A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking
We consider discrete models of the form ₙ₊₁= ₙ(ₙ₋₁) + ₙ , where ₙ is a nonnegative -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 theor...
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2013
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| Online Access: | http://hdl.handle.net/11073/16676 |
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| _version_ | 1864513440738967552 |
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| author | Al-Sharawi, Ziyad |
| author_facet | Al-Sharawi, Ziyad |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad |
| dc.date.none.fl_str_mv | 2013 2020-06-04T08:53:15Z 2020-06-04T08:53:15Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z. (2013). A global attractor in some discrete contest competition models with delay under the effect of periodic stocking. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/101649 1687-0409 http://hdl.handle.net/11073/16676 10.1155/2013/101649 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Hindawi |
| dc.relation.none.fl_str_mv | https://doi.org/10.1155/2013/101649 |
| dc.title.none.fl_str_mv | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We consider discrete models of the form ₙ₊₁= ₙ(ₙ₋₁) + ₙ , where ₙ is a nonnegative -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 -periodic solution when = 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. |
| format | article |
| id | aus_0b11604e49bcd8e0b03bf3f5cf4b7509 |
| identifier_str_mv | AlSharawi, Z. (2013). A global attractor in some discrete contest competition models with delay under the effect of periodic stocking. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/101649 1687-0409 10.1155/2013/101649 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16676 |
| publishDate | 2013 |
| publisher.none.fl_str_mv | Hindawi |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic StockingAl-Sharawi, ZiyadWe consider discrete models of the form ₙ₊₁= ₙ(ₙ₋₁) + ₙ , where ₙ is a nonnegative -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 -periodic solution when = 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.Hindawi2020-06-04T08:53:15Z2020-06-04T08:53:15Z2013Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z. (2013). A global attractor in some discrete contest competition models with delay under the effect of periodic stocking. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/1016491687-0409http://hdl.handle.net/11073/1667610.1155/2013/101649en_UShttps://doi.org/10.1155/2013/101649oai:repository.aus.edu:11073/166762024-08-22T12:01:44Z |
| spellingShingle | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking Al-Sharawi, Ziyad |
| status_str | publishedVersion |
| title | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| title_full | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| title_fullStr | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| title_full_unstemmed | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| title_short | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| title_sort | A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking |
| url | http://hdl.handle.net/11073/16676 |