华东师范大学学报（自然科学版） >

2016 , Vol. 2016 >Issue 3: 39 - 47

DOI: https://doi.org/2016.03.005

数学

具有年龄结构的捕食被捕食系统的 Bogdanov-Takens 分支

  • 刘霞 ,
  • 焦建锋
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  • 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,河南~~新乡 453007
刘 霞, 女, 副教授, 硕士生导师, 研究方向为生物数学

收稿日期: 2015-06-08

  网络出版日期: 2016-09-22

基金资助

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

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Bogdanov-Takens bifurcation for a delayed predator prey system with stage structure

  • LIU Xia ,
  • JIAO Jian-Feng
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Received date: 2015-06-08

  Online published: 2016-09-22

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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-Takens(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

关键词： 时滞;捕食被捕食系统; Bogdanov-Takens\,(BT)分支;年龄结构

本文引用格式

刘霞 , 焦建锋 . 具有年龄结构的捕食被捕食系统的 Bogdanov-Takens 分支[J]. 华东师范大学学报（自然科学版）, 2016 , 2016(3) : 39 -47 . DOI: 2016.03.005

Abstract

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

Key words： delay;predator prey system; Bogdanov-Takens bifurcation; stage structure

参考文献

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