| 一类具有时滞传染病模型的稳定性 |
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| 引用本文： | 宫兆刚,阳志锋.一类具有时滞传染病模型的稳定性[J].数学的实践与认识,2010,40(17). |
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| 作者姓名： | 宫兆刚 阳志锋 |
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| 基金项目： | 衡阳师范学院科学基金青年项目 |
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| 摘 要： | 讨论了具有双时滞的SIS传染病模型.研究了一个边界平衡点的全局稳定性和正平衡点的局部稳定性,得到了传染病最终消失和成为地方病的阈值.
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| 关 键 词： | 传染病模型 时滞 局部稳定性 全局稳定性 阈值 |
Stability of A SIS Epidemic Model with Delay |
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| GONG Zhao-gang,YANG Zhi-feng.Stability of A SIS Epidemic Model with Delay[J].Mathematics in Practice and Theory,2010,40(17). |
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| Authors: | GONG Zhao-gang YANG Zhi-feng |
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| Abstract: | This paper considered a SIS epidemic model that incorporates delay.The local stability of positive equilibrium and global stability of border equilibrium are proved.The endemic threshold is found which the epidemic will endemic or die out. |
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| Keywords: | epidemic model delay local stability global stability threshold |
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