| 一类双线性SEIQS模型的定性分析 |
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| 引用本文： | 崔宁.一类双线性SEIQS模型的定性分析[J].河北建筑工程学院学报,2014(4):113-115. |
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| 作者姓名： | 崔宁 |
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| 作者单位： | 河北建筑工程学院数理系,河北张家口075000 |
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| 摘 要： | 对一类具有双线性传染率的SEIQS模型进行了研究,得到了系统的基本再生数R0.结果表明:R0≤1时疾病消失,无病平衡点全局渐近稳定;当R01时病毒持续存在,系统存在唯一的地方病平衡点并且全局渐近稳定.最后通过仿真验证了系统极限环的存在性.
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| 关 键 词： | SEIQS模型 基本再生数 Lyapunov函数 全局渐近稳定 |
Dynamics analysis of an SEIQS epidemic model |
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| CUI Ning.Dynamics analysis of an SEIQS epidemic model[J].Journal of Hebei Institute of Architectural Engineering,2014(4):113-115. |
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| Authors: | CUI Ning |
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| Affiliation: | CUI Ning (Department of Mathematics and Sciences, Hebei Institute of Architecture＆Civil Engineering,Zhangjiakou,075000) |
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| Abstract: | In this paper,we discusses an SEIQS epidemic model with bilinear incidence rate.The explicit formula of the reproductive number is obtained.It is shown that the disease-free equilibrium is globally stable and the disease always dies out if,it is unstable if,in this case,there exists a unique globally asymptotically endemic equilibrium in the interior of the feasible region and the disease persists at the endemic equilibrium.Finally,numerical simulations verify the existence of limit cycle of the systems. |
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| Keywords: | SEIQS epidemic model Reproductive number Lyapunov function Global stability |
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