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author:

He, M. (He, M..) [1] | Li, Z. (Li, Z..) [2] | Chen, F. (Chen, F..) [3]

Indexed by:

Scopus

Abstract:

In this paper, a periodic n-species Gilpin-Ayala competition system with impulses is studied. By constructing a suitable Lyapunov function and using the comparison theorem of impulsive differential equations, a set of sufficient conditions which guarantee that some species in the system are permanent and globally attractive while the remaining species are driven to extinction are obtained. Our results show that the dynamic behaviors of the system we considered are quite different from the corresponding system without impulses. © 2009 Elsevier Ltd. All rights reserved.

Keyword:

Extinction; Gilpin-Ayala; Global attractivity; Permanence

Community:

  • [ 1 ] [He, M.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 2 ] [Li, Z.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 3 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Reprint 's Address:

  • [He, M.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

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Source :

Nonlinear Analysis: Real World Applications

ISSN: 1468-1218

Year: 2010

Issue: 3

Volume: 11

Page: 1537-1551

2 . 1 3 8

JCR@2010

1 . 8 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 43

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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