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2010 Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response
Wahiba Khellaf, Nasreddine Hamri
Int. J. Differ. Equ. 2010: 1-24 (2010). DOI: 10.1155/2010/813289

Abstract

We study the qualitative behavior of a class of predator-prey models with Beddington-DeAngelis-type functional response, primarily from the viewpoint of permanence (uniform persistence). The Beddington-DeAngelis functional response is similar to the Holling type-II functional response but contains a term describing mutual interference by predators. We establish criteria under which we have boundedness of solutions, existence of an attracting set, and global stability of the coexisting interior equilibrium via Lyapunov function.

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Wahiba Khellaf. Nasreddine Hamri. "Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response." Int. J. Differ. Equ. 2010 1 - 24, 2010. https://doi.org/10.1155/2010/813289

Information

Received: 17 September 2009; Accepted: 19 April 2010; Published: 2010
First available in Project Euclid: 26 January 2017

zbMATH: 1204.34066
MathSciNet: MR2683913
Digital Object Identifier: 10.1155/2010/813289

Rights: Copyright © 2010 Hindawi

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