Abstract
This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve this fractional order HIV model. Moreover, the convergence of this method is also discussed. It can be observed from the numerical solution that (L-ADM) is very simple and accurate to solve fraction order HIV model.
Highlights
AIDS is a disease which is caused by the type of pathogen virus called human immune deficiency virus (HIV)
The following analytical approximate solution can be obtained by using Laplace-Adomian decomposition method (L-ADM)
It is observed from the Figures (1–5) that the Laplace-Adomian decomposition method is more accurate
Summary
AIDS (acquired immune deficiency syndrome) is a disease which is caused by the type of pathogen virus called human immune deficiency virus (HIV) This virus was introduced in 1981 in USA. For the numerical solutions of HIV-1 models, some methods have been introduced. First, we consider the HIV infection integer order model which has been presented in [9]. This model consists of five compartments: x t which stands for the uninfected CD4+ T cells, x⋆ t which represents the concentration of infected cells while the concentration of double cells is denoted by x⋆⋆, and the densities of pathogen viruses and recombinant.
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