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作 者:Deepmala Kamboj M. D. Sharma
机构地区:[1]MLN College, Yamuna Nagar Haryana, India [2]Department of Mathematics Kurukshetra University, India
出 处:《International Journal of Biomathematics》2016年第5期1-23,共23页生物数学学报(英文版)
摘 要:Infection of human immunodeficiency virus (HIV) is determined through the decay of healthy CD44- T-cells in a well-mixed compartment, such as a bloodstream. A mathe- matical model is considered to illustrate the effects of combined drug therapy, i.e. reverse transcription plus protease inhibitor, on viral growth and T-cell population dynamics. This model is used to explain the existence and stability of infected and uninfected steady states in HIV growth. An analytical technique, called variational iteration method (VIM), is used to solve the mathematical model. This method is modified to obtain the rapidly convergent successive approximations of the exact solution. These approximations are obtained without any restrictions or the transformations that may change the physical behavior of the problem. Numerical simulations are computed and exhibited to illustrate the effects of proposed drug therapy on the growth or decay of infection.
关 键 词:HIV infection CD4+ T-cells steady state stability iteration method efficacy.
分 类 号:Q78[生物学—分子生物学] S858.28[农业科学—临床兽医学]
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