The Global Attractivity of a New delay SEIR Epidemic Disease Model with Vertical Transmission and Pulse Vaccination

摘要：

In this paper, we formulate a robust SEIR epidemic disease model with a profitless delay and vertical transmission, and analyze the dynamical behaviors of the model under pulse vaccination. By using of the discrete dynamical system determined by the stroboscopic map, we obtain an infection-freeperiodic solution, further, show that the infection-free periodic solution is globally attractive when some parameters of the model are under appropriate conditions. Our results indicate that the delay is profitless.

关键词： pulse vaccination Horizontal and vertical transmission Delays Global attractivity

作者: Huidong Cheng Fujuan Chu Qiuxia Sun

作者单位: College of Science, Shandong University of Science and Technology, Qingdao 266510 Hospital of People Shandong Feicheng, Shandong Feicheng 271600

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 53-57

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）