Stability and Neimark-Sacker bifurcation for aaaa discrete delayed population model with delay-dependent parameters

摘要：

In this paper, we consider a discrete delayed population model obtained by Euler method.Firstly, the linear stability of the model is studied.It is shown that the system will undergo Neimark-Sacker bifurcation when the delay passes through some critical values. Then the explicit algorithm for determining the stability and the direction of the Neimark-Sacker bifurcation are derived by using the normal form theory and the center manifold theorem. Finally, some numerical simulations are carried out to illustrate our results with the theoretical analysis

关键词： Stability Delay Neimark-Sacker bifurcation

作者: LinSheng Wang GuiHong Xiao

作者单位: Department of Mathematics, Wenzhou University, Wenzhou 325000, 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: 623-629

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）