Ayazoglu, RabilSimsek, Ramazan2026-02-282026-02-2820250003-68111563-504Xhttps://doi.org/10.1080/00036811.2025.2556126https://hdl.handle.net/20.500.12403/6027This 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.eninfo:eu-repo/semantics/closedAccessParabolic-elliptic chemotaxis systemlogistic source involving the exponents depending on the spatial variablesnonlinear signal productionboundednessArticle10.1080/00036811.2025.25561262-s2.0-105016373065Q2WOS:001570555700001Q2