Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 4, Pages 2189-2196Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.05.002
Keywords
Generalized Euler method; Homotopy analysis method; Caputo fractional derivative; HIV model; Numerical Solution
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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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