Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3982
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dc.contributor.authorBaydemir, Pınar-
dc.contributor.authorMerdan, Hüseyin-
dc.contributor.authorKaraoğlu, Esra-
dc.contributor.authorSucu, Gökçe-
dc.date.accessioned2021-01-22T06:22:27Z-
dc.date.available2021-01-22T06:22:27Z-
dc.date.issued2020-08
dc.identifier.citationBaydemir, P., Merdan, H., Karaoglu, E., & Sucu, G. (2020). Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos. International Journal of Bifurcation and Chaos, 30(10), 2050149.en_US
dc.identifier.issn0218-1274
dc.identifier.otherarticle number 2050149
dc.identifier.urihttp://hdl.handle.net/20.500.11851/3982-
dc.identifier.urihttps://doi.org/10.1142/S0218127420501497-
dc.description.abstractDynamic behavior of a discrete-Time prey-predator system with Leslie type is analyzed. The discrete mathematical model was obtained by applying the forward Euler scheme to its continuous-Time counterpart. First, the local stability conditions of equilibrium point of this system are determined. Then, the conditions of existence for flip bifurcation and Neimark-Sacker bifurcation arising from this positive equilibrium point are investigated. More specifically, by choosing integral step size as a bifurcation parameter, these bifurcations are driven via center manifold theorem and normal form theory. Finally, numerical simulations are performed to support and extend the theoretical results. Analytical results show that an integral step size has a significant role on the dynamics of a discrete system. Numerical simulations support that enlarging the integral step size causes chaotic behavior.en_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofInternational Journal of Bifurcation and Chaosen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChaotic behavioren_US
dc.subjectNeimark–Sacker bifurcationen_US
dc.subjectflip bifurcationen_US
dc.subjectstability analysisen_US
dc.subjectdifference equationen_US
dc.titleComplex Dynamics of a Discrete-Time Prey-Predator System With Leslie Type: Stability, Bifurcation Analyses and Chaosen_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.volume30
dc.identifier.issue10
dc.identifier.wosWOS:000567774200012en_US
dc.identifier.scopus2-s2.0-85090850963en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1142/S0218127420501497-
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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