Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations

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 pe...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2009-01, Vol.2009 (1), p.858-876
Main Authors: Baek, Hunki, Do, Younghae
Format: Article
Language:English
Subjects:
Behavior
Dynamical systems
Growth rate
Pesticides
Studies
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/695121