Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Preypredator Model with Allee Effect and Immigration Parameter on Prey

dc.contributor.authorKangalgil, Figen
dc.contributor.authorGümüşboğa, Feda
dc.date.accessioned2024-09-25T20:17:01Z
dc.date.available2024-09-25T20:17:01Z
dc.date.issued2022
dc.departmentAbant İzzet Baysal Üniversitesien_US
dc.description.abstractThis article is about the dynamics of a discrete-time prey-predator system with Allee effect and immigration parameter on prey population. Particularly, we study existence and local asymptotic stability of the unique positive fixed point. Furthermore, the conditions for the existence of bifurcation in the system are derived. In addition, it is shown that the system goes through period-doubling bifurcation by using bifurcation theory and center manifold theorem. Eventually, numerical examples are given to illustrate theoretical results.en_US
dc.identifier.doi10.17776/csj.1026330
dc.identifier.endpage97en_US
dc.identifier.issn2587-2680
dc.identifier.issn2587-246X
dc.identifier.issue1en_US
dc.identifier.startpage88en_US
dc.identifier.trdizinid1114652en_US
dc.identifier.urihttps://doi.org/10.17776/csj.1026330
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1114652
dc.identifier.urihttps://hdl.handle.net/20.500.12491/15379
dc.identifier.volume43en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofCumhuriyet Science Journalen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzYK_20240925en_US
dc.titlePeriod-doubling Bifurcation and Stability in a Two Dimensional Discrete Preypredator Model with Allee Effect and Immigration Parameter on Preyen_US
dc.typeArticleen_US

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