Bifurcation Analysis of A Delayed SIR Model

摘要：

Hopf bifurcation of an SIR epidemic model with incubation time and saturated incidence rate is studied, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the infective. The threshold value R0 determining whether the disease dies out is found. If R0 > 1, by using the time delay (I.e., incubation time) as a bifurcation parameter, the local stability of the endemic equilibrium is investigated, and the conditions for Hopf bifurcation to occur are derived. Numerical simulations are presented to illustrate our main results.

关键词： SIR model time delay hopf bifurcation

作者: Jin-Zhu Zhang Jian-Jun Wang Tie-Xiong Su

作者单位: Institute of military equipment and technologies North University of China Taiyuan 030051, China Dep Department of Mathematics Taiyuan Institute of Technology Taiyuan 030008, China Institute of military equipment and technologies North University of China Taiyuan 030051, 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: 593-596

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）