A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider discrete models of the form xn+1=xnf(xn−1)+hn, where hn is a nonnegative p-periodic sequence representing stocking in the population, and investigate their dynamics.
Under certain conditions on the recruitment function f(x), we give a compact invariant region and use Brouwer fixed point theorem to prove the existence of a p-periodic solution.
Also, we prove the global attractivity of the p-periodic solution when p=2.
In particular, this study gives theoretical results attesting to the belief that stocking (whether it is constant or periodic) preserves the global attractivity of the periodic solution in contest competition models with short delay.
Finally, as an illustrative example, we discuss Pielou's model with periodic stocking.
American Psychological Association (APA)
AlSharawi, Ziyad. 2013. A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-446389
Modern Language Association (MLA)
AlSharawi, Ziyad. A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-446389
American Medical Association (AMA)
AlSharawi, Ziyad. A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-446389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446389