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

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

作     者:Xuezhi LI Jing CHEN Xuezhi LI Department of Mathematics,Xinyang Teachers College,Xinyang 464000,China.Jing CHEN College of Science,China Agriculture University,Beijing 100080,China.

作者机构:Department of Mathematics Xinyang Teachers College Xinyang 464000 China College of Science China Agriculture University Beijing 100080 China 

出 版 物:《Journal of Systems Science & Complexity》 (系统科学与复杂性学报(英文版))

年 卷 期:2006年第19卷第1期

页      面:114-127页

核心收录:

学科分类:1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 10[医学] 

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) 

主  题:Age structure positive endemic state SEIR epidemic model threshold value vertical transmission. 

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.

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