| 一类三种群捕食-食饵模型Hopf-Fold分支现象分析 |
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| 引用本文： | 于键,郭爽,薛欢庆,沙元霞,付保红,那连涛.一类三种群捕食-食饵模型Hopf-Fold分支现象分析[J].哈尔滨师范大学自然科学学报,2014(2):16-18,35. |
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| 作者姓名： | 于键 郭爽 薛欢庆 沙元霞 付保红 那连涛 |
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| 作者单位： | 大庆师范学院;大庆油田总医院集团; |
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| 基金项目： | 黑龙江省自然科学基金项目(A201313) |
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| 摘 要： | 对一类三种群捕食-食饵模型特征方程特征根的分布情况进行了讨论,给出了产生Hopf-Fold分支的条件及分支临界点（p ＊,τ0）的计算公式.数值结果表明该模型出现了周期解和种群爆发行为等复杂的动力学现象.
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| 关 键 词： | 捕食-食饵模型 时滞 Hopf-Fold分支 爆发行为 |
The Analysis on Hopf-Fold Bifurcation of a Kind of Predator-prey Model |
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| Yu Jian,Guo Shuang,Xue Huanqing,Sha YuanxiaI,Fu BaohongI,Na Liantao.The Analysis on Hopf-Fold Bifurcation of a Kind of Predator-prey Model[J].Natural Science Journal of Harbin Normal University,2014(2):16-18,35. |
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| Authors: | Yu Jian Guo Shuang Xue Huanqing Sha YuanxiaI Fu BaohongI Na Liantao |
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| Institution: | 2 (1. DaqingNormalUniversity ;2. General Hospital of Daqing Oil Field Group ) |
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| Abstract: | In this paper, the distribution of the roots of the associated characteristic equation in a kind of predator - prey model is analyzed. A group of conditions of existence of Hopf - Fold bifurcation are obtained at the coexisting equilibrium and the formular of the point of （p ＊,τ0 ） The result indicates that there are complex dynamic behavior such as periodic motion and bursting behavior. |
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| Keywords: | Predator - prey model Delay Hopf - Fold bifurcation Bursting behavior |
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