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Zbl 1235.65095
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)
[J] Math. Comput. Modelling 54, No. 11-12, 3007-3015 (2011). ISSN 0895-7177

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.

MSC 2000:: *65L99 Numerical methods for ODE
92D30 Epidemiology

Keywords: HIV infection model; homotopy analysis method; $\hbar$-curve; analytical solution

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Zentralblatt MATH Berlin [Germany]