Hopf bifurcations in predator-prey systems with social predator behaviour

被引：8

作者：

Pacheco, JM ^{[1
]}

Rodriguez, C ^{[1
]}

Fernandez, I ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain

来源：

ECOLOGICAL MODELLING | 1997年 / 105卷 / 01期

关键词：

predator-prey; social behaviour; Hopf bifurcation;

D O I：

10.1016/S0304-3800(97)00140-3

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

This paper is devoted to the existence of Hopf bifurcations in predator-prey systems under the assumption that the predators show social behaviour. Using the theory of Hopf bifurcation, we prove that the social coefficient appears as an adequate bifurcation parameter. Also, some numerical results are presented in order to discuss the structure of bifurcating solutions. (C) 1997 Elsevier Science B.V.

引用

页码：83 / 87

页数：5