摘要
建立了一类带有脉冲接种和饱和传染率的类年龄结构SEIR流行病模型,讨论了系统无病周期解存在的条件,给出了染病再生数的表达式,证明了染病再生数小于1时,无病周期解是全局吸引的.
A class age-structured SEIR epidemic model with impulsive vaccination and saturation infectious rate was formulated. The existence of disease-free periodic solution was discussed and the expression of infective reproduc- tive number was obtained. It was proved that the disease-free periodic solution was globally attractive if the infective re- productive number is less than one.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2013年第4期489-492,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
河南省基础与前沿技术研究计划项目(102300410022
122300410276)
信阳师范学院青年基金项目(20100072)
关键词
饱和传染率
脉冲接种
染病再生数
全局吸引
saturation infectious rate
pulse vaccination
reproductive number of infective
global attractor
