| 具有饱和发生率的SIRS传染病模型的稳定性 |
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| 引用本文： | 崔倩倩,张强,杨霞.具有饱和发生率的SIRS传染病模型的稳定性[J].石河子大学学报,2013(6):789-791. |
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| 作者姓名： | 崔倩倩 张强 杨霞 |
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| 作者单位： | 石河子大学理学院,石河子832003 |
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| 基金项目： | 国家自然科学基金项目（11201399） |
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| 摘 要： | 研究了一类饱和发生率且各类都具有常数输入的SIRS型传染病模型，通过构造合适的Lyapunov函数，在一定条件下得到了模型地方病平衡点的全局渐近稳定性。
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| 关 键 词： | 饱和发生率 渐近稳定性 Lyapunov函数 |
Stability Analysis for an SIRS Epidemic Model with Saturation Incidence |
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| CUI Qianqian,ZHANG Qiang,YANG Xia.Stability Analysis for an SIRS Epidemic Model with Saturation Incidence[J].Journal of Shihezi University(Natural Science),2013(6):789-791. |
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| Authors: | CUI Qianqian ZHANG Qiang YANG Xia |
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| Institution: | (College of Science, Shihezi University, Shihezi 832003, China) |
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| Abstract: | A class of SIRS epidemic model with saturation incidence and constant input number is researched. By constructing suitable Lyapunov function,under certain conditions,we get the global asymptotic stability of the endemic equilibrium for this model. |
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| Keywords: | saturation incidence asymptotic stability Lyapunov function |
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