一类具有脉冲接种和非线性传染率的SEIR传染病模型的分析  

Analysis of an SEIR Epidemic Model with Pulse Vaccination and Nonlinear Infectious Rate

作　　者：王寿斌[1] 王丽敏[1] 张娣[1] 

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《温州大学学报（自然科学版）》2015年第2期44-50,共7页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11061017)

摘　　要：研究了一类具有脉冲接种和非线性传染率的SEIR传染病模型,利用Floquet乘子理论和脉冲微分系统比较定理,证明了无病周期解的存在性和全局渐近稳定性的条件.In this paper, an SEIR epidemic disease model with nonlinear infectious rate and pulse vaccination is investigated. Based on Floquet multiplier theory and comparison theorem of impulsive differential equation, the research proves that the existence of the disease free periodic solution and conditions of overall asymptotic stability are meanwhile involved.

关 键 词：非线性传染率 脉冲接种 周期解 持久性 

分 类 号：O175[理学—数学]