auxiliary parameter. The results obtained are presented, and six terms are sufficient to obtain an approximation solution that is very accurate.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.07.029