Ayazoglu, Rabil A.2026-02-282026-02-28202430058139https://hdl.handle.net/20.500.12403/5891We study the quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type u<inf>t</inf> = ?u???·(u??)+??·(u??) with nonlinear production 0 = ?? ??? +?us, 0 = ?? ??? +?ur, subject to the homogeneous Neumann boundary conditions in a bounded domain ? ? ?N (N ? 3) with smooth boundary. It is proved that for every ?, ?, ?, ?, ?, ? > 0 and s ? N2,r > N?2/N s, there exists ?? > 0 such that if ? > ?? and any sufficiently regular initial datum u<inf>0</inf>(x) ? 0, then the model has a unique global classical solution (u, ?, ?), which is bounded in ? × (0, ?). © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.eninfo:eu-repo/semantics/closedAccessBoundednesschemotaxisnonlinear productionArticle44413212-s2.0-85210234735Q3