GLOBAL STABILITY OF AN AGE-STRUCTURED SIR EPIDEMIC MODEL WITH PULSE VACCINATION STRATEGY  

作　　者：Helong LIU Jingyuan YU Guangtian ZHU 

机构地区：[1]College of Mathematics and Information,Xinyang Normal University [2]Beijing Institute of Information and Control [3]Academy of Mathematics and System Science,Chinese Academy of Sciences

出　　处：《Journal of Systems Science & Complexity》2012年第3期417-429,共13页系统科学与复杂性学报（英文版）

基　　金：supported by Natural Science Foundation of Henan Province under Grant No.092300410206;Science and Technology Program of Educational Department of Henan Province under Grant No. 2009A110015

摘　　要：This paper discusses the application of a pulse vaccination strategy to prevent and control some infectious diseases, which is described by age-structured SIR model in which susceptible and recovered individuals are structured by chronological age, while infected individuals are structured by infection age （duration since infection）. The time dependent disease-free equilibrium is determined, for which an explicit expression exists. The analytical results show that there exists a globally stable infectiomfree situation if the impulsive period T and proportion p satisfy Ro（p,T） 〈 1. Optimal problem is discussed： Pulse vaccination strategy with minimal costs at given R0（p, T） 〈 1.

关 键 词：Impulsive differential equations impulsive period infection age infection-free situation optimal vaccination strategy. 

分 类 号：O175[理学—数学]