具有垂直传染的SIR脉冲预防接种模型  

An SIR Epidemic Disease Model with Vertical Transmission and Pulse Vaccination

作　　者：赵文才[1] 孟新柱[1] 

机构地区：[1]山东科技大学理学院,山东青岛266510

出　　处：《应用数学》2009年第3期676-682,共7页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10771179);山东科技大学"春蕾计划"项目(2008BWZ076)

摘　　要：研究了一类具有垂直传染的脉冲免疫接种SIR模型,采用传染率βI(1+vI)S,得到了无病周期解,给出了此周期解的全局稳定性分析.并获得了系统一致持续生存的条件.In this paper,an SIR epidemic disease model with vertical transmission and pulse vaccination is investigated.Used an incidence rate of the form βI(1+vI)S,an 'infection-free' periodic solution is obtained,and the analysis of global stability of the 'infection-free' periodic solution is given.Furthermore,the sufficient condition for permanence of the system is obtained.

关 键 词：垂直传染 脉冲免疫接种 周期解 全局渐近稳定性 持久性 

分 类 号：O175[理学—数学]