Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay
Year: 2017
Author: Jie Xu, Naiwei Liu
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 194–202
Abstract
In this paper, we study a two-species periodic Beddington-DeAngelis predator-prey model with delay in a two-patch environment, in which the prey species can disperse between two patches, but the predator species cannot disperse. On the basis of the comparison theorem of differential equations, we establish sufficient conditions for the permanence and extinction of the system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20605
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 194–202
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: predator-prey system Beddington-DeAngelis functional response permanence time delay.