应用数学2008，Vol.21Issue(3)：449-456,8.
一类带有治愈率的HIV感染的CD4+T细胞模型的动力学性质
Global Dynamics of a Model for HIV Infection of CD4+ T Cells with Cure Rate
摘要
Abstract
In this paper,we propose a mathematical model for HIV infection of CD4+T cells with cure rate.Global dynamics of the model is rigorously established.We prove that,if the basic reproduction number R0＜1,the HIV infection is cleared from the T-cell population;if R0＞1,the HIV infection persists.For an open set of parameter values,the chronic-infection equilibrium E* can be unstable and periodic solutions may exist.We establish parameter regions for which E* is globally stable.关键词
全局动力学/周期解/HIV感染/CD4+T细胞/治愈率Key words
Global dynamics/Periodic solution/HIV infection/CD4+T cells/Cure rate分类
数理科学引用本文复制引用
王霞,江晓武,宋新宇..一类带有治愈率的HIV感染的CD4+T细胞模型的动力学性质[J].应用数学,2008,21(3):449-456,8.基金项目
Supported by the National Natural Science Foundation of China (10471117),the Henan Innovation Project for University Prominent Research Talents(2005KYCX017) and the Youth Science Foundation of Xinyang Normal University(20070209) （10471117）
