应用数学2011，Vol.24Issue(3)：456-461,6.
一类具有时滞的HIV-1感染模型全局性质
Global Properties for a HIV-1 Infection Model with Time Delay
摘要
Abstract
In this paper,a delayed HIV-1 infection model with time delay is reinvestigated.By applying Hale and Waltmann's persistence theory,it is shown that if the reproduction number R ＞ 1,system is permanent; By constructing Lyapunov functional,the global stability of the equilibria in the model is proved.It is found that the global dynamics of the system is completely determined by the reproduction number R.关键词
时滞/全局稳定性/Lyapunov泛函/HIV-1病毒Key words
Time delay/Global stability/Lyapunov functional/HIV-1 virus分类
数学引用本文复制引用
蔡礼明..一类具有时滞的HIV-1感染模型全局性质[J].应用数学,2011,24(3):456-461,6.基金项目
Supported by the National Natural Science Foundation of China (10971178) （10971178）
University Key Teacher Foundation of Henan Province (2009GGJS-076),the Innovative Research Team in Science and Technology in University of Henan Province (2010IRTSTHN006),the Natural Science Foundation of Henan Province (102300410022) （2009GGJS-076）
