Global Existence in a Predator-Prey Model with Nonlinear Indirect Chemotaxis Mechanism

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dc.contributor.authorAkkoyunlu, Ebubekir
dc.date.accessioned2026-02-28T11:57:59Z
dc.date.available2026-02-28T11:57:59Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractOne of the fundamental processes in ecology is the interaction between predator and prey. Predator-prey interactions refer to the relative changes in population density of two species as they share the same environment and one species preys on the other. There are many studies global existence or blow-up of solutions on the predator-prey model. Our this paper related to the predator-prey model with nonlinear indirect chemotaxis mechanism under homogeneous Neumann boundary conditions. We establish the global existence and boundedness of classical solutions of our problem by using parabolic regularity theory. Namely, firstly we show that u and ? boundedness in L^p for some p>1, then we obtain the L^?-bound of u and ? by using Alikakos-Moser iteration. Thus, it is proved that the model has a unique global classical solution under suitable conditions on the parameters in a smooth bounded domain.
dc.identifier.doi10.21597/jist.1550265
dc.identifier.endpage1716
dc.identifier.issn2146-0574
dc.identifier.issn2536-4618
dc.identifier.issue4
dc.identifier.startpage1705
dc.identifier.trdizinid1284955
dc.identifier.urihttps://doi.org/10.21597/jist.1550265
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1284955
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5290
dc.identifier.volume14
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofIğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR-Dizin_20260218
dc.subject• Predator-prey model
dc.subject• Indirect chemotaxis mechanism
dc.subject• Global boundedness
dc.titleGlobal Existence in a Predator-Prey Model with Nonlinear Indirect Chemotaxis Mechanism
dc.typeArticle

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