The dynamic behavior of N-species cooperation system with continuous time delays and feedback controls

被引：43
作者：
Chen, Fengde [1 ]
Liao, Xinyuan
Huang, Zhenkun
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China
[2] Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[4] Jimei Univ, Sch Sci, Fujian 361021, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期
基金：
中国国家自然科学基金;
关键词：
cooperation system; permanence; periodic solution; almost periodic solution; global attractivity; feedback controls;
D O I：
10.1016/j.amc.2006.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a N-species cooperation system with continuous time delays and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain sufficient conditions which guarantee the existence, uniqueness and stability of a positive periodic solution. For the almost periodic case, by using the Razumikhin type theorem, we obtain the sufficient conditions which guarantee the existence of a positive almost periodic solution of the system. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：803 / 815
页数：13
相关论文
共 32 条
[1]  
Barbalat I., 1959, REV ROUMAINE MATH PU, V4, P267
[2]   Positive periodic solutions of a class of non-autonomous single species population model with delays and feedback control [J].
Chen, FD ;
Chen, XX ;
Cao, JD ;
Chen, AP .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (06) :1319-1336
[3]   Permanence in nonautonomous multi-species predator-prey system with feedback controls [J].
Chen, FD .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (02) :694-709
[4]   The permanence and global attractivity of Lotka-Volterra competition system with feedback controls [J].
Chen, FD .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (01) :133-143
[5]   Global asymptotic stability in n-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control [J].
Chen, FD .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (02) :1452-1468
[6]   On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay [J].
Chen, FD .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 180 (01) :33-49
[7]   Positive periodic solutions of neutral Lotka-Volterra system with feedback control [J].
Chen, FD .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (03) :1279-1302
[8]   Sufficient conditions for the existence positive periodic solutions of a class of neutral delay models with feedback control [J].
Chen, FD ;
Lin, FX ;
Chen, XX .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) :45-68
[9]  
CHEN XX, IN PRESS NONLINEAR A
[10]  
CUI JA, 1993, SYSTEMS SCI MATH SCI, V6, P44
1234