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dc.contributor.authorAl-Sharawi, Ziyad
dc.date.accessioned2020-06-04T08:53:15Z
dc.date.available2020-06-04T08:53:15Z
dc.date.issued2013
dc.identifier.citationAlSharawi, 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: 10.1155/2013/101649en_US
dc.identifier.issn1687-0409
dc.identifier.urihttp://hdl.handle.net/11073/16676
dc.description.abstractWe consider discrete models of the form 𝒳โ‚™โ‚Šโ‚= 𝒳โ‚™𝒇(𝒳โ‚™โ‚‹โ‚) + 𝒉โ‚™ , where 𝒉โ‚™ 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.en_US
dc.description.sponsorshipCollege of Arts and Sciencesen_US
dc.description.sponsorshipDepartment of Mathematics and Statisticsen_US
dc.language.isoen_USen_US
dc.publisherHindawien_US
dc.relation.ispartofseriesAmerican University of Sharjah Faculty Worken_US
dc.relation.urihttps://doi.org/10.1155/2013/101649en_US
dc.titleA Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stockingen_US
dc.typePeer-Revieweden_US
dc.typeArticleen_US
dc.typePublished versionen_US
dc.identifier.doi10.1155/2013/101649
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