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

被引：46

作者：

Arafa, A. A. M. ^{[1
]}

Rida, S. Z. ^{[1
]}

Khalil, M. ^{[2
]}

机构：

[1] S Valley Univ, Dept Math, Fac Sci, Qena, Egypt

[2] Modern Sci & Arts Univ MSA, Dept Math, Fac Engn, Giza, Egypt

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 04期

关键词：

Generalized Euler method; Homotopy analysis method; Caputo fractional derivative; HIV model; Numerical Solution; HOMOTOPY ANALYSIS METHOD; CD4(+) T-CELLS; VIRAL DYNAMICS; DIFFERENTIAL-EQUATIONS; INFECTION; THERAPY;

D O I：

10.1016/j.apm.2012.05.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2189 / 2196

页数：8

共 25 条

[11] Notes on the homotopy analysis method: Some definitions and theorems [J].