| 一类具有非单调感染率的时滞传染病模型的全局稳定性(英文) |
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| 引用本文： | 王霞,宋新宇.一类具有非单调感染率的时滞传染病模型的全局稳定性(英文)[J].生物数学学报,2010(4):593-597. |
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| 作者姓名： | 王霞 宋新宇 |
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| 作者单位： | 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（10771179）; The Scientific and Technological Project of Henan Province（092102210070）; The Youth Science Foundation of Xinyang Normal University（20100070）; The Young Backbone Teacher Foundation of Xinyang Normal University |
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| 摘 要： | 通过构造Lyapunov函数研究了一类具有非单调感染率的时滞传染病模型,并证明了该模型的无病平衡点和地方性平衡点的全局稳定性.
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| 关 键 词： | 传染病模型 时滞 非单调感染率 全局稳定性 |
Global Stability for a Delayed Epidemic Model with Non-Monotone Incidence Rate |
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| WANG Xia,SONG Xin-yu.Global Stability for a Delayed Epidemic Model with Non-Monotone Incidence Rate[J].Journal of Biomathematics,2010(4):593-597. |
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| Authors: | WANG Xia SONG Xin-yu |
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| Institution: | (College of Mathematics and Information Science,Xinyang Normal University,Xinyang Henan 464000 China) |
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| Abstract: | In this paper,we study a delayed epidemic model with non-monotone incidence rate.By using Lyapunov function,it is showed that the disease-free equilibrium and the endemic equilibrium are globally asymptotically stable whenever they exist. |
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| Keywords: | Epidemic model Time delay Non-monotonic incidence Global stability |
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