摘要
这份报纸讨论脉搏种痘策略的申请阻止并且控制传染疾病，它被组织年龄的先生描述在易受影响、恢复的个人到按年代先后的年龄在哪个被组织建模的一些，当感染的个人到感染年龄被组织时(持续时间自从感染) 。依赖没有疾病的平衡被决定的时间，为哪个明确的表情存在。分析结果证明那在那里存在一种全球性稳定的没有感染的状况如果冲动的时期 T 和比例 p 满足 R 0 (p， T )< 1。最佳的问题被讨论：有在给定的 R 0 的最小的费用的脉搏种痘策略(p， T )< 1。
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.
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
