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author:

Han, R. (Han, R..) [1] | Chen, F. (Chen, F..) [2] | Xie, X. (Xie, X..) [3] | Miao, Z. (Miao, Z..) [4]

Indexed by:

Scopus

Abstract:

In this paper, a May cooperative system with feedback controls is proposed and studied. The dynamic behaviors of the system are discussed by using the Lyapunov function method. If (Formula Presented), we show that feedback control variables have no influence on the global stability of the unique positive equilibrium of the system, which means that feedback control variables only change the position of the positive equilibrium and retain its global stability property. If bi=0, i=1,2, we can make the system which has a unique globally stable equilibrium or has unboundedly large solutions become globally stable. Some examples are given to illustrate the feasibility of the main results. © 2015, Han et al.

Keyword:

feedback controls; global stability; Lyapunov function; May cooperative system

Community:

  • [ 1 ] [Han, R.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China
  • [ 2 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China
  • [ 3 ] [Xie, X.]Department of Mathematics, Ningde Normal University, Ningde, Fujian 352300, China
  • [ 4 ] [Miao, Z.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China

Reprint 's Address:

  • [Chen, F.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

Advances in Difference Equations

ISSN: 1687-1839

Year: 2015

Issue: 1

Volume: 2015

Page: 1-10

0 . 2 9 7

JCR@2015

3 . 1 0 0

JCR@2023

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 22

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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