A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking

Ziyad AlSharawi

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

We consider discrete models of the form , where is a nonnegative p -periodic sequence representing stocking in the population, and investigate their dynamics. Under certain conditions on the recruitment function , 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 . 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.

Date: 2013
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2013/101649.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2013/101649.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:101649

DOI: 10.1155/2013/101649

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem (mohamed.abdelhakeem@hindawi.com).