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author:

Xia, Y. (Xia, Y..) [1] | Cao, J. (Cao, J..) [2] | Zhang, H. (Zhang, H..) [3] | Chen, F. (Chen, F..) [4]

Indexed by:

Scopus

Abstract:

In this paper, the following almost periodic n-species competitive system with feedback controls {ẋi(t)=xi(t)[bi(t)- ∑j=1naij(t)xj(t)- ∑j=1,j≠incij(t)xi (t)xj(t)-di(t)ui(t)], u̇i(t)=ri(t)-ei(t)ui (t)+fi(t)xi(t),i=1,2,...,n, are studied by using the comparison theorem and constructing suitable Lyapunov function, where some important factors such as the effect of toxic and the age-structure are also considered simultaneously. Some sufficient conditions are obtained for the existence of a unique almost periodic solution of above model. Examples show that the obtained criteria are new, general, and easily verifiable. © 2004 Elsevier Inc. All rights reserved.

Keyword:

Almost periodic solution; Competitive system; Feedback controls; Global attractivity

Community:

  • [ 1 ] [Xia, Y.]Department of Mathematics, Southeast University, Nanjing 210096, China
  • [ 2 ] [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China
  • [ 3 ] [Zhang, H.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China
  • [ 4 ] [Chen, F.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Reprint 's Address:

  • [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China

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Source :

Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Year: 2004

Issue: 2

Volume: 294

Page: 503-522

0 . 4 9

JCR@2004

1 . 2 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 65

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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