Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7679
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dc.contributor.authorÇelik, Canan-
dc.date.accessioned2021-09-11T15:58:48Z-
dc.date.available2021-09-11T15:58:48Z-
dc.date.issued2008en_US
dc.identifier.issn0960-0779-
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2007.10.045-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7679-
dc.description.abstractIn this paper, we consider a predator-prey system with time delay where the predator dynamics is logistic with the carrying capacity proportional to prey population. We study the impact of the time delay on the stability of the model and by choosing the delay time tau as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay time tau passes some critical values. Using normal form theory and central manifold argument, we also establish the direction and the stability of Hopf bifurcation. Finally, we perform numerical simulations to support our theoretical results. (C) 2007 Elsevier Ltd. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject[No Keywords]en_US
dc.titleThe Stability and Hopf Bifurcation for a Predator-Prey System With Time Delayen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume37en_US
dc.identifier.issue1en_US
dc.identifier.startpage87en_US
dc.identifier.endpage99en_US
dc.identifier.wosWOS:000254570300011en_US
dc.identifier.scopus2-s2.0-39249084076en_US
dc.institutionauthorÇelik, Canan-
dc.identifier.doi10.1016/j.chaos.2007.10.045-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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