Frequency domain analysis for bifurcation in a predator-prey model with delay

摘要：

In this paper, a class of predator-prey model with delay is considered. By applying the frequency domain approach, the existence of bifurcation parameter point is determined. If the coefficient τ is chosen as a bifurcation parameter, it is found that Hopf bifurcation occurs when the parameter τ passes through a critical value. Some numerical simulations for justifying the theoretical analysis are also included.

关键词： predator-prey model stability Hopf bifurcation frequency domain

作者: Changjin Xu Qianhong Zhang

作者单位: Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, Guiyang 550004, PR 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: 319-323

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）