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author:

He, Mengxin (He, Mengxin.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

Abstract:

The dynamic behaviors of an impulsive periodic predator-prey model with n-preys and m-predators are studied in this paper. By constructing a suitable Lyapunov function and using the Comparison theorem of impulsive differential equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. At the same time, a set of criteria which guarantee that some species in the system are permanent and globally attractive while the remaining species are driven to extinction is obtained. Our results show that, for the multi-species predator-prey community, impulsivity is one of the important reasons that can change the long time behaviors of species. (C) 2008 Elsevier Ltd. All rights reserved.

Keyword:

Extinction Global attractivity Impulsive Permanence Predator-prey

Community:

  • [ 1 ] [He, Mengxin]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

Reprint 's Address:

  • 陈凤德

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

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Source :

COMPUTERS & MATHEMATICS WITH APPLICATIONS

ISSN: 0898-1221

Year: 2009

Issue: 2

Volume: 57

Page: 248-265

1 . 1 9 2

JCR@2009

2 . 9 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 27

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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