Solving a non-linear model of HIV infection for CD4+T cells by combining Laplace transformation and Homotopy analysis method

2018/09/13 by Samad Noeiaghdam, Noeiaghdam, Samad, Emran Khoshrouye Ghiasi +1
Biochemistry, Genetics and Molecular Biology · #44A10 #65L99 #92B05 #FOS: Biological sciences #Other Quantitative Biology (q-bio.OT) #msc:44A10 #msc:65L99 #msc:92B05 #q-bio.OT

paper · pdf · doi:10.48550/arxiv.1809.06232

arxiv created 2019/07/16 · arxiv updated 2019/07/18

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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