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.
出处
《哈尔滨理工大学学报》
CAS
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)
关键词
饱和接触率
分布时滞
预防接种
稳定性
持久性
saturating contact rate
distributed time delay
continuous vaccination
stability
persistence
