Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations
Joint Authors
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-29
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Baek, Hunki& Do, Younghae. 2009. Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-491241
Modern Language Association (MLA)
Baek, Hunki& Do, Younghae. Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations. Abstract and Applied Analysis No. 2009 (2009), pp.1-19.
https://search.emarefa.net/detail/BIM-491241
American Medical Association (AMA)
Baek, Hunki& Do, Younghae. Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-491241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491241