Global attractors in a two-species chemotaxis system with two chemicals and variable logistic sources

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dc.contributor.authorAyazoglu, Rabil A.
dc.contributor.authorSalmanova, Kamala A.
dc.date.accessioned2026-02-28T12:09:10Z
dc.date.available2026-02-28T12:09:10Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractThis paper deals with the higher dimension quasilinear parabolic-parabolic chemotaxis model involving a source term of logistic type (formula presented), subject to the homogeneous Neumann boundary conditions in a ? ? RN (N ? 1) with smooth boundary. It is shown that for the attractionrepulsion case with ?<inf>2</inf> ? 0, the global boundedness of solutions can be ensured by µ<inf>1</inf>, µ<inf>2</inf> > 0 without any other assumptions, due to the contribution of the logistic sources included in addition to the repulsion mechanism. While for the attraction-attraction case with ?<inf>2</inf> > 0, the global boundedness of solutions has to require logistic coefficients µ<inf>1</inf>, µ<inf>2</inf> > 0 such that µ<inf>2</inf> properly large. © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
dc.identifier.doi10.30546/2617-7900.44.1.2024.20
dc.identifier.endpage30
dc.identifier.issn30058139
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85195126419
dc.identifier.scopusqualityQ3
dc.identifier.startpage20
dc.identifier.urihttps://doi.org/10.30546/2617-7900.44.1.2024.20
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5831
dc.identifier.volume44
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
dc.relation.ispartofTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_Scopus_20260218
dc.subjectglobal boundedness
dc.subjectTwo-species chemotaxis system
dc.subjectvariable logistic source
dc.titleGlobal attractors in a two-species chemotaxis system with two chemicals and variable logistic sources
dc.typeArticle

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