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2009 Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations
Hunki Baek, Younghae Do
Abstr. Appl. Anal. 2009: 1-19 (2009). DOI: 10.1155/2009/695121

Abstract

We study a Beddington-DeAngelis type predator-prey system with impulsive perturbation and seasonal effects. First, we numerically observe the influence of seasonal effects on the system without impulsive perturbations. Next, we find the conditions for the local and global stabilities of prey-free periodic solutions by using Floquet theory for the impulsive equation and small amplitude perturbation skills, and for the permanence of the system via comparison theorem. Finally, we show that seasonal effects and impulsive perturbation can give birth to various kinds of dynamical behavior of the system including chaotic phenomena by numerical simulations.

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Hunki Baek. Younghae Do. "Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations." Abstr. Appl. Anal. 2009 1 - 19, 2009. https://doi.org/10.1155/2009/695121

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1187.34058
MathSciNet: MR2559280
Digital Object Identifier: 10.1155/2009/695121

Rights: Copyright © 2009 Hindawi

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