A homotopy analysis method combined with Laplace transform is applied to the HIV CD8+ T-cell infection model, with convergence proved and numerical results presented for approximation orders 5 and 10.
Solving a non-linear model of HIV infection for CD4+T cells by combining Laplace transformation and Homotopy analysis method
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abstract
The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells. For this reason, the homotopy analysis transform method (HATM) is applied. The presented method is combination of traditional homotopy analysis method (HAM) and the Laplace transformation. The convergence of presented method is discussed by preparing a theorem which shows the capabilities of method. The numerical results are shown for different values of iterations. Also, the regions of convergence are demonstrated by plotting several h-curves. Furthermore in order to show the efficiency and accuracy of method, the residual error for different iterations are presented.
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cs.CE 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells
A homotopy analysis method combined with Laplace transform is applied to the HIV CD8+ T-cell infection model, with convergence proved and numerical results presented for approximation orders 5 and 10.