| 具有脉冲出生和垂直传染的双时滞SERIS传染病模型 |
| |
| 引用本文： | 连晓飞,周文,曹磊.具有脉冲出生和垂直传染的双时滞SERIS传染病模型[J].安徽工程科技学院学报,2014(2):90-94. |
| |
| 作者姓名： | 连晓飞 周文 曹磊 |
| |
| 作者单位： | 安徽师范大学数学与计算机科学学院,安徽芜湖241000 |
| |
| 基金项目： | 国家自然科学基金资助项目（11302002）; 安徽高校省级优秀青年人才基金资助项目（2010SQRL0256ZD,2011sqrl022ZD） |
| |
| 摘 要： | 考虑到某些种群的出生受季节变化的影响,建立了具有脉冲出生和垂直传染的双时滞SEIRS模型.利用频闪映射获得了无病周期解的表达式,并通过比较定理证明了当R01时,无病周期解全局吸引;当R*0时传染病持续.
|
| 关 键 词： | 频闪映射 脉冲出生 持久性 比较定理 |
Two time delays for a SEIRS epidemic model with pulse birth and vertical transmission |
| |
| LIAN Xiao-fei,ZHOU Wen,CAO Lei.Two time delays for a SEIRS epidemic model with pulse birth and vertical transmission[J].Journal of Anhui University of Technology and Science,2014(2):90-94. |
| |
| Authors: | LIAN Xiao-fei ZHOU Wen CAO Lei |
| |
| Institution: | (Coll. of Math. ＆ Comp. Sei. ,Anhui Normal University,Wuhu 241000 ,China) |
| |
| Abstract: | Considering the impact of some populations affected by seasonal changers, a delay SEIRS model with pulse birth and vertical transmission is proposed. Using the discrete dynamical system determined by the stroboscopic map, the exact expression of infection-free periodic solution is obtained. Further- more,by the comparison theorem,it is proved that the infection-free periodic solution is globally attractive when R0〈l and the disease is persistent when R0^＊〉1. |
| |
| Keywords: | stroboscopic map pulse birth permanence comparison theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
