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一类带有ATL反应和治愈率的传染病模型的全局稳定性研究(英文)
引用本文:王霞,刘夏斐,宋新宇.一类带有ATL反应和治愈率的传染病模型的全局稳定性研究(英文)[J].生物数学学报,2010(2):202-208.
作者姓名:王霞  刘夏斐  宋新宇
作者单位:[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]信阳农业高等专科学校,河南信阳464000
基金项目:Supported by the National Natural Science Foundation of China (10771179), the Natural Science Foundation of the Education Department of Henan Province (2010Bl10021), and tile Backbone Youth teacher Foundation of Xinyang Normal University.
摘    要:主要介绍一类具有饱和传染率和治愈率的ATL反应的病毒模型,通过稳定性分析,得到了地方病平衡态的全局稳定的条件.

关 键 词:全局稳定性  ATL反应  周期轨道  Lyapunov函数

Study the Global Stability of an Epidemic Model for ATL Progression with Cure Rate
WANG Xia,LIU Xia-fei,SONG Xin-yu.Study the Global Stability of an Epidemic Model for ATL Progression with Cure Rate[J].Journal of Biomathematics,2010(2):202-208.
Authors:WANG Xia  LIU Xia-fei  SONG Xin-yu
Institution:1 College of Mathematics and Information Science, Xinyang Normal University, Xinyang Henan 464000 China) (2 Xinyang Agricultural college, Xinyang Henan 464000 China)
Abstract:In this paper, we investigate an epidemic model for ATL progression with saturation response of the infection rate and cure rate. By stability analysis we obtain the condition for the property of stability of the unique endemically infected steady-state.
Keywords:Global stability  ATL progression  Periodic orbits  Lyapunov function
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