EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL  

作　　者：Xuezhi LI Jing CHEN 

机构地区：[1]Department of Mathematics, Xinyang Teachers College, Xinyang 464000, China [2]College of Science, China Agriculture University, Beijing 100080, China

出　　处：《Journal of Systems Science & Complexity》2006年第1期114-127,共14页系统科学与复杂性学报（英文版）

基　　金：Supported by the Natural Science Foundation of Henan Province(No.0312002000 and No.0211044800);the National Natural Science Foundation of China(No.10371105).

摘　　要：An age-structured SEIR epidemic model of a vertically as well as horizontally transmitted disease is investigated. Threshold results for the existence of endemic states are established for most cases. Under certain conditions, uniqueness is also shown. Threshold used are explicitly computable in term of demographic and epiderniological parameters of the model.

关 键 词：Age structure positive endemic state SEIR epidemic model threshold value vertical transmission. 

分 类 号：R18[医药卫生—流行病学]