摘要
考虑了具有饱和接触率和变化种群大小的脉冲时滞的SVEIR模型,利用离散动力系统的频闪映射,得到了无病周期解的存在性和它的精确表达式.根据比较原理,得到无病周期解全局渐近稳定的充分条件.最后,通过数值模拟解释了获得的结果.
A pulse vaccination delayed SVEIR model with saturation incidence and a varying total population was proposed. Using the discrete dynamical system determined by the stroboscopic map, the existence of the disease-free periodic solution and its exact expression were obtained. Further, using the comparison theorem, the sufficient conditions for the global attractivity of the disease-free periodic solution were established. Finally, numerical simulations were carried out to explain the results obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第1期92-96,共5页
Journal of Lanzhou University(Natural Sciences)
基金
Supported by the National Natural Science Foundation of China(40930533
10971164)
关键词
时滞
无病周期解
全局稳定性
time delay
disease-free periodic solution
global attractivity
