Persistence and average persistence of a nonautonomous Kolmogorov system

被引：7

作者：

Han, Xinli ^{[1
]}

Teng, Zhidong

Xiao, Dongmei

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 30卷 / 03期

关键词：

D O I：

10.1016/j.chaos.2006.04.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the persistence and average persistence of a nonautonomous Kolmogorov type predator-prey system. Sufficient and necessary criteria for the persistence and average persistence are obtained, respectively. In addition, as a special case, we also discuss the equivalence of persistence of several kinds for almost periodic Kolmogorov type predator-prey system. (c) 2006 Published by Elsevier Ltd.

引用

页码：748 / 758

页数：11

共 50 条

[1] On the average persistence and extinction in nonautonomous predator-prey Kolmogorov systems
Han, Xinli
Teng, Zhidong
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (3-4): : 367 - 385
[2] The persistence of a general nonautonomous single-species Kolmogorov system with delays
Yang, Xitao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1422 - 1429
[3] Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
Mierczynski, J
Shen, WX
Zhao, XQ
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 204 (02) : 471 - 510
[4] Persistence and stability in general nonautonomous single-species Kolmogorov systems with delays
Teng, Zhidong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (01) : 230 - 248
[5] Persistence and Nonpersistence of a Nonautonomous Stochastic Mutualism System
Xia, Peiyan
Zheng, Xiaokun
Jiang, Daqing
ABSTRACT AND APPLIED ANALYSIS, 2013,
[6] Persistence for nonautonomous Volterra competition system in three species
Huabei Gongxueyuan Xuebao/Journal of North China Institute of Technology, 1998, 19 (02): : 100 - 102
[7] Uniform persistence and periodic solutions for Kolmogorov system with delays
Yang, Xitao
Tang, Siping
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2740 - 2748
[8] Average conditions for extinction in nonautonomous Kolmogorov systems
Petela, Joanna
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1542 - 1560
[9] The persistence and global attractivity in general nonautonomous discrete single-species Kolmogorov model with delays
Liu, Jing
Wang, Dongsheng
Teng, Zhidong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 378 (02) : 403 - 417
[10] UNIFORM PERSISTENCE IN NONAUTONOMOUS DELAY-DIFFERENTIAL KOLMOGOROV-TYPE POPULATION-MODELS
KUANG, Y
TANG, BR
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1994, 24 (01) : 165 - 186

← 1 2 3 4 5 →