Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1676
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dc.contributor.authorYafia, R.-
dc.contributor.authorAziz-Alaoui, M. A.-
dc.contributor.authorMerdan, Hüseyin-
dc.contributor.authorTewa, J. J.-
dc.date.accessioned2019-07-04T14:19:41Z-
dc.date.available2019-07-04T14:19:41Z-
dc.date.issued2015-06-
dc.identifier.citationYafia, R., Aziz-Alaoui, M. A., Merdan, H., & Tewa, J. J. (2015). Bifurcation and Stability in a Delayed Predator–Prey Model with Mixed Functional Responses. International Journal of Bifurcation and Chaos, 25(07), 1540014.en_US
dc.identifier.issn0218-1274-
dc.identifier.othernumber of pages 17-
dc.identifier.urihttps://doi.org/10.1142/S0218127415400143-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1676-
dc.description.abstractThe model analyzed in this paper is based on the model set forth by Aziz Alaoui et al. [Aziz Alaoui & Daher Okiye, 2003; Nindjin et al., 2006] with time delay, which describes the competition between the predator and prey. This model incorporates a modified version of the Leslie-Gower functional response as well as that of Beddington-DeAngelis. In this paper, we consider the model with one delay consisting of a unique nontrivial equilibrium E* and three others which are trivial. Their dynamics are studied in terms of local and global stabilities and of the description of Hopf bifurcation at E*. At the third trivial equilibrium, the existence of the Hopf bifurcation is proven as the delay (taken as a parameter of bifurcation) that crosses some critical values.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publishing Co. Pte Ltden_US
dc.relation.ispartofInternational Journal Of Bifurcation And Chaosen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPredator prey modelen_US
dc.subjectmixed functional responsesen_US
dc.subjectdelay differential equationsen_US
dc.subjectlocal and global stabilityen_US
dc.subjectHopf bifurcationen_US
dc.titleBifurcation and Stability in a Delayed Predator-Prey Model With Mixed Functional Responsesen_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.volume25-
dc.identifier.issue7-
dc.identifier.wosWOS:000358074700015en_US
dc.identifier.scopus2-s2.0-84937151209en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1142/S0218127415400143-
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-
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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