Global stability for a Lotka-Volterra system with a weakly diagonally dominant matrix

被引:5
作者
Lu, ZY [1 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
关键词
Lotka-Volterra system; LaSalle's invariance principle; global stability;
D O I
10.1016/S0893-9659(98)00015-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The unique positive equilibrium of a Lotka-Volterra system with a weakly diagonally dominant interaction matrix is globally stable.
引用
收藏
页码:81 / 84
页数:4
相关论文
共 4 条
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Goh B.S., 1980, MANAGEMENT ANAL BIOL
[2]  
Hofbauer J, 1988, THEORY EVOLUTION DYN
[3]  
LaSalle J., 1960, IRE T CIRCUIT THEORY, V7, P520, DOI [DOI 10.1109/TCT.1960.1086720, 10.1109/TCT.1960.1086720]
[4]  
Takeuchi Y., 1996, GLOBAL DYNAMICAL PRO