Analysis of an Impulsive Predator-Prey System with Monod-Haldane Functional Response and Seasonal Effects

For a class of impulsive predator-prey systems with Monod-Haldane functional response and seasonal effects, we investigate conditions for the local and global stabilities of prey-free solutions and for the permanence of the system by using the Flquet theory of impulsive differential equations and co...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2009-01, Vol.2009 (1), p.11-26-101
Main Authors: Baek, Hunki, Do, Younghae, Saito, Yasuhisa
Format: Article
Language:English
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Summary:For a class of impulsive predator-prey systems with Monod-Haldane functional response and seasonal effects, we investigate conditions for the local and global stabilities of prey-free solutions and for the permanence of the system by using the Flquet theory of impulsive differential equations and comparison techniques. In addition, we numerically analyze the phenomena caused by seasonal effects and impulsive perturbation. It will be applicable to the controllability for the population of prey and predator.
ISSN:1024-123X
1563-5147
DOI:10.1155/2009/543187