| 一类捕食者－食饵系统的Hopf分枝 |
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| 引用本文： | 吴云华,郭瑞海.一类捕食者－食饵系统的Hopf分枝[J].西南民族学院学报(自然科学版),1995(4). |
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| 作者姓名： | 吴云华 郭瑞海 |
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| 作者单位： | 中国科学院成都计算机应用研究所，西南民族学院数学系 |
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| 摘 要： | 考虑一类具有偏食习惯的捕食者与被捕食者模型。分析了该系统的奇点类型及稳定性。利用中心流形定理和Ｈｏｐｆ分枝理论证明了该系统在一定条件下产生Ｈｏｐｆ分枝，得到了中心流形的具体表达式。
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| 关 键 词： | 中心流形，Hopf分枝，周期解，捕食者，食饵 |
Hopf Bifurcation in the Predator-prey System |
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| Wu Yunhua.Hopf Bifurcation in the Predator-prey System[J].Journal of Southwest Nationalities College(Natural Science Edition),1995(4). |
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| Authors: | Wu Yunhua |
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| Abstract: | A class of ecology models in predator-prey systems is considered. The qualitative Property and stability of the singular points of the system are analysed. Using Hopf bifurcation and Center manifold theorems, the bifurcation phenomena are discussed. Hopf bifurcation can occur in some valuse of parameters, The asymptotic formulas for the center manifold have been given. |
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| Keywords: | center manifold Hopf bifurcation periodic solution predator prey |
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