| 一类具有隔离的脉冲免疫接种SIQR传染病模型的全局动力学行为 |
| |
| 引用本文： | 赵文才.一类具有隔离的脉冲免疫接种SIQR传染病模型的全局动力学行为[J].数学的实践与认识,2009,39(17). |
| |
| 作者姓名： | 赵文才 |
| |
| 作者单位： | 山东科技大学,理学院,山东,青岛,266510 |
| |
| 基金项目： | 山东科技大学"春蕾计划"项目，山东省软科学研究计划项目 |
| |
| 摘 要： | 建立了一类具有隔离和垂直传染的SIQR传染病模型,在脉冲免疫接种条件下,分析了其全局动力学行为.利用频闪映射,获得了无病周期解,给出了此周期解的全局稳定性分析.并获得了系统一致持续生存的条件.
|
| 关 键 词： | 隔离 脉冲免疫接种 垂直传染 全局渐近稳定性 持久性 |
Global Dynamics Behaviors of an SIQR Epidemic Disease Model with Quarantine and Pulse Vaccination |
| |
| ZHAO Wan-cai.Global Dynamics Behaviors of an SIQR Epidemic Disease Model with Quarantine and Pulse Vaccination[J].Mathematics in Practice and Theory,2009,39(17). |
| |
| Authors: | ZHAO Wan-cai |
| |
| Abstract: | An SIQR epidemic disease model with quarantine and vertical transmission is formulated, and the global dynamics behaviors of the model under pulse vaccination are analyzed. By use of the stroboscopic map, an 'infection-free' periodic solution is obtained, and the analysis of global stability of the 'infection-free' periodic solution is given. Furthermore, the sufficient condition for permanence of the system is obtained. |
| |
| Keywords: | quarantine pulse vaccination vertical transmission global asymptotic stability permanence |
| 本文献已被 万方数据 等数据库收录！ |
|
