一类具有CTL免疫和时滞的HTLV-I传染病模型的动力学性质(英文)  

Dynamical Behavior of a Delayed HTLV-I Infection Model with CTL Response

作　　者：任鹏[1] 王霞[2] 

机构地区：[1]河南工程学院数理科学系,河南郑州451191 [2]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《生物数学学报》2012年第3期406-412,共7页Journal of Biomathematics

基　　金：Supported by the National Natural Science Foundation of China(No.11171284)

摘　　要：主要研究了一类具有CTL免疫和时滞的HTLV-I传染的数学模型.通过构造Lyapunov泛函,分别证明了当R_0≤1,R_1≤1<R_0,R1>1时,系统(1.1)的无病平衡点E_0,无免疫平衡点E_1及地方病平衡点E_2是全局吸引的.A mathematical model for HTLV-I infection with CTL response and intracellular delay is investigated in this paper.By constructing Lvapunov functionals, we obtained if R_0≤1,R_1≤1R_0,R_11.the infection-free equilibrium E_0,the immune-free equilibrium E_1 and the chronic-infection equilibrium E_2 of system（1.1） are globally asymptotically attractive,respectively.

关 键 词：HTLV-I感染 时滞 LYAPUNOV泛函 全局吸引 

分 类 号：O175.1[理学—数学]