MULTIPARAMETER BIFURCATION OF A PREDATOR-PREY SYSTEM

被引：36

作者：

HAINZL, J

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 01期

关键词：

PREDATOR-PREY SYSTEM; BIFURCATION; UNFOLDING; STABILITY; PARAMETER DEPENDENT INTEGRAL; LIMIT CYCLE; HOMOCLINIC ORBIT;

D O I：

10.1137/0523008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a two-dimensional predator-prey system, proposed by Bazykin and depending on several parameters, a complete local bifurcation analysis with respect to all parameters is achieved. The major part of the paper is devoted to the unfolding of a degenerate codimension-2 bifurcation occurring for a one-dimensional subset of parameters. The main problem here consists in studying parameter dependent integrals which are not algebraic.

引用

页码：150 / 180

页数：31

共 11 条

[1]

Amann H., 1983, GEWOHNLICHE DIFFEREN

[2] THE INFLUENCE OF PREDATOR SATURATION EFFECT AND COMPETITION AMONG PREDATORS ON PREDATOR-PREY SYSTEM DYNAMICS [J].