| 目标转移对三种群捕食系统的影响 |
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| 引用本文： | 陈元明,黄永年,张建勋. 目标转移对三种群捕食系统的影响[J]. 郑州大学学报(理学版), 2007, 39(1): 20-23 |
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| 作者姓名： | 陈元明 黄永年 张建勋 |
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| 作者单位： | 1. 丽水学院数学系,浙江,丽水,323000
2. 宁波大学理学院,浙江,宁波,315211 |
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| 摘 要： | 考虑了一个有目标转移强度的两个食饵和一个捕食者的数学模型.通过Hurwitz判据和Lyapunov方法得到了系统正平衡点稳定的条件.当两食饵种群的内禀增长率相同时,该捕食系统将有一个周期解.
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| 关 键 词： | 目标转移强度 捕食系统 Volterra方程 正平衡点 稳定性 |
| 文章编号： | 1671-6841(2007)01-0020-04 |
| 修稿时间： | 2006-04-25 |
Switching Effect in Three-dimensional Prey-predator System |
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| CHEN Yuan-ming,HUANG Yong-nian,ZHANG Jian-xun. Switching Effect in Three-dimensional Prey-predator System[J]. Journal of Zhengzhou University(Natrual Science Edition), 2007, 39(1): 20-23 |
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| Authors: | CHEN Yuan-ming HUANG Yong-nian ZHANG Jian-xun |
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| Affiliation: | 1. Department of Mathematics, Lishui Universti y , Lishui 323000, China ; 2. Faculty of Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | A mathematical model of two-prey and one-predator system which has the switching property of predation is considered. By using the Routh-Hurwitz criteria and Lyapunov method, the condition of the stable positive equilibrium is obtained. In the special case that two-prey species have the same intrinsic growth rates, it is shown that the system asymptotically settles a Volterra~s oscillation in three-dimensional space. |
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| Keywords: | switching intensity prey-predator system Volterra's equation positive equilibrium stability |
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