| 一类具有标准发生率的SIS型传染病模型的全局稳定性 |
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| 引用本文： | 徐金瑞,王美娟,张拥军.一类具有标准发生率的SIS型传染病模型的全局稳定性[J].生物数学学报,2010(2):249-256. |
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| 作者姓名： | 徐金瑞 王美娟 张拥军 |
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| 作者单位： | [1]东莞第四高级中学,广东东莞523220 [2]上海理工大学理学院,上海200093 |
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| 摘 要： | 研究一类具有标准发生率的SIS传染病模型,讨论了各类平衡点存在的条件;运用微分方程的定性理论,得到了无病平衡点E_1和地方病平衡点E_2的全局渐近稳定的充分条件.
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| 关 键 词： | SIS传染病模型 标准发生率 平衡点 全局稳定性 |
Global Stability of an SIS Epidemic Model with Standard Incidence Rate |
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| XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun.Global Stability of an SIS Epidemic Model with Standard Incidence Rate[J].Journal of Biomathematics,2010(2):249-256. |
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| Authors: | XU Jin-rui WANG Mei-juan ZHANG Yong-jun |
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| Institution: | 1 Dongguan NO.4 Senior High School, Dongguan Guangdong 523220 China) (2 College of Science, University of Shanghai for Science and Technology, Shanghai 200093 China) |
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| Abstract: | It discussed a SIS epidemic model with standard incidence rate. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the global asymptotic stability of disease-free equilibrium and endemic equilibrium. |
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| Keywords: | SIS epidemic model Standard incidence Equilibrium Global stability |
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