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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 被引量：10

Global stability and Hopf bifurcation for a delayed predator-prey system with stage structure for pey
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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. 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.
作者 袁媛 段复建
机构地区 桂林电子科技大学信息科技学院
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第1期13-20,共8页 Journal of Yunnan University(Natural Sciences Edition)
基金 广西自然科学基金项目(2011GXNSFA018138) 桂林电子科技大学信息科技学院院级科研项目(B201112)
关键词 全局稳定性 HOPF分支 阶段结构 捕食系统 时滞 global stability Hopf bifurcation stage structure predator-prey system time delay
分类号 O29 [理学—应用数学]
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参考文献11

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二级参考文献23

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共引文献8

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引证文献10

二级引证文献17

云南大学学报（自然科学版）
2013年 第1期

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