An Efficient Method to Solve the Mathematical Model of HIV Infection for CD8+ T-Cells

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  • Samad Noeiaghdam*1,
  • Emran Khoshrouye Ghiasi2,
  1. Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, Russian Federation; South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russian Federation
  2. Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Revised: 06-08-2019

Accepted: 15-11-2019

Published in Issue 01-12-2019

How to Cite

Noeiaghdam, S., & Khoshrouye Ghiasi, E. (2019). An Efficient Method to Solve the Mathematical Model of HIV Infection for CD8+ T-Cells. International Journal of Mathematical Modelling & Computations, 9(4), 267-281. https://oiccpress.com/ijm2c/article/view/11329

Abstract

In this paper, the mathematical model of HIV infection forCD8+ 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 $hbar$-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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