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author:

Chen, Liujuan (Chen, Liujuan.) [1] | Chen, Fengde (Chen, Fengde.) [2] | Wang, Yiqin (Wang, Yiqin.) [3]

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EI

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. © 2013 Elsevier B.V.

Keyword:

Computer simulation Numerical analysis Predator prey systems

Community:

  • [ 1 ] [Chen, Liujuan]Department of Science Training, Fujian Institute of Education, Fuzhou, Fujian 350025, China
  • [ 2 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 3 ] [Wang, Yiqin]Department of Science Training, Fujian Institute of Education, Fuzhou, Fujian 350025, China

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Source :

Communications in Nonlinear Science and Numerical Simulation

ISSN: 1007-5704

Year: 2013

Issue: 11

Volume: 18

Page: 3174-3180

2 . 5 6 9

JCR@2013

3 . 4 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 37

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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