Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1678
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dc.contributor.authorKaraoğlu, Esra-
dc.contributor.authorMerdan, Hüseyin-
dc.date.accessioned2019-07-04T14:19:41Z
dc.date.available2019-07-04T14:19:41Z
dc.date.issued2014-11
dc.identifier.citationKaraoglu, E., & Merdan, H. (2014). Hopf bifurcations of a ratio-dependent predator–prey model involving two discrete maturation time delays. Chaos, Solitons & Fractals, 68, 159-168.en_US
dc.identifier.issn0960-0779
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2014.07.011-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1678-
dc.description.abstractIn this paper we give a detailed Hopf bifurcation analysis of a ratio-dependent predator prey system involving two different discrete delays. By analyzing the characteristic equation associated with the model, its linear stability is investigated. Choosing delay terms as bifurcation parameters the existence of Hopf bifurcations is demonstrated. Stability of the bifurcating periodic solutions is determined by using the center manifold theorem and the normal form theory introduced by Hassard et al. Furthermore, some of the bifurcation properties including direction, stability and period are given. Finally, theoretical results are supported by some numerical simulations. (C) 2014 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipTUBITAK (Scientific and Technological Research Council of Turkey)en_US
dc.language.isoenen_US
dc.publisherElsevier Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNeural-Network Modelen_US
dc.subjectDifferentıal Equationsen_US
dc.subjectFunctional-Responseen_US
dc.subjectStabilityen_US
dc.subjectSystemen_US
dc.titleHopf Bifurcations of a Ratio-Dependent Predator-Prey Model Involving Two Discrete Maturation Time 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.volume68
dc.identifier.startpage159
dc.identifier.endpage168
dc.identifier.wosWOS:000343375100017en_US
dc.identifier.scopus2-s2.0-84907207237en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1016/j.chaos.2014.07.011-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
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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