Translator Disclaimer
2012 Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers
Yujuan Jiao, Shengmao Fu
Abstr. Appl. Anal. 2012: 1-25 (2012). DOI: 10.1155/2012/183285

Abstract

We consider a strongly coupled predator-prey model with one resource and two consumers, in which the first consumer species feeds on the resource according to the Holling II functional response, while the second consumer species feeds on the resource following the Beddington-DeAngelis functional response, and they compete for the common resource. Using the energy estimates and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions for the model are proved. Meanwhile, the sufficient conditions for global asymptotic stability of the positive equilibrium for this model are given by constructing a Lyapunov function.

Citation

Download Citation

Yujuan Jiao. Shengmao Fu. "Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers." Abstr. Appl. Anal. 2012 1 - 25, 2012. https://doi.org/10.1155/2012/183285

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.35105
MathSciNet: MR2959743
Digital Object Identifier: 10.1155/2012/183285

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
25 PAGES


SHARE
Vol.2012 • 2012
Back to Top