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一类具有非线性传染率的SEIS传染病模型的定性分析 被引量：8

A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate
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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阈值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。 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.
作者 郭金生 祝进业 唐玉玲
机构地区 河西学院数学与统计学院
出处 《贵州大学学报（自然科学版）》 2013年第5期4-8,共5页 Journal of Guizhou University:Natural Sciences
基金 国家自然科学基金(11061017) 甘肃省自然科学基金(1010RJZA075)
关键词 传染病模型 全局稳定性 非线性传染率 epidemic model global stability nonlinear incidence rate
分类号 O175 [理学—基础数学]
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参考文献8

二级参考文献17

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共引文献15

同被引文献43

引证文献8

二级引证文献15

贵州大学学报（自然科学版）
2013年 第5期

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