Global Stability in a Model for CTL Response to HTLV-I Infection  

作　　者：SONG Qiang 

机构地区：[1]Department of Mathematics and Computer Science, Xinyqng Vocational and Technical College, Xinyang464000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期618-624,共7页数学季刊（英文版）

基　　金：Supported by the Scientic and Technological Project of Henan Province(122300410034,132300410344);Supported by the the Universities Young Teachers Program of Henan Province(2010GGJS-104)

摘　　要：In this paper, a mathematical model for HTLV-I infection of CD4＋ T cells that incorporates the CD8＋ cytotoxic T-cell（CTL） response is studied. We establish two threshold parameters Ro and R1, the basic reproduction numbers for viral persistence and for CTL response, respectively. We also show that the parameter R1 can be used to distinguish asymptomatic carriers from HAM/TSP patients and as an important control parameter for preventing the development of HAM/TSP.

关 键 词：CTL response HTLV-I infection global stability Lyapunov function 

分 类 号：O175.1[理学—数学]