| 一类具有非线性饱和传染率的传染病模型分析 |
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| 引用本文： | 张拥军,王美娟,徐金瑞. 一类具有非线性饱和传染率的传染病模型分析[J]. 上海理工大学学报, 2010, 32(5) |
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| 作者姓名： | 张拥军 王美娟 徐金瑞 |
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| 作者单位： | 上海理工大学 理学院, 上海200093;上海理工大学 理学院, 上海200093;上海理工大学 理学院, 上海200093 |
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| 摘 要： | 讨论了一类具有非线性饱和传染率的传染病模型,确定了无病平衡点和地方病平衡点存在的条件.利用不变集原理得到了各类平衡点局部或全局渐近稳定的条件.
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| 关 键 词： | 平衡点 饱和传染率 Hurwitz判据 全局渐近稳定性 |
Analysis on an epidemic model with non linear saturated incidence rate |
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| ZHANG Yong jun,WANG Mei juan and XU Jin rui. Analysis on an epidemic model with non linear saturated incidence rate[J]. Journal of University of Shanghai For Science and Technology, 2010, 32(5) |
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| Authors: | ZHANG Yong jun WANG Mei juan XU Jin rui |
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| Abstract: | Based on the study on an epidemic model with non linear saturated incidence rate,the conditions for existence of disease free equilibrium point and endemic equilibrium point were found.By using the largest invariant set principle,the conditions for local or global asymptotic stability of equilibrium points were also found. |
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| Keywords: | equilibrium saturated incidence Hurwitz criterion global asymptotic stability |
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