摘要
研究了一类非线性脉冲接种的时滞SIR模型.运用离散动力系统的频闪映射,得到了无病周期解的存在性及其表达式.利用比较定理得到了无病周期解的全局吸引和疾病持续的充分条件.
A delayed SIR epidemic model with pulse vaccination and nonlinear incidence rate is investigated. Using the discrete dynamical system determined by the stroboscopic map, the existence of the disease-free periodic solution and its exact expression are obtained. Moreover, by the comparison theorem, the sufficient conditions of global attractivity of the disease-free periodic solution and the permanence of disease are established.
出处
《信阳师范学院学报（自然科学版）》
CAS
2009年第3期325-328,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
Natural Science Foundation of Educational Department of Henan Province(2009B110019)
The Backbone Youth Teacher Foun-dation of Xinyang Normal University
关键词
脉冲接种
周期解
时滞
持续
全局吸引
pulse vaccination
periodic solution
delay
permanence
global attractivity
