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Volume 33, Issue 2
Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay

Jie Xu & Naiwei Liu

Ann. Appl. Math., 33 (2017), pp. 194-202.

Published online: 2022-06

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  • 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.

  • Keywords

predator-prey system, Beddington-DeAngelis functional response, permanence, time delay.

  • AMS Subject Headings

34D23

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-194, author = {Xu , Jie and Liu , Naiwei}, title = {Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20605.html} }
TY - JOUR T1 - Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay AU - Xu , Jie AU - Liu , Naiwei JO - Annals of Applied Mathematics VL - 2 SP - 194 EP - 202 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20605.html KW - predator-prey system, Beddington-DeAngelis functional response, permanence, time delay. AB -

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.

Xu , Jie and Liu , Naiwei. (2022). Permanence of Periodic Beddington-DeAngelis Predator-Prey System in a Two-Patch Environment with Delay. Annals of Applied Mathematics. 33 (2). 194-202. doi:
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