| 具有时滞和阶段结构的SIS传染病模型的稳定性 |
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| 引用本文： | 宫兆刚,蔡江涛,阳志峰.具有时滞和阶段结构的SIS传染病模型的稳定性[J].衡阳师专学报,2011(3):10-16. |
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| 作者姓名： | 宫兆刚 蔡江涛 阳志峰 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳421008 |
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| 基金项目： | 湖南省教育厅科研基金资助项目（10C0490） |
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| 摘 要： | 文章讨论了具有阶段结构并且含有时滞的SIS传染病模型的稳定性,研究了两个边界平衡点的稳定性及地方病平衡点的局部稳定性,同时对所讨论的结果进行了数值仿真。
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| 关 键 词： | 传染病模型 平衡点 局部稳定性 全局稳定性 阈值 |
Stability of a SIS Epidemic Model with Stage-Structure and Delay |
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| GONG Zhao-gang,CAI Jiang-tao,YANG Zhi-feng.Stability of a SIS Epidemic Model with Stage-Structure and Delay[J].Journal of Hengyang Normal University,2011(3):10-16. |
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| Authors: | GONG Zhao-gang CAI Jiang-tao YANG Zhi-feng |
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| Institution: | (Department of Mathematics and Computation Science,Hengyang Normal University,Hengyang Hunan 421008,China) |
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| Abstract: | This paper exploves a SIS epidemic model that incorporates stage-structure and delay.and the local stability and global stability of two border equilibriums and positive equilibrium are proved,and the endemic threshold is found which the epidemic will endemic or die out.Also,some numerical simulations are provided to confirm our analytic results. |
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| Keywords: | epidemic model equilibrium local stability global stability threshold |
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