一类具有隔离的脉冲免疫接种SIQR传染病模型的全局动力学行为  

Global Dynamics Behaviors of an SIQR Epidemic Disease Model with Quarantine and Pulse Vaccination

作　　者：赵文才[1] 

机构地区：[1]山东科技大学理学院,山东青岛266510

出　　处：《数学的实践与认识》2009年第17期78-85,共8页Mathematics in Practice and Theory

基　　金：山东科技大学"春蕾计划"项目(2008BWZ076);山东省软科学研究计划项目(2009RKB153)

摘　　要：建立了一类具有隔离和垂直传染的SIQR传染病模型,在脉冲免疫接种条件下,分析了其全局动力学行为.利用频闪映射,获得了无病周期解,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.An SIQR epidemic disease model with quarantine and vertical transmission is formulated, and the global dynamics behaviors of the model under pulse vaccination are analyzed. By use of the stroboscopic map, 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：隔离 脉冲免疫接种 垂直传染 全局渐近稳定性 持久性 

分 类 号：R181.3[医药卫生—流行病学] O175[医药卫生—公共卫生与预防医学]