首页 | 本学科首页   官方微博 | 高级检索  
     


A differential equation model of HIV infection of CD4T-cells with cure rate
Authors:Xueyong Zhou  Xiangyun Shi
Affiliation:a Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China
b College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan, PR China
Abstract:A differential equation model of HIV infection of CD4+T-cells with cure rate is studied. We prove that if the basic reproduction number R0<1, the HIV infection is cleared from the T-cell population and the disease dies out; if R0>1, the HIV infection persists in the host. We find that the chronic disease steady state is globally asymptotically stable if R0>1. Furthermore, we also obtain the conditions for which the system exists an orbitally asymptotically stable periodic solution. Numerical simulations are presented to illustrate the results.
Keywords:HIV   Globally asymptotical stability   Periodic solution
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号