Global attractor in competitive Lotka-Volterra systems with retardation

被引：4

作者：

Hou, ZY ^{[1
]}

机构：

[1] London Guildhall Univ, Dept CISM, London EC3N 1JY, England

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2002年 / 9卷 / 04期

关键词：

global attractor; Lotka-Volterra; retarded differential systems;

D O I：

10.1007/PL00012606

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global attractivity is studied for a class of competitive Lotka-Volterra differential systems with retardation. Sufficient conditions, which contain a number of existing results as special instances, are provided for a system to have a single-point global attractor. By these conditions, predictions can be made either for coexistence and stability of all the species or for balance of survival and extinction.

引用

页码：397 / 417

页数：21

共 10 条

[1] BALANCING SURVIVAL AND EXTINCTION IN NONAUTONOMOUS COMPETITIVE LOTKA-VOLTERRA SYSTEMS [J].

DEOCA, FM ;

ZEEMAN, ML .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) :360-370

[2] TIME DELAYS IN N-SPECIES COMPETITION .1. GLOBAL STABILITY IN CONSTANT ENVIRONMENTS [J].

GOPALSAMY, K ;

AHLIP, RA .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 27 (03) :427-441

[3]

Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74

[4] Global attractor in autonomous competitive Lotka-Volterra systems [J].

Hou, ZY .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (12) :3633-3642

[5] POSITIVE SOLUTIONS OF POSITIVE LINEAR-SYSTEMS [J].

KAYKOBAD, M .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 64 (JAN) :133-140

[6]

Kuang Y, 1993, Mathematics in Science and Engineering

[7] PERMANENCE AND GLOBAL ATTRACTIVITY FOR COMPETITIVE LOTKA-VOLTERRA SYSTEMS WITH DELAY [J].

LU, ZY ;

TAKEUCHI, Y .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (07) :847-856

[8]

MARTIN RH, 1991, J REINE ANGEW MATH, V413, P1

[9]

Smith H. L, 2008, Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems: an introduction to the theory of competitive and cooperative systems No

[10]

Takeuchi Y., 1996, GLOBAL DYNAMICAL PRO

← 1 →