潜伏期和染病期均传染的SEIS模型的分析  

Analysis of SEIS epidemic model with transmission in both latent period and infected period

作　　者：赵海全[1] 王美娟[1] 唐春婷[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2010年第5期457-460,共4页Journal of University of Shanghai For Science and Technology

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.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.

关 键 词：流行病模型 平衡点 全局渐近稳定性 复合矩阵 

分 类 号：O175.13[理学—数学]