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An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells

2019/06/28 by Samad Noeiaghdam, Noeiaghdam, Samad, Emran Khoshrouye Ghiasi +1
Mathematics · Medicine · #Computational Engineering #FOS: Computer and information sciences #Finance #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Epidemiology and Ecology Models #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1907.01106

openalex publication_date 2019/06/28 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28

Abstract

In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate the abilities of presented method for solving non-linear mathematical models. The numerical results for N = 5, 10 are presented. Several h-curves are plotted to show the convergence regions of solutions. The plots of residual error functions indicate the precision of presented method.

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