Analysis on a delayed SIRS epidemic model with impulsive vaccination

摘要：

An SIRS model with discrete delay, pulse vaccination and non-monotonic incidence is studied.We gave two new threshold values R1 and R2. Further, using the comparison theorem of impulsivedifferential equation and Lyapunov functional, we proved that, under the condition R1＜1, the disease-freeperiodic solution is globally attractive, and that R2＞1 implies permanence of the disease. For R1＞1＞R2,numerical simulation illustrates that the disease will be permanent.

关键词： Time delay Impulsive vaccination Nonlinear incidence Global attractive Permanence

作者: Shulin Sun Chengmin Li

作者单位: School of Mathematics and Computer Science,Shanxi Normal University,Linfen Shanxi, 041004, 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: 1354-1361

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）