An impulsive epidemic model with two parallel infectious stages and time delays

摘要：

Abstract. Pulse vaccination is an important and effective strategy for elimination of infectious diseases. Inthis paper, an impulsive SIR epidemic model with two parallel infectious stages and time delays is proposed.By using the Floquet theorem and comparison theorem, we obtain that the infection-free periodic solution isglobally attractive when R1＜1and R2＜1,while the system is permanent when R1＞1and R2＞1.Ourresults indicate that a large pulse vaccination rate is an important factor for the extinction of the disease.

关键词： Pulse vaccination parallel infectious stages nonlinear incidence permanence

作者: Shuixian Yan Shujing Gao Longsheng Huang

作者单位: Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, P.R.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: 1439-1445

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）