| 一类带有非线性传染率的SEIR模型的全局分析 |
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| 引用本文： | 孙法国,李海赟,张虹.一类带有非线性传染率的SEIR模型的全局分析[J].纺织高校基础科学学报,2012,25(3):309-313. |
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| 作者姓名： | 孙法国 李海赟 张虹 |
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| 作者单位： | 西安工程大学 理学院,陕西 西安,710048 |
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| 基金项目： | Suppourted by the Nature Science Foundation of China(11101323) |
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| 摘 要： | 建立了一类带有非线性传染率βSφ（I）的SEIR传染病模型,得到了疾病是否会成为地方病的基本再生数,利用Lassalle不变原理证明了无病平衡点的全局渐进稳定和地方病平衡点的渐进稳定性.
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| 关 键 词： | Lassalle不变原理 基本再生数 Lyapunov函数 地方病平衡点 全局稳定性 |
Global analysis of a SEIR epidemic model with nonlinear incidence rate |
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| SUN Fa-guo
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LI Hai-yun
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ZHANG Hong.Global analysis of a SEIR epidemic model with nonlinear incidence rate[J].Basic Sciences Journal of Textile Universities,2012,25(3):309-313. |
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| Authors: | SUN Fa-guo LI Hai-yun ZHANG Hong |
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| Affiliation: | (School of Science,Xi′an Polytechnic University,Xi′an 710048,China) |
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| Abstract: | A SEIR epidemic model with nonlinear incidence rate β S φ(I) was established,and it was obtained that the basic reproduction number determining whether the disease becomes endemic disease.The global stability of the disease-free was proved by Lassalle′s invariant principle,and the stability of endemic equilibria was proved. |
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| Keywords: | Lassalle′s invariant principle basic reproduction number Lyapunov function endemic equilibrium global stability |
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