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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) 被引量：1

Dynamical Behavior of a Delayed HTLV-I Infection Model with CTL Response
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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.
作者 任鹏 王霞
机构地区 河南工程学院数理科学系 信阳师范学院数学与信息科学学院
出处 《生物数学学报》 CSCD 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)
关键词 HTLV-I感染 时滞 LYAPUNOV泛函 全局吸引 HTLV-I infection：Delay Lyapunov functional Global attractive
分类号 O175.1 [理学—基础数学]
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生物数学学报
2012年 第3期

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