Threshold dynamics for SIR epidemic model in periodic environments

摘要：

The global dynamics of a periodic SIR epidemic model is investigated. The basic reproductive number R0 is dehed. It is proved that the disease-free equilibrium is globally stable if R0<1. The disease-free equilibrium is unstable and the disease remains endemic when R0 > 1,The existence of the periodic solution is investigated and it is proved that the periodic model has at least one periodic solution if R0>1Numerica simulations are also provided to con^rm ouranalytic results.

关键词： periodic solution basic reproduction number global stability uniform persistence

作者: Hu Xinli

作者单位: Science college Xian polytechnic University Xian, China

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 41-45

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）