Dynamic transcritical bifurcations in a class of slow-fast predator-prey models

被引：17

作者：

Boudjellaba, Hafida ^{[2
]}

Sari, Tewfik ^{[1
]}

机构：

[1] Univ Haute Alsace, F-68093 Mulhouse, France

[2] Laurentian Univ, Sudbury, ON P3E 2C6, Canada

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 06期

关键词：

Asymptotic stability; Delayed loss of stability; Singular perturbations; Canards; Biological models; ORDINARY DIFFERENTIAL-EQUATIONS; UNSTABLE PERIODIC MOTIONS; CANARDS; POPULATIONS; EXISTENCE; R-3;

D O I：

10.1016/j.jde.2009.01.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the stability loss delay phenomenon in a dynamic transcritical bifurcation in a class of three-dimensional prey and predator systems. The dynamics of the predator is assumed to be slow comparatively to the dynamics of the prey. As an application, a well-known model considered by Clark will be discussed. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2205 / 2225

页数：21

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