| 一类具有非线性传染率的SEIS传染病模型的定性分析 |
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| 引用本文： | 郭金生,祝进业,唐玉玲.一类具有非线性传染率的SEIS传染病模型的定性分析[J].贵州大学学报(自然科学版),2013(5):4-8. |
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| 作者姓名： | 郭金生 祝进业 唐玉玲 |
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| 作者单位： | 河西学院数学与统计学院,甘肃张掖734000 |
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| 基金项目： | 国家自然科学基金（11061017）;甘肃省自然科学基金（1010RJZA075） |
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| 摘 要： | 讨论了一类具有非线性传染率的SEIS传染病模型，通过定性分析，得到了传染病最终消失和成为地方病的闽值R0，并讨论了当R0≤1时，无病平衡点的全局渐近稳定性，当R0〉1时唯一的地方病平衡点的全局渐近稳定性。
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| 关 键 词： | 传染病模型 全局稳定性 非线性传染率 |
A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate |
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| GUO Jin-sheng,ZHU Jin-ye,TANG Yu-ling.A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate[J].Journal of Guizhou University(Natural Science),2013(5):4-8. |
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| Authors: | GUO Jin-sheng ZHU Jin-ye TANG Yu-ling |
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| Institution: | ( School of Mathematics and Statistics, Hexi University,Zhangye 734000, China) |
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| Abstract: | This paper discusses a kind of epidemic model SEIS with nonlinear incidence rate, through the qualitative analysis, a threschold Ro which determines the epidemic will disappear and become endemic is obtained, If R0≤ 1 , the disease-free equilibrium is globally asymptotically stable. If R0 〉 1 , the unique endemic equilibrium is globally asymptotically stable. |
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| Keywords: | epidemic model global stability nonlinear incidence rate |
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