一类食饵具有阶段结构的时滞捕食系统的全局稳定性与Hopf分支[J]. 云南大学学报(自然科学版), 2013, 35(1): 13-20. doi: 10.7540/j.ynu.2012.12107
引用本文: 一类食饵具有阶段结构的时滞捕食系统的全局稳定性与Hopf分支[J]. 云南大学学报(自然科学版), 2013, 35(1): 13-20. doi: 10.7540/j.ynu.2012.12107
shu
Global stability and Hopf bifurcation for a delayed predator-prey system with stage structure for pey[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(1): 13-20. DOI: 10.7540/j.ynu.2012.12107
Citation: Global stability and Hopf bifurcation for a delayed predator-prey system with stage structure for pey[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(1): 13-20. DOI: 10.7540/j.ynu.2012.12107
shu

一类食饵具有阶段结构的时滞捕食系统的全局稳定性与Hopf分支

Global stability and Hopf bifurcation for a delayed predator-prey system with stage structure for pey

    摘要
  • 摘要: 考虑食饵具有阶段结构的时滞捕食系统.利用极限系统理论和比较原理得到了边界平衡点全局稳定性的充分条件;运用迭代方法和比较原理得到了正平衡点的全局稳定性;通过研究特征方程得到在一定条件下在正平衡点处产生Hopf分支. 

     

    Abstract: A delayed predator-prey system with stage structure for prey is considered.Sufficient conditions which guarantee the global stability of the boundary equilibria are obtained by limit theory and comparison principle.We also derive that the global stability of the positive equilibrium by using an iteration technique and comparison arguments.Under some conditions,Hopf bifurcation occurs at positive equilibrium by studying characteristic equation.

     

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