Varying pulse control schemes for SIRS epidemic model with seasonality

摘要：

In this paper, an SIRS epidemic model with time-varying contact rate and time-varying pulse control schemes is proposed and analyzed. The basic reproduction number are obtained which guarantee disease eradication. Moreover we demonstrate that the infection-free periodic solution is globally attractive if the basic reproduction number is less than unity, whereas the system is permanent if the basic reproduction number is larger than unity.

关键词： Time-varying contact rate time-varying pulse control epidemic model basic reproduction number

作者: Yujing Liu Shujing Gao Yun Lan

作者单位: Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques,Gannan Normal U Jiangxi Environmental Engineering Vocational College,Ganzhou 341000,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: 1310-1315

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）