| 潜伏期和染病期均传染的SEIS模型的分析 |
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| 引用本文： | 赵海全,王美娟,唐春婷. 潜伏期和染病期均传染的SEIS模型的分析[J]. 上海理工大学学报, 2010, 32(5) |
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| 作者姓名： | 赵海全 王美娟 唐春婷 |
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| 作者单位： | 上海理工大学 理学院, 上海200093;上海理工大学 理学院, 上海200093;上海理工大学 理学院, 上海200093 |
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| 摘 要： | 研究了潜伏期和染病期均传染的SEIS模型.给出了各类平衡点存在的条件阈值,证明了无病平衡点全局渐近稳定性的条件,并且利用第二加性复合矩阵给出了地方平衡点的存在性和全局渐近稳定性的充分条件.
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| 关 键 词： | 流行病模型 平衡点 全局渐近稳定性 复合矩阵 |
Analysis of SEIS epidemic model with transmission in both latent period and infected period |
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| ZHAO Hai quan,WANG Mei juan and TANG Chun ting. Analysis of SEIS epidemic model with transmission in both latent period and infected period[J]. Journal of University of Shanghai For Science and Technology, 2010, 32(5) |
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| Authors: | ZHAO Hai quan WANG Mei juan TANG Chun ting |
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| Abstract: | A kind of SEIS epidemic models with transmission in both latent period and infected period was studied.The threshold for the existence condition of all kinds of equilibriums were identified,the global asymptotic stability of disease free equilibrium was proved,and the sufficient condition for the existence and the global asymptotic stability of the endemic equilibrium point was also proved by use of the second compound matrix. |
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| Keywords: | epidemic model equilibrium global asymptotic stability compound matrix |
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