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author:

Han, Rongyu (Han, Rongyu.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德) | Xie, Xiangdong (Xie, Xiangdong.) [3] | Miao, Zhanshuai (Miao, Zhanshuai.) [4]

Indexed by:

Scopus SCIE

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 b(i) not equal 0, i = 1, 2, 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.

Keyword:

feedback controls global stability Lyapunov function May cooperative system

Community:

  • [ 1 ] [Han, Rongyu]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 3 ] [Miao, Zhanshuai]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 4 ] [Xie, Xiangdong]Ningde Normal Univ, Dept Math, Ningde 352300, Fujian, Peoples R China

Reprint 's Address:

  • 陈凤德

    [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 2015

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:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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