Ayazoglu, Rabil A.Salmanova, Kamala A.2026-02-282026-02-28202430058139https://doi.org/10.30546/2617-7900.44.1.2024.20https://hdl.handle.net/20.500.12403/5831This paper deals with the higher dimension quasilinear parabolic-parabolic chemotaxis model involving a source term of logistic type (formula presented), subject to the homogeneous Neumann boundary conditions in a ? ? RN (N ? 1) with smooth boundary. It is shown that for the attractionrepulsion case with ?<inf>2</inf> ? 0, the global boundedness of solutions can be ensured by µ<inf>1</inf>, µ<inf>2</inf> > 0 without any other assumptions, due to the contribution of the logistic sources included in addition to the repulsion mechanism. While for the attraction-attraction case with ?<inf>2</inf> > 0, the global boundedness of solutions has to require logistic coefficients µ<inf>1</inf>, µ<inf>2</inf> > 0 such that µ<inf>2</inf> properly large. © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.eninfo:eu-repo/semantics/openAccessglobal boundednessTwo-species chemotaxis systemvariable logistic sourceArticle441203010.30546/2617-7900.44.1.2024.202-s2.0-85195126419Q3