一类具有连续接种的自治SEIR传染病模型  

A Kind of Autonomous SEIR Epidemic Model of Continuous Vaccination

作　　者：李冬梅[1] 卢旸[1] 刘伟华[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2013年第1期67-72,共6页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然科学基金(A200502);黑龙江省教育厅科学技术研究项目(12521099)

摘　　要：研究了一类具有连续接种的时滞SEIR传染病模型.在该模型中假设对所有的新生儿都进行连续接种,考虑了分布时滞,饱和接触率对传染病模型的影响.通过分析,得到了无病平衡点和地方病平衡点存在的阈值,利用Liapunov-Lasalle不变性原理得到了无病平衡点的全局稳定性,运用比较原理,得到了模型持久性的充分条件.This paper studies a class of continuous suming that all newborns for continuous vaccination, vaccination delay SEIR epidemic model. In this model, as- taking into account the distribution of delay, saturating contact rate of the impact of infectious disease model. Through analysis, we find the threshold of disease-free equilibrium and endemic equilibrium. The use of Liapunov-Lasalle invariance principle has been disease-free equilibrium of the global stability, and the use of the comparison principle is a sufficient condition for persistence model.

关 键 词：饱和接触率 分布时滞 预防接种 稳定性 持久性 

分 类 号：O175.1[理学—数学]