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2012 Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations
Xiaoming Fan, Zhigang Wang, Fuquan Jiang
Abstr. Appl. Anal. 2012: 1-33 (2012). DOI: 10.1155/2012/963486

Abstract

We explore the dynamics of a class of mutualism-competition-predator interaction models with Beddington-DeAngelis functional responses and impulsive perturbations. Sufficient conditions for existence of positive periodic solution are established by using a continuation theorem in coincidence degree theory, which have been extensively applied in studying existence problems in differential equations and difference equations. In addition, sufficient criteria are given for the global stability and the globally exponential stability of system by employing comparison principle and Lyapunov method.

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Xiaoming Fan. Zhigang Wang. Fuquan Jiang. "Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations." Abstr. Appl. Anal. 2012 1 - 33, 2012. https://doi.org/10.1155/2012/963486

Information

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

zbMATH: 1253.92046
MathSciNet: MR2955021
Digital Object Identifier: 10.1155/2012/963486

Rights: Copyright © 2012 Hindawi

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