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author:

Chen, F. (Chen, F..) [1] | You, M. (You, M..) [2]

Indexed by:

Scopus

Abstract:

In this paper, we study the permanence, extinction and periodic solution of the periodic predator-prey system with Beddington-DeAngelis functional response and stage structure for prey. A set of sufficient and necessary conditions which guarantee the predator and prey species to be permanent are obtained. In addition, sufficient conditions are derived for the existence of positive periodic solutions to the system. Numeric simulations show the feasibility of the main results. © 2006.

Keyword:

Beddington-DeAngelis functional response; Extinction; Periodic solution; Permanence; Predator; Prey; Stage structure

Community:

  • [ 1 ] [Chen, F.]Institute of Applied Ecology, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China
  • [ 2 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 3 ] [You, M.]Institute of Applied Ecology, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China

Reprint 's Address:

  • [You, M.]Institute of Applied Ecology, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China

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Source :

Nonlinear Analysis: Real World Applications

ISSN: 1468-1218

Year: 2008

Issue: 2

Volume: 9

Page: 207-221

1 . 7 7 8

JCR@2008

1 . 8 0 0

JCR@2023

JCR Journal Grade:1

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: 1

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