Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions

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dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorSimsek, Ramazan
dc.date.accessioned2026-02-28T12:17:56Z
dc.date.available2026-02-28T12:17:56Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractThis paper considers the global boundedness of solutions to the parabolic-elliptic chemotaxis system with a logistic source involving exponents that depend on spatial variables and nonlinear signal production: {u(t) = u-chi del . (u del upsilon) + u (eta - mu u(alpha(x))) , (x, t) is an element of Omega x (0, T), 0 = upsilon - upsilon + u sigma, (x, t) is an element of Omega x (0, T), where eta >= 0, mu, sigma > 0, and alpha : Omega -> (0, infinity) is a measurable function, subject to the homogeneous Neumann boundary conditions in a if either sigma < max {ess inf(x is an element of Omega) alpha (x) , 2 bounded domain R-N (N >= 1) with smooth boundary. We prove that }, chi > 0 or ess inf(x is an element of Omega) alpha (x) < N sigma chi>0 or sigma=essinfx is an element of Omega alpha(x)>= (2)/(N) with mu > (N sigma -2)/ (N sigma) chi, chi > 0 or chi<0, then the above system possesses a unique global bounded classical solution.
dc.identifier.doi10.1080/00036811.2025.2556126
dc.identifier.issn0003-6811
dc.identifier.issn1563-504X
dc.identifier.scopus2-s2.0-105016373065
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/00036811.2025.2556126
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6027
dc.identifier.wosWOS:001570555700001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofApplicable Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectParabolic-elliptic chemotaxis system
dc.subjectlogistic source involving the exponents depending on the spatial variables
dc.subjectnonlinear signal production
dc.subjectboundedness
dc.titleBoundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions
dc.typeArticle

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