PERMANENCE AND GLOBAL ATTRACTIVITY FOR DISCRETE NONAUTONOMOUS TWO-SPECIES LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND FEEDBACK CONTROLS

被引：14

作者：

Xu, Jiabo ^{[1
]}

Teng, Zhidong ^{[1
]}

Jiang, Haijun ^{[1
]}

机构：

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

来源：

PERIODICA MATHEMATICA HUNGARICA | 2011年 / 63卷 / 01期

关键词：

discrete Lotka-Volterra system; feedback controls; delay; permanence; attractivity; discrete Lyapunov functional; PREDATOR-PREY SYSTEM; DIFFERENCE-EQUATIONS; PERIODIC-SOLUTIONS; MUTUAL EXCLUSION; WEAK EXTINCTION; PERSISTENCE; MODEL; STABILITY; PROBABILITIES;

D O I：

10.1007/s10998-011-7019-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls is proposed and investigated. By using the method of discrete Lyapunov functionals, new sufficient conditions on the permanence of species and global attractivity of the system are established. Particularly, an interesting fact is found in our results, that is, the feedback controls are harmless to the permanence of species for the considered system.

引用

页码：19 / 45

页数：27

共 50 条

[1] Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls
Jiabo Xu
Zhidong Teng
Haijun Jiang
Periodica Mathematica Hungarica, 2011, 63 : 19 - 45
[2] Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and feedback controls
Liao, Xinyuan
Ottyang, Zigen
Zhou, Shengfan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 211 (01) : 1 - 10
[3] The permanence and global attractivity in a nonautonomous Lotka-Volterra system
Zhao, JD
Jiang, JF
Lazer, AC
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2004, 5 (02) : 265 - 276
[4] The permanence and global attractivity of Lotka-Volterra competition system with feedback controls
Chen, FD
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (01) : 133 - 143
[5] PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA-VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS
Muhammadhaji, Ahmadjan
Teng, Zhidong
Nie, Linfei
INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (07)
[6] Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls
Zhang, Ling
Teng, Zhidong
Zhang, Tailei
Gao, Shujing
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[7] Global attractivity of a discrete Lotka-Volterra competition system with infinite delays and feedback controls
Daiyong Wu
Advances in Difference Equations, 2013
[8] Global attractivity of a discrete Lotka-Volterra competition system with infinite delays and feedback controls
Wu, Daiyong
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[9] Permanence for two-species Lotka-Volterra systems with delays
Lin, SQ
Lu, ZY
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2006, 3 (01) : 137 - 144
[10] PERMANENCE FOR NONAUTONOMOUS N-SPECIES LOTKA-VOLTERRA COMPETITIVE SYSTEMS WITH FEEDBACK CONTROLS
Feng, Xiaomei
Teng, Zhidong
Zhang, Long
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (05) : 1355 - 1376

← 1 2 3 4 5 →