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author:

Chen, Fengde (Chen, Fengde.) [1] (Scholars:陈凤德) | Liao, Xinyuan (Liao, Xinyuan.) [2] | Huang, Zhenkun (Huang, Zhenkun.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

almost periodic solution cooperation system feedback controls global attractivity periodic solution permanence

Community:

  • [ 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

Reprint 's Address:

  • 陈凤德

    [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2006

Issue: 2

Volume: 181

Page: 803-815

0 . 8 1 6

JCR@2006

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 33

SCOPUS Cited Count: 33

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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