| 一类具有非线性发生率的时滞SIR模型的稳定性分析 |
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| 引用本文： | 郭艳芬,孙静.一类具有非线性发生率的时滞SIR模型的稳定性分析[J].北京工业职业技术学院学报,2014,13(4):32-34. |
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| 作者姓名： | 郭艳芬 孙静 |
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| 作者单位： | 北京工业职业技术学院基础教育学院,北京,100042;北京工业职业技术学院基础教育学院,北京,100042 |
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| 基金项目： | 2014年北京工业职业技术学院科研课题 |
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| 摘 要： | 传染病是现实世界中普遍存在的重要现象之一.考虑了一类具有时滞和非线性发生率的SIR模型.通过对特征根的分布进行分析,讨论了平衡点的稳定性,给出系统稳定和不稳定的充要条件.
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| 关 键 词： | SIR模型 时滞 非线性发生率 稳定性 |
Stability Analysis in a Delay SIR Model with Nonlinear Incidence Rate |
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| Guo Yanfen,Sun Jing.Stability Analysis in a Delay SIR Model with Nonlinear Incidence Rate[J].Journal of beijing vocational & technical institute of industry,2014,13(4):32-34. |
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| Authors: | Guo Yanfen Sun Jing |
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| Institution: | Guo Yanfen Sun Jing ( School of Fundamental Education, Beijing Polytechnic College, Beijing 100042, China) |
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| Abstract: | Infectious disease is one of the important phenomena in the real world. A time-delayed SIR model is considered. The existence of Hopf bifurcations at the endemic equilibrium and stability in the free-disease equilibrium and the endemic equilibrium are established by analyzing the distribution of the character is tic values. |
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| Keywords: | SIR model time delay nonlinear incidence rate stability |
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