| 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) |
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| 引用本文： | 任鹏,王霞.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)[J].生物数学学报,2012(3):406-412. |
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| 作者姓名： | 任鹏 王霞 |
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| 作者单位： | [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 |
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| 基金项目： | Supported by the National Natural Science Foundation of China（No.11171284） |
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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R0≤1,R1≤10,R1>1时,系统（1.1）的无病平衡点E0,无免疫平衡点E1及地方病平衡点E2是全局吸引的.
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| 关 键 词： | HTLV-I感染 时滞 Lyapunov泛函 全局吸引 |
Dynamical Behavior of a Delayed HTLV-I Infection Model with CTL Response |
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| REN Peng,WANG Xia.Dynamical Behavior of a Delayed HTLV-I Infection Model with CTL Response[J].Journal of Biomathematics,2012(3):406-412. |
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| Authors: | REN Peng WANG Xia |
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| Institution: | 1 Department of Mathematic and Physical Science,Henan Institute of Engineering, Zhengzhou Henan 451191 China) (2 College of Mathematics and Information Science,Xinyang Normal University Xinyang,Xinyang Henan 464000 China) |
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| Abstract: | 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. |
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| Keywords: | HTLV-I infection：Delay Lyapunov functional Global attractive |
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