| 具有时滞和标准发生率的SIR流行病模型全局稳定性分析 |
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| 引用本文： | 藤洋洋,赵维锐,朱华平.具有时滞和标准发生率的SIR流行病模型全局稳定性分析[J].湖北民族学院学报(哲学社会科学版),2012(3):245-249,259. |
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| 作者姓名： | 藤洋洋 赵维锐 朱华平 |
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| 作者单位： | 武汉理工大学 理学院 |
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| 基金项目： | 中央高校基本科研业务费专项资金项目(2011-la-033) |
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| 摘 要： | 研究了一类具有时滞和标准发生率的SIR流行病模型的动力学性质,运用Lyapunov泛函的方法,得到了地方病平衡点和无病平衡点全局稳定的充要条件,进而揭示了时滞对平衡点稳定性的影响.
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| 关 键 词： | 时滞 Lyapunov泛函 地方病平衡点 无病平衡点 全局稳定性 |
On the Global Stability of SIR Epidemic Model with Time Delay and Standard Incidence |
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| TENG Yang-yang,ZHAO Wei-rui,ZHU Hua-ping.On the Global Stability of SIR Epidemic Model with Time Delay and Standard Incidence[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2012(3):245-249,259. |
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| Authors: | TENG Yang-yang ZHAO Wei-rui ZHU Hua-ping |
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| Institution: | (College of Science,Wuhan University of Technology,Wuhan 430070,China) |
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| Abstract: | In this paper,a SIR epidemic model with time delay and standard incidence is investigated. The global stability of the endemic equilibrium and disease free equilibrium is discussed by constructing a Lyapunov functional.The effect of time delay on the stability of the equilibrium points is also discussed. |
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| Keywords: | time delay Lyapunov functional endemic equilibrium disease free equilibrium global stability |
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