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

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dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorSalmanova, Kamala A.
dc.date.accessioned2024-10-04T18:58:41Z
dc.date.available2024-10-04T18:58:41Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
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 ?2 ? 0, the global boundedness of solutions can be ensured by µ1, µ2 > 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 ?2 > 0, the global boundedness of solutions has to require logistic coefficients µ1, µ2 > 0 such that µ2 properly large. © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.en_US
dc.identifier.doi10.30546/2617-7900.44.1.2024.20
dc.identifier.endpage30en_US
dc.identifier.issn2306-2193
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85195126419en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage20en_US
dc.identifier.urihttps://doi.org/10.30546/2617-7900.44.1.2024.20
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3976
dc.identifier.volume44en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijanen_US
dc.relation.ispartofTransactions Issue Mathematics, Azerbaijan National Academy of Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectglobal boundednessen_US
dc.subjectTwo-species chemotaxis systemen_US
dc.subjectvariable logistic sourceen_US
dc.titleGlobal attractors in a two-species chemotaxis system with two chemicals and variable logistic sourcesen_US
dc.typeArticleen_US

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