An attraction-repulsion chemotaxis with logistic source involving the exponents depending on the spatial variables

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dc.contributor.authorAyazoglu, Rabil
dc.date.accessioned2026-02-28T12:17:41Z
dc.date.available2026-02-28T12:17:41Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractWe study the quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type with logistic source involving the exponents depending on the spatial variables: u(t )= Delta u-chi del & sdot; (u (u+1)(r-1)del upsilon) + xi del & sdot; (u (u+1)(r-1)del omega) + au-bu(m(x)), 0 = Delta upsilon-beta upsilon + alpha u, 0 = Delta omega - delta omega + gamma u, where alpha, beta, delta, gamma, chi, xi, b > 0, a >= 0, r is an element of R and m: Omega -> (1, infinity) is a measurable function, subject to the homogeneous Neumann boundary conditions in a bounded domain R-N (N >= 1) with smooth boundary. We prove that this system possesses a unique global bounded classical solution, which is an extension of known results, if the repulsion cancels the attraction in the sense that (balance) chi alpha = xi gamma with ess inf(x is an element of Omega)m(x)>{r+(N-2)(+)/N, 1}, and if the attraction prevails over the repulsion in the sense that chi alpha > xi gamma with ess inf(x is an element of Omega)m(x) > max {r+1, 1}, and if the repulsion prevails over the attraction in the sense that chi alpha < xi gamma.
dc.identifier.doi10.1007/s00033-024-02394-6
dc.identifier.issn0044-2275
dc.identifier.issn1420-9039
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85213061939
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s00033-024-02394-6
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5917
dc.identifier.volume76
dc.identifier.wosWOS:001386049100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Int Publ Ag
dc.relation.ispartofZeitschrift Fur Angewandte Mathematik Und Physik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectAttraction-repulsion
dc.subjectChemotaxis system
dc.subjectLogistic source involving the exponents depending on the spatial variables
dc.subjectGlobal boundedness
dc.titleAn attraction-repulsion chemotaxis with logistic source involving the exponents depending on the spatial variables
dc.typeArticle

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