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The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model
Journal article   Open access  Peer reviewed

The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model

A. A. M. Arafa, S. Z. Rida and M. Khalil
Applied mathematical modelling, Vol.37(4), pp.2189-2196
15/02/2013
DOI: https://doi.org/10.1016/j.apm.2012.05.002

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Science & Technology Technology
In this paper, generalized Euler method (GEM) and homotopy analysis method (HAM) are performed to solve the problem of the population dynamics of the human immunodeficiency type 1 virus (HIV-1). We introduce fractional orders to the model of HIV-1 whose components are plasma densities of uninfected CD4(+) T-cells, the infected such cells and the free virus. The effect of the drug treatment of HIV-1 will be discussed in this paper. (C) 2012 Elsevier Inc. All rights reserved.
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