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

Author

Ghoreishi, M., Ismail, A.I.B.Md., and Alomari, A.K.

Subjects
*HIV infections, *CD antigens, *T cells, *MATHEMATICAL models in medicine, *HOMOTOPY theory, *DIFFERENTIAL equations, *STOCHASTIC convergence, *INFINITE series (Mathematics)
Abstract

Abstract: 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. [Copyright &y& Elsevier]

Published
2011
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