Title of article
The Fractional Differential Model of HIV-1 Infection of CD4+ T-Cells with Description of the Effect of Antiviral Drug Treatment
Author/Authors
Hasani Lichae, Bijan Department of Mathematics - Guilan Science and Research Branch - Islamic Azad University - Rasht, Iran , Biazar, Jafar Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Guilan - Rasht - Guilan, Iran , Ayati, Zainab Department of Engineering Sciences - Faculty of Technology and Engineering East of Guilan - University of Guilan - Rudsar-Vajargah, Iran
Pages
12
From page
1
To page
12
Abstract
In this paper, the fractional-order differential model of HIV-1 infection of CD4+ T-cells with the effect of drug therapy has been
introduced. There are three components: uninfected CD4+ T-cells, x, infected CD4+ T-cells, y, and density of virions in plasma, z.
The aim is to gain numerical solution of this fractional-order HIV-1 model by Laplace Adomian decomposition method (LADM).
The solution of the proposed model has been achieved in a series form. Moreover, to illustrate the ability and efficiency of the
proposed approach, the solution will be compared with the solutions of some other numerical methods. The Caputo sense has
been used for fractional derivatives.
Keywords
CD4+ T-Cells , HIV-1 , Treatment , AIDS
Journal title
Computational and Mathematical Methods in Medicine
Serial Year
2019
Full Text URL
Record number
2612052
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