The Stability Analysis of an Impulsive SEIR Epidemic Model with Two Time Delays

摘要：

In this paper, an impulsive SEIR epidemic model with two time delays is formulated and studied. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact periodic solution. Furthermore, we prove that the infection-free periodic solution is globally attractive under appreciate conditions. Our results indicate that a large pulse vaccination rate is the sufficient condition for the eradication of the disease.

关键词： Impulsive Stability Time-delay

作者: Jinmei Lu Peixu Xing

作者单位: Department of Mathematics, Information & Computation Science,Zhengzhou University of Light Industry,Zhengzhou 450002, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1604-1610

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）