Akkoyunlu, Ebubekir2026-09-012026-09-0120260003-68111563-504Xhttp://dx.doi.org/10.1080/00036811.2026.2707162https://hdl.handle.net/20.500.12403/8513This paper deals with the following Neumann initial-boundary value problem{u(t)=Delta u-del center dot(u del upsilon)+u(gamma)-u(alpha)(integral(Omega)u(beta))(m), x is an element of Omega,t is an element of(0,T-max),upsilon(t)=Delta upsilon-upsilon+u(eta), x is an element of Omega, t is an element of(0,T-max),where Omega subset of R-N (N >= 2) is a bounded domain with smooth boundary, 0< m <= 1 , m beta >= 1 ,1<gamma <=alpha , and eta>0 . The initial data satisfyu(0),upsilon(0)is an element of W-1,W-infinity(Omega),where u(0)>= 0 , upsilon(0)>= 0 , and partial derivative(nu)u(0)=partial derivative(nu)upsilon(0)=0 on partial derivative Omega. We rigorously prove that the problem admits a unique global classical solution which is uniformly bounded in time if one of the following conditions holds:alpha+m beta >(N+2)gamma-N/2when gamma >=eta+1, or alpha+m beta >(N+2)eta+2/2when gamma >=eta+1.eninfo:eu-repo/semantics/closedAccessChemotaxisGlobal ExistenceModified Nonlocal TermsNonlinear ReactionBoundednessArticle10.1080/00036811.2026.27071622-s2.0-105046291029Q2WOS:001834437500001Q2