BIFURCATIONS OF A HOLLING-TYPE II PREDATOR-PREY SYSTEM WITH CONSTANT RATE HARVESTING

被引：37

作者：

Peng, Guojun ^{[2
]}

Jiang, Yaolin ^{[2
]}

Li, Changpin ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 08期

关键词：

Predator-prey system; constant rate harvesting; bifurcation; EQUATIONS;

D O I：

10.1142/S021812740902427X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this paper is to study the dynamical properties of a Holling-type II predator prey system with constant rate harvesting. It is shown that the model has at most three equilibria in the first quadrant and can exhibit numerous kinds of bifurcation phenomena, including the saddle-node bifurcation, the degenerate Bogdanov-Takens bifurcation of codimension 3, the supercritical and subcritical Hopf bifurcation, the generalized Hopf bifurcation. These results reveal far richer dynamics than that of the model with no harvesting.

引用

页码：2499 / 2514

页数：16

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