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目标转移对三种群捕食系统的影响

陈元明 黄永年 张建勋

郑州大学学报(理学版)2007,Vol.39Issue(1):20-23,4.
郑州大学学报(理学版)2007,Vol.39Issue(1):20-23,4.

目标转移对三种群捕食系统的影响

Switching Effect in Three-dimensional Prey-predator System

陈元明 1黄永年 2张建勋2

作者信息

  • 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
  • 折叠

摘要

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.

关键词

目标转移强度/捕食系统/Volterra方程/正平衡点/稳定性

Key words

switching intensity/prey-predator system/Volterra's equation/positive equilibrium/stability

分类

数理科学

引用本文复制引用

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):20-23,4.

郑州大学学报(理学版)

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1671-6841

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