| 具有非单调发生率SEIS流行病模型的全局稳定性分析 |
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| 引用本文： | 李学志,李文生.具有非单调发生率SEIS流行病模型的全局稳定性分析[J].信阳师范学院学报(自然科学版),2008,21(2):172-174. |
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| 作者姓名： | 李学志 李文生 |
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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： | 国家自然科学基金
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河南省自然科学基金 |
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| 摘 要： | 研究了具有非单调发生率的流行病模型,非单调发生率刻画了某种传染病随着感染人数的增多人们的心理反映对疾病传播的影响.通过对无病平衡点和地方病平衡点的全局稳定性分析,给出了随着时间的推移,疾病灭绝或持续存在的阈值条件.
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| 关 键 词： | SEIS流行病模型 非单调发生率 心理效应 全局稳定性 epidemic nonmonotonic incidence psychological effect global stability 非单调 发生率 流行病 模型 全局稳定性 分析 Incidence Rate Nonmonotone Epidemic Model Analysis zero time evolves serious diseases epidemic model study stability endemic equilibrium paper nonmonotonic |
Global Analysis of an SEIS Epidemic Model with Nonmonotone Incidence Rate |
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| LI Xue-zhi,LI Wen-sheng.Global Analysis of an SEIS Epidemic Model with Nonmonotone Incidence Rate[J].Journal of Xinyang Teachers College(Natural Science Edition),2008,21(2):172-174. |
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| Authors: | LI Xue-zhi LI Wen-sheng |
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| Abstract: | This paper considers an epidemic model with nonmonotonic incidence rate which describes the psycho-logical effect of certain serious diseases on the community when the number of infectives is getting larger.With a globalanalysis of the model and study of the stability of the disease-free equilibrium and the endemic equilibrium,it is shownthat either the number of infective individuals tends to zero as time evolves or the disease persists. |
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| Keywords: | epidemic nonmonotonic incidence psychological effect global stability |
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