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

Subject Areas : International Journal of Mathematical Modelling & Computations

Samad Noeiaghdam ¹ , Emran Khoshrouye Ghiasi ²

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

Received: 2019-08-06 Accepted : 2019-11-15 Published : 2019-12-01

Keywords: Homotopy Analysis Method, Laplace transformations, Mathematical model of HIV infection, CD8+ T-cells,

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.