Dynamics of a Predator-Prey System with Beddington-DeAngelis Functional Response and Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider a predator-prey system with Beddington-DeAngelis functional response and delays, in which not only the stage structure on prey but also the delay due to digestion is considered.
First, we give a sufficient and necessary condition for the existence of a unique positive equilibrium by analyzing the corresponding locations of a hyperbolic curve and a line.
Then, by constructing an appropriate Lyapunov function, we prove that the positive equilibrium is locally asymptotically stable under a sufficient condition.
Finally, by using comparison theorem and the ω-limit set theory, we study the global asymptotic stability of the boundary equilibrium and the positive equilibrium, respectively.
Also, we obtain a sufficient condition to assure the global asymptotic stability.
American Psychological Association (APA)
Liu, Nai-Wei& Kong, Ting-Ting. 2014. Dynamics of a Predator-Prey System with Beddington-DeAngelis Functional Response and Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015082
Modern Language Association (MLA)
Liu, Nai-Wei& Kong, Ting-Ting. Dynamics of a Predator-Prey System with Beddington-DeAngelis Functional Response and Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1015082
American Medical Association (AMA)
Liu, Nai-Wei& Kong, Ting-Ting. Dynamics of a Predator-Prey System with Beddington-DeAngelis Functional Response and Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015082