| SEIRS型传染病模型的全局稳定性 |
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| 引用本文： | 柏灵,王克.SEIRS型传染病模型的全局稳定性[J].东北数学,2002,18(3):233-244. |
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| 作者姓名： | 柏灵 王克 |
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| 作者单位： | BAI Ling (Institute of Mathematics，Jilin University，Changchun，130012)WANG Ke (Department of Mathematics，Northeast Normal University，Changchun，130024) |
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| 基金项目： | The NNSF (10171010) of China，Major Project of Education Ministry (01061) of China, Key Library for Vegetation Ecology, Education Ministry of China. |
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| 摘 要： | In this article, an infectious model with saturation effect is considered. By using compound matrix theory and a series of theorems associated to qualitative theory of differential equations which are introduced by Muldowney and Micheal Li, we study globally stable problem of the model.
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| 关 键 词： | 全局稳定性 SEIRS型传染病模型 Lozinskii测度 复合矩阵 微分方程 持久性 定性分析 饱和效应 |
Global Stability of SEIRS Model in Epidemiology |
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| BAI Ling.Global Stability of SEIRS Model in Epidemiology[J].Northeastern Mathematical Journal,2002,18(3):233-244. |
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| Authors: | BAI Ling |
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| Institution: | [1]InstituteofMathematics,JilinUniversity,Changchun,130012 [2]DepartmentofMathematics,NortheastNormalUniversity,Changchun,130024 |
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| Abstract: | In this article,an infectious model with saturation effect is considered,By using compound matrix theory and a series of theorems associated to qualitative theory of differential equations which are introduced by Muldowney and Micheal Li,we study globally stable problem of the model. |
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| Keywords: | SEIRS infectious disease model persistence compound matrix Lozin-skii measure global stability |
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