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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/695121 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555470699626496 |
|---|---|
| author | Hunki Baek Younghae Do |
| author_facet | Hunki Baek Younghae Do |
| author_sort | Hunki Baek |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-68729815cb35481a8916617e6ae8b039 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-68729815cb35481a8916617e6ae8b0392025-02-03T05:48:08ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/695121695121Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive PerturbationsHunki Baek0Younghae Do1Department of Mathematics, Kyungpook National University, Daegu 702-701, South KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, South KoreaWe 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.http://dx.doi.org/10.1155/2009/695121 |
| spellingShingle | Hunki Baek Younghae Do Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations Abstract and Applied Analysis |
| title | Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations |
| title_full | Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations |
| title_fullStr | Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations |
| title_full_unstemmed | Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations |
| title_short | Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations |
| title_sort | seasonal effects on a beddington deangelis type predator prey system with impulsive perturbations |
| url | http://dx.doi.org/10.1155/2009/695121 |
| work_keys_str_mv | AT hunkibaek seasonaleffectsonabeddingtondeangelistypepredatorpreysystemwithimpulsiveperturbations AT younghaedo seasonaleffectsonabeddingtondeangelistypepredatorpreysystemwithimpulsiveperturbations |