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Permanence of periodic Beddington-DeAngelis predator-prey system in a two-patch environment with delay
XU Jie #,LIU Nai-Wei *
School of Mathematics and Information Science, University of Yantai, Yantai 264005
*Correspondence author
#Submitted by
Subject:
Funding: China Postdoctoral Science Foundation Funded Project（No.2014M560546）, NSFC（No.11371179, 11401513）
Opened online:21 March 2017
Accepted by: none
Citation: XU Jie,LIU Nai-Wei.Permanence of periodic Beddington-DeAngelis predator-prey system in a two-patch environment with delay[OL]. [21 March 2017] http://en.paper.edu.cn/en_releasepaper/content/4721635
 
 
In this paper, we study a two-species periodic Beddington-DeAngelispredator-prey model with delay in a two-patch environment, in whichthe prey species can disperse between two patches, but the predatorspecies cannot disperse. On the basis of the comparison theorem ofdifferential equations, and by constructing appropriate $V$-function, we establish sufficient conditions for thepermanence and extinction of the system.
Keywords:Predator-prey system; Beddington-DeAngelis functional response; Permanence; Time delay
 
 
 

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