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一类具有非线性传染率SEIS传染病模型动力学分析 被引量：1

Dynamic analysis of a SEIS epidemic model with nonlinear contagious rate
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摘要 文章考虑一类具有非线性传染率且人口有输入输出的传染病模型,得到疾病控制的阀值:基本再生数R0.当R0<1时,无病平衡点是全局渐进稳定的,且疾病最终灭绝;当R0>1时,无病平衡点不稳定,而唯一的地方病平衡点是局部渐进稳定的. In this paper, considering a SEIS epidemic mode with nonlinear contagious rate, the threshold data Ro is obtained, which determines the existence of an infectious disease. When R0 〈 1 , diseasefree k0 equilibrium is globally and asymptotically stable. When Ro 〉 1 , the disease - free equilibrium ko is unstable and the unique endemic equilibrium K＊ is locally and asymptotically stable.
作者 张永成 雒志学
机构地区 兰州交通大学数理学院数学系
出处 《重庆文理学院学报（社会科学版）》 2013年第3期13-15,共3页 Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)
关键词 传染病模型 平衡点 稳定性 阀值 epidemic model equilibrium point stability threshold
分类号 O175.1 [理学—基础数学]
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参考文献6

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重庆文理学院学报（社会科学版）
2013年 第3期

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