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一类具有细胞免疫和吸收效应的时滞病毒动力学模型(英文)
引用本文:王霞,谢艳丽,宋新宇.一类具有细胞免疫和吸收效应的时滞病毒动力学模型(英文)[J].应用数学,2012,25(2):375-381.
作者姓名:王霞  谢艳丽  宋新宇
作者单位:信阳师范学院数学与信息科学学院,河南信阳,464000
基金项目:Supported by the National Natural Science Foundation of China(11171284);the National Science Foundation of the Education Department of Henan Province(2010B110021)
摘    要:本文主要研究一类具有细胞免疫和吸收效应的时滞病毒动力学模型.通过构造Lyapunov泛函,证明当R0≤1,R1 ≤1
关 键 词:细胞免疫  时滞  全局吸引  吸收  Lyapunov泛函

A Delayed Virus Dynamics Model with Cell-mediated Immunity and Absorption
WANG Xia , XIE Yanli , SONG Xinyu.A Delayed Virus Dynamics Model with Cell-mediated Immunity and Absorption[J].Mathematica Applicata,2012,25(2):375-381.
Authors:WANG Xia  XIE Yanli  SONG Xinyu
Institution:(College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China)
Abstract:A delayed virus dynamics model with cell-mediated immune and absorption is investigated in this paper.By constructing Lyapunov functionals,we show that the global attractivities of the disease-free equilibrium E0,the immune-free equilibrium E1 and the interior equilibrium E2 when R0≤1,R1≤1
Keywords:Cell-mediated-immune  Delay  Global attractivity  Absorption  Lyapunov functional
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