Heteroclinic bifurcation in a ratio-dependent predator-prey system

被引：35
|
作者：
Tang, YL [1 ]
Zhang, WN [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2005年 / 50卷 / 06期
关键词：
predator-prey system; heteroclinic loop; bifurcation; hamiltonian system; degenerate equilibrium;
D O I：
10.1007/s00285-004-0307-1
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we study the heteroclinic bifurcation in a general ratio-dependent predator-prey system. Based on the results of heteroclinic loop obtained in [J. Math. Biol. 43(2001): 221-246], we give parametric conditions of the existence of the heteroclinic loop analytically and describe the heteroclinic bifurcation surface in the parameter space, so as to answer further the open problem raised in [J. Math. Biol. 42(2001): 489-506].
引用
收藏
页码：699 / 712
页数：14
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