Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1679
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dc.contributor.authorKaraoğlu, E.-
dc.contributor.authorMerdan, Hüseyin-
dc.date.accessioned2019-07-04T14:19:41Z
dc.date.available2019-07-04T14:19:41Z
dc.date.issued2014-01
dc.identifier.citationKaraoglu, E., & Merdan, H. (2014). Hopf bifurcation analysis for a ratio-dependent predator–prey system involving two delays. The Anziam Journal, 55(3), 214-231.en_US
dc.identifier.issn1446-1811
dc.identifier.urihttps://doi.org/10.1017/S1446181114000054-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1679-
dc.description.abstractThe aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predator-prey system involving two discrete delays. A delay parameter is chosen as the bifurcation parameter for the analysis. Stability of the bifurcating periodic solutions is determined by using the centre manifold theorem and the normal form theory introduced by Hassard et al. Some of the bifurcation properties including the direction, stability and period are given. Finally, our theoretical results are supported by some numerical simulations.en_US
dc.language.isoenen_US
dc.publisherCambridge University Pressen_US
dc.relation.ispartofAnziam Journalen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf bifurcationen_US
dc.subjectdelay differential equationen_US
dc.subjecttime delayen_US
dc.subjectstabilityen_US
dc.subjectperiodic solutionsen_US
dc.subjectpopulation dynamicsen_US
dc.titleHopf Bifurcatıon Analysis For A Ratio-dependent Predator-prey System Involving Two Delaysen_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.volume55
dc.identifier.issue3
dc.identifier.startpage214
dc.identifier.endpage231
dc.identifier.wosWOS:000339625400002en_US
dc.identifier.scopus2-s2.0-84904041525en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1017/S1446181114000054-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept07.03. Department of Mathematics-
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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