Title of article
An Efficient Method to Solve the Mathematical Model of HIV Infection for CD8+ T-Cells
Author/Authors
Noeiaghdam, Samad Baikal School of BRICS - Irkutsk National Research Technical University, Irkutsk, Russian Federation; South Ural State University - Lenin prospect 76 - Chelyabinsk, 454080, Russian Federation , Khoshrouye Ghiasi, Emran Young Researchers and Elite Club - Mashhad Branch - Islamic Azad University, Mashhad, Iran
Pages
15
From page
267
To page
281
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 $hbar$-curves are plotted to show the convergence regions of solutions. The plots of residual error functions indicate the precision of presented method.
Keywords
Homotopy analysis method , CD8+ T-cell , Laplace transformations , Mathematical model of HIV infection
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2019
Record number
2521888
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