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

Application of the homotopy analysis method for solving a model for HIV infection of CD4\(^{+}\) T-cells. (English) Zbl 1235.65095

Math. Comput. Modelling 54, No. 11-12, 3007-3015 (2011).
Summary: 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.

Cited in 22 Documents

MSC:

65L99 Numerical methods for ordinary differential equations
92D30 Epidemiology

Keywords:

HIV infection model; homotopy analysis method; \(\hbar\)-curve; analytical solution
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\textit{M. Ghoreishi} et al., Math. Comput. Modelling 54, No. 11--12, 3007--3015 (2011; Zbl 1235.65095)
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References:

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