Dynamical behavior of a SIR pulse vaccination model with saturated incidence

摘要：

A SIR pulse vaccination model with saturated incidence is studied in the paper. We obtain theperiodic infection-free solution of the epidemic model by using stroboscopic map. Further, Using Floquettheorem and comparison theorem we prove that the periodic infection-free solution is globally stable underappreciate conditions. In order to eradicate the disease by pulse vaccination, the maximum vaccinationperiod max is shown. Theoretical results show that pulse vaccination is more effective than conventionalstrategies in leading to disease eradication at relatively low values of vaccination.

关键词： Saturation incidence Pulse vaccination Stability

作者: Jinmei Lu Yongfeng Li

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: 1593-1603

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）