Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-08
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated.
With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington-DeAngelis functional responses is proposed.
By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive solutions of the model are established.
American Psychological Association (APA)
Xu, Changjin& Liao, Maoxin. 2011. Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-512387
Modern Language Association (MLA)
Xu, Changjin& Liao, Maoxin. Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-512387
American Medical Association (AMA)
Xu, Changjin& Liao, Maoxin. Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-512387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512387