Analysis of an Epidemic Model with Age of Vaccination  

作　　者：GUO Shu-li DING Feng-xia 

机构地区：[1]Department of Mathematics, Xinyang Normal University, Xinyang 464000, China [2]Departmentof Mathematics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou450011, China

出　　处：《Chinese Quarterly Journal of Mathematics》2006年第4期545-552,共8页数学季刊（英文版）

基　　金：Supported by the NSF of China（10371105）; Supported by the Youth Science Foundation of Xinyang Normal University（20060202）

摘　　要：A simple SI epidemic model with age of vaccination is discussed in this paper.Both vexing birth rate, the mortality rate caused by disease and vaccine waning rate areconsidered in this model. We prove that the global dynamics is completely determined bythe basic reproductive number R（ψ）（ψ denotes per capita vaccination rate）. If R（0） 〈 1,the disease-free equilibrium is a global attractor; If R（ψ） 〈： 1, the disease-free equilibriumis locally asymptotically stable; If R（ψ） ：〉 1, an unique endemic equilibrium exists and islocally asymptotically stable under certain condition.

关 键 词：SI model VACCINATION EQUILIBRIUM STABILITY 

分 类 号：O17[理学—数学]