Stability of a Stage Structured Predator-prey System with Delay Dependent Parameters

摘要：

We present a two-stage predator-prey model with delay dependent parameters and density regulation. We analyze local stability of the equilibriums, and give conditions which are both necessary and sufficient for the global asymptotical stability of the boundary equilibrium (1, 0). We prove that the system is uniformly persistent if the positive equilibrium exists, and the positive steady state is globally asymptotically stable when it is local asymptotically stable. At last, we compare and contrast the dynamics in the two cases corresponding respectively to the present or absence of mortality among the juveniles. It shows that the stage structure models with delay dependent parameters are more suitable than that with delay independent parameters.

关键词： Stage structure Asymptotical stability Delay dependent parameters

作者: HU Baoan LIU Junfeng JU Tao

作者单位: General Courses Department, Military Transportation University, Tianjin, 300161, china

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 1373-1376

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）