PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA-VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS

被引：4

作者：

Muhammadhaji, Ahmadjan ^{[1
]}

Teng, Zhidong ^{[1
]}

Nie, Linfei ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 07期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Nonautonomous discrete system; Lotka-Volterra competitive system; permanence; feedback control; pure-delay; GLOBAL ATTRACTIVITY; POPULATION-MODEL; PERSISTENCE; STABILITY; SUFFICIENT; EQUATIONS;

D O I：

10.1142/S0129167X13500535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper discusses nonautonomous discrete Lotka-Volterra type n-species competitive systems with pure-delays and feedback controls. New sufficient conditions for which a part of the n-species remains permanent and others is driven to extinction are established by using the method of multiple discrete Lyapunov functionals and introducing new analysis technique. Our results show that the feedback controls cannot influence the permanence of species.

引用

页数：17

共 50 条

[1] 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
[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] Extinction in nonautonomous Lotka-Volterra competitive system with pure-delays and feedback controls
Hu, Hongxiao
Teng, Zhidong
Gao, Shujing
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2508 - 2520
[4] Permanence and asymptotic behavior of the N-species nonautonomous Lotka-Volterra competitive systems
Teng, ZD
Li, ZM
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (7-8) : 107 - 116
[5] On the permanence in non-autonomous Lotka-Volterra competitive system with pure-delays and feedback controls
Hu, Hongxiao
Teng, Zhidong
Jiang, Haijun
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1803 - 1815
[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] Permanence in a discrete n-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control
Chen, Xiaoxing
ADVANCES IN COMPLEX SYSTEMS, 2007, 10 (04): : 463 - 477
[8] ON THE PERMANENCE FOR n-SPECIES NON-AUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAYS AND FEEDBACK CONTROLS
Wang, Kai
Teng, Zhidong
Jiang, Haijun
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (01) : 29 - 43
[9] Partial permanence and extinction in an N-species nonautonomous Lotka-Volterra competitive system
Li, Jinxian
Yan, Jurang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (01) : 76 - 88
[10] Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays
Xu, R
Chen, LS
Chaplain, MAJ
ACTA MATHEMATICA SCIENTIA, 2003, 23 (02) : 208 - 218

← 1 2 3 4 5 →