| 一类SIRS 传染病模型的新Lyapunov 函数 |
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| 引用本文： | 汤倩,滕志东.一类SIRS 传染病模型的新Lyapunov 函数[J].新疆大学学报(理工版),2014(4):398-403. |
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| 作者姓名： | 汤倩 滕志东 |
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| 作者单位： | 新疆大学 数学与系统科学学院,新疆 乌鲁木齐,830046 |
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| 摘 要： | 通过建立新的Lyapunov 函数研究了两类SIRS 传染病动力学模型,得到了两类模型的地方病平衡点的全局渐近稳定性。所得结果分别改进了文献1,2]中的相关结论。
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| 关 键 词： | SIRS传染病模型 地方病平衡点 全局渐近稳定性 Lyapunov函数 |
New Lyapunov Functions for a Class of SIRS Epidemic Models |
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| TANG Qian,TENG Zhi-dong.New Lyapunov Functions for a Class of SIRS Epidemic Models[J].Journal of Xinjiang University(Science & Engineering),2014(4):398-403. |
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| Authors: | TANG Qian TENG Zhi-dong |
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| Institution: | (College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China) |
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| Abstract: | In this paper, we investigate two classes of SIRS epidemic models with varying population size. By constructing new Lyapunov functions, the global asymptotic stability of the endemic equilibrium for these epidemic models is obtained. The results improve the relevant conclusions in 1,2]. |
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| Keywords: | SIRS epidemic model endemic equilibrium global stability Lyapunov function |
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