Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect

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dc.contributor.authorNaik, Parvaiz Ahmad
dc.contributor.authorEskandari, Zohreh
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorZu, Jian
dc.date.accessioned2024-02-23T14:02:22Z
dc.date.available2024-02-23T14:02:22Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin-Berezovskaya prey-predator model. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. Further, for a better representation of the study, the complex dynamics of the model are investigated theoretically and numerically using MatcotM, which is a Matlab package. Some graphical representations of the model are presented to verify the obtained results. The outcome of the study reveals that the model undergoes multiple bifurcations including period-doubling, Neimark-Sacker, and strong resonance bifurcations. (C) 2022 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipResearch Fund for International Scientists (RFIS); National Natural Science Foundation of China [12150410306, 11971375]; China Postdoctoral Science Foundation [2019M663653]; TUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipThe authors appreciate the constructive remarks and suggestions of the editor and anonymous referees that helped to improve the presentation of the paper significantly. This study was supported by the Research Fund for International Scientists (RFIS) , National Natural Science Foundation of China (Grant No. 12150410306) , the National Natural Science Foundation of China (Grant No. 11971375) and the China Postdoctoral Science Foundation (Grant No. 2019M663653) . The funding body did not play any role in the design of the study and in writing the manuscript. M. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey) .en_US
dc.identifier.doi10.1016/j.cam.2022.114401
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-85130916387en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2022.114401
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11680
dc.identifier.volume413en_US
dc.identifier.wosWOS:000811819000004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal Of Computational And Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPrey-Predator Modelen_US
dc.subjectNormal Form Coefficienten_US
dc.subjectBifurcationen_US
dc.subjectPeriod-Doubling Bifurcationen_US
dc.subjectNeimark-Sacker Bifurcationen_US
dc.subjectStrong Resonance Bifurcationsen_US
dc.titleComplex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effecten_US
dc.typeArticleen_US

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