Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay

被引：33

作者：

Zhang, JR

Chen, LS ^{[1
]}

Chen, XD

机构：

[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

[2] Dalian Univ Technol, Inst Math Sci, Dalian 116023, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 37卷 / 08期

基金：

中国国家自然科学基金;

关键词：

diffusion; time delay; uniform persistence; global asymptotic stability;

D O I：

10.1016/S0362-546X(97)00705-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical behavior of a two-species competition Lotka-Volterra patch-system with continuous time delay is examined. A model is used that includes not only the dispersal processes but also some of the past states of the system. The effect of both spatial and time delay factors on the stability of the system is determined. Further, sufficient conditions on the parameters of the model that ensure uniform persistence and global asymptotic stability of the system are established.

引用

页码：1019 / 1028

页数：10

共 9 条

[1] STABILITY SWITCHES IN DISTRIBUTED DELAY MODELS [J].