两个异质城市间具有路途感染的SEIR传染病模型  

On Dynamics of an SEIR Epidemic Model with Transport-Related Infection between Two Heterogeneous Cities

作　　者：康萍 刘贤宁[1] KANG Ping;LIU Xian-ning(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2020年第5期7-12,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11671327).

摘　　要：建立并分析了两个异质城市间具有路途感染的SEIR传染病模型.计算得出了基本再生数R0,证得当R0<1时,存在一个全局渐近稳定的无病平衡点;当R0>1时,存在一个地方病平衡点且系统是一致持久的.An SEIR epidemic model with transport-related infection between two heterogeneous cities has been formulated and analyzed. The basic reproduction number R0 of the model been derived. If R0<1, there exists only the disease-free equilibrium which is globally asymptotically stable, and if R0>1 then there is a disease endemic equilibrium and the disease is persistent.

关 键 词：异质城市 路途感染 一致持久 

分 类 号：O175[理学—数学]