| 具有垂直传染的SEIA传染病模型的稳定性 |
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| 引用本文： | 王娟,赵英丽.具有垂直传染的SEIA传染病模型的稳定性[J].数学的实践与认识,2012,42(10):205-210. |
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| 作者姓名： | 王娟 赵英丽 |
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| 作者单位： | 1. 北京信息控制研究所,北京100048;信阳师范学院数学与信息科学学院,河南信阳464000
2. 河南农业职业学院基础科学系,河南郑州,451450 |
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| 摘 要： | 建立和研究一类具有垂直传染的SEIA传染病模型,得到模型基本再生数R0的表达式,运用Lyapunov函数和第二加性复合矩阵理论证明了当R0〈1时无病平衡点全局渐近稳定,当R0〉1时地方病平衡点全局渐近稳定.
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| 关 键 词： | SEIA传染病模型 垂直传染 地方病平衡点 全局渐近稳定性 |
Stability Analysis of an SEIA Epidemic Models with Vertical Transmission |
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| WANG Juan
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ZHAO Ying-li.Stability Analysis of an SEIA Epidemic Models with Vertical Transmission[J].Mathematics in Practice and Theory,2012,42(10):205-210. |
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| Authors: | WANG Juan ZHAO Ying-li |
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| Institution: | 1.Beijing Institute of Information Control,Beijing 100048,China) (2.Department of Mathematics,Xinyang Normal University,Xinyang 464000,China) (3.Department of Basic Sciences,Henan Vocational College of Agriculture,Zhengzhou 451450,China) |
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| Abstract: | An SEIA epidemic model with vertical transmission is formulated and studied in this paper.The explicit expression of the basic reproduction number is obtained,by using the Lyapunov function method and the geometric method,the globally asymptotical stabilities of disease-free and endemic equilibria are proved under certain conditions. |
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| Keywords: | SEIA endemic model vertical transmission endemic equilibrium globally asymptotical stability |
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