Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response
Joint Authors
Khellaf, Wahiba
Hamri, Nasreddine
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-23
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We study the qualitative behavior of a class of predator-prey models with Beddington-DeAngelis-type functional response, primarily from the viewpoint of permanence (uniform persistence).
The Beddington-DeAngelis functional response is similar to the Holling type-II functional response but contains a term describing mutual interference by predators.
We establish criteria under which we have boundedness of solutions, existence of an attracting set, and global stability of the coexisting interior equilibrium via Lyapunov function.
American Psychological Association (APA)
Khellaf, Wahiba& Hamri, Nasreddine. 2010. Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-989224
Modern Language Association (MLA)
Khellaf, Wahiba& Hamri, Nasreddine. Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response. International Journal of Differential Equations No. 2010 (2010), pp.1-24.
https://search.emarefa.net/detail/BIM-989224
American Medical Association (AMA)
Khellaf, Wahiba& Hamri, Nasreddine. Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response. International Journal of Differential Equations. 2010. Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-989224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-989224