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author:

Chen, Liujuan (Chen, Liujuan.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德) | Wang, Yiqin (Wang, Yiqin.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

A Lotka-Volterra predator-prey model incorporating a constant number of prey using refuges and mutual interference for predator species is presented. By applying the divergency criterion and theories on exceptional directions and normal sectors, we show that the interior equilibrium is always globally asymptotically stable and two boundary equilibria are both saddle points. Our results indicate that prey refuge has no influence on the coexistence of predator and prey species of the considered model under the effects of mutual interference for predator species, which differently from the conclusion without predator mutual interference, thus improving some known ones. Numerical simulations are performed to illustrate the validity of our results. (C) 2013 Elsevier B. V. All rights reserved.

Keyword:

Divergency criterion Exceptional direction Global stability Normal sector

Community:

  • [ 1 ] [Chen, Liujuan]Fujian Inst Educ, Dept Sci Training, Fuzhou 350025, Fujian, Peoples R China
  • [ 2 ] [Wang, Yiqin]Fujian Inst Educ, Dept Sci Training, Fuzhou 350025, Fujian, Peoples R China
  • [ 3 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

Reprint 's Address:

  • [Chen, Liujuan]Fujian Inst Educ, Dept Sci Training, Fuzhou 350025, Fujian, Peoples R China

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Related Keywords:

Source :

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

ISSN: 1007-5704

CN: 11-3737/N

Year: 2013

Issue: 11

Volume: 18

Page: 3174-3180

2 . 5 6 9

JCR@2013

3 . 4 0 0

JCR@2023

ESI Discipline: PHYSICS;

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 32

SCOPUS Cited Count: 39

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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