| 具有饱和接触率和变化种群大小的脉冲时滞的SVEIR模型(英文) |
| |
| 引用本文： | 章培军,李维德,赵辰.具有饱和接触率和变化种群大小的脉冲时滞的SVEIR模型(英文)[J].兰州大学学报(自然科学版),2012(1):92-96. |
| |
| 作者姓名： | 章培军 李维德 赵辰 |
| |
| 作者单位： | 西京学院基础部;兰州大学数学与统计学院;石家庄机械化步兵学院文化基础教研室 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(40930533;10971164) |
| |
| 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.
|
| 关 键 词： | 时滞 无病周期解 全局稳定性 |
Pulse vaccination delayed SVEIR model with saturation incidence and a varying total population |
| |
| ZHANG Pei-jun,LI Wei-de,ZHAO Chen.Pulse vaccination delayed SVEIR model with saturation incidence and a varying total population[J].Journal of Lanzhou University(Natural Science),2012(1):92-96. |
| |
| Authors: | ZHANG Pei-jun LI Wei-de ZHAO Chen |
| |
| Institution: | 1.Department of Basic,Xijing University,Xi’an 710123,China 2.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China 3.Science and Literature Section,Shijiazhuang Mechanized Infantry Academy,Shijiazhuang 050083,China |
| |
| Abstract: | 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. |
| |
| Keywords: | time delay disease-free periodic solution global attractivity |
| 本文献已被 CNKI 等数据库收录！ |
