| 一类综合功能反应模型的分支 |
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| 引用本文： | 王常吉,宣恒农.一类综合功能反应模型的分支[J].五邑大学学报(自然科学版),2001,15(2):7-10. |
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| 作者姓名： | 王常吉 宣恒农 |
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| 作者单位： | 1. 中国科技大学研究生院DCS中心,
2. 五邑大学计算机工程系, |
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| 摘 要： | 基于广泛的生态背景，综合生态学著名的HollingⅡ型功能反应模型，以及近几年来才出现的具有比率相关的功能反应模型，通过适当的变换，运用Hopf分支理论，得到判别系统出现Hopf分支的充分条件，具有一定的生态指导意义。
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| 关 键 词： | Hopf分支 极限环 食饵-捕食系统 HolingⅡ型功能反应模型 |
| 文章编号： | 1006-7302（2001）02-0007-04 |
The Bifurcation of a Class of Integrated Functional Response Model |
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| WANG Chang-ji,XUAN Heng-nong.The Bifurcation of a Class of Integrated Functional Response Model[J].Journal of Wuyi University(Natural Science Edition),2001,15(2):7-10. |
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| Authors: | WANG Chang-ji XUAN Heng-nong |
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| Institution: | WANG Chang-ji1,XUAN Heng-nong2 |
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| Abstract: | In this paper, We purpose a model, which is of comprehensive ecology background, It contains the well-known Holling II functional response model, and the ratio-dependant functional response model, which was proposed recently. We deduced the sufficient condition which can be used to determine Hopf bifurcation in system．The conclusion is of some guidance ecological interest. |
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| Keywords: | Hopf bifurcation limit cycle predator-prey system |
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