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author:

Ma, Zhaozhi (Ma, Zhaozhi.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德) | Wu, Chengqiang (Wu, Chengqiang.) [3] (Scholars:吴承强) | Chen, Wanlin (Chen, Wanlin.) [4]

Indexed by:

EI Scopus SCIE

Abstract:

A Lotka-Volterra predator-prey model incorporating a prey refuge and mutual interference of predator species is considered in this paper. By developing some new analysis technique, we are able to show that the two boundary equilibria are both saddle points and the interior equilibrium is globally asymptotically stable. Those results implicate that in the Lotka-Volterra predator-prey system, the stabilizing effect of the mutual interference of predator species dominate the destabilizing effects of prey refuge. (C) 2013 Elsevier Inc. All rights reserved.

Keyword:

Lotka-Volterra predator-prey model Mutual interference Prey refuge Stability

Community:

  • [ 1 ] [Ma, Zhaozhi]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
  • [ 3 ] [Wu, Chengqiang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China
  • [ 4 ] [Chen, Wanlin]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 :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2013

Issue: 15

Volume: 219

Page: 7945-7953

1 . 6

JCR@2013

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:2

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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