The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
Series Info
Applied Mathematical Modelling
37
37
Scientific Journal Rankings
Abstract
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. � 2012 Elsevier Inc.
Description
Scopus
Keywords
Caputo fractional derivative, Generalized Euler method, HIV model, Homotopy analysis method, Numerical solution, Caputo fractional derivatives, Euler method, HIV models, Homotopy analysis methods, Numerical solution, Differentiation (calculus), Drug therapy, Plasma density, Viruses, Diseases