Analysis of a predator-prey system with predator switching

被引：41

作者：

Khan, QJA

Balakrishnan, E

Wake, GC

机构：

[1] Univ Canterbury, Dept Math & Stat, Christchurch, New Zealand

[2] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Al Khoud, Oman

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 2004年 / 66卷 / 01期

关键词：

D O I：

10.1016/j.bulm.2003.08.005

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider an interaction of prey and predator species where prey species have the ability of group defence. Thresholds, equilibria and stabilities are determined for the system of ordinary differential equations. Taking carrying capacity as a bifurcation parameter, it is shown that a Hopf bifurcation can occur implying that if the carrying capacity is made sufficiently large by enrichment of the environment, the model predicts the eventual extinction of the predator providing strong support for the so-called 'paradox of enrichment'. (C) 2003 Society for Mathematical Biology. Published by Elsevier Ltd. All rights reserved.

引用

页码：109 / 123

页数：15

共 37 条

[11]

HOLMES JC, 1972, ZOOL J LINN SOC S1, V51, P123

[12] SEASONAL DISTRIBUTION OF LARGE MAMMAL POPULATIONS IN UNFLOODED MIDDLE ZAMBEZI VALLEY [J].