Simultaneous zip bifurcation and limit cycles in three dimensional competition models

被引：5

作者：

Sáez, E

Stange, E

Szánto, I

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

[2] Univ Valparaiso, Inst Matemat & Fis, Valparaiso, Chile

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2006年 / 5卷 / 01期

关键词：

stability; limit cycles; bifurcations; bioeconomic model;

D O I：

10.1137/040613998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A three dimensional system is considered, which describes the competition of two predator species for a single prey species. When the predators' functional response is of generalized Holling III type, we prove the simultaneous existence of a hyperbolic attracting limit cycle and a Farkas zip-type bifurcation.

引用

页码：1 / 11

页数：11