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具有年龄结构的捕食被捕食系统的Bogdanov-Takens分支 被引量：1

Bogdanov-Takens bifurcation for a delayed predator prey system with stage structure
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摘要 本文考虑了一类具有常值收获和年龄结构的捕食被捕食系统的Bogdanov-Taken8(BT)分支问题.给出了系统的正平衡点是BT奇点的充分条件以及系统在该奇点处的开拆标准型,从而得出在该平衡点附近处会出现的分支现象. In this paper the Bogdanov-Takens（BT） bifurcation of a delayed predator prey system with stage structure and constant harvesting is considered.The existing conditions which guarantee an interior equilibrium of the system is BT singularity are obtained and the corresponding normal form for the system at this singularity is presented,some bifurcation results are shown.
作者 刘霞 焦建锋
机构地区 河南师范大学数学与信息科学学院大数据统计分析与优化控制河南省工程实验室
出处 《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第3期39-47,共9页 Journal of East China Normal University(Natural Science)
基金 河南省教育厅科学技术研究重点项目(14A110019 15A110034) 河南师范大学校级骨干教师项目资助
关键词 时滞 捕食被捕食系统 Bogdanov-Takens(BT)分支 年龄结构 delay predator prey system Bogdanov-Takens bifurcation stage structure
分类号 O175.1 [理学—基础数学]
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参考文献11

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华东师范大学学报（自然科学版）
2016年 第3期

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