Boundedness criteria for the quasilinear attraction-repulsion chemotaxis system with nonlinear signal production and logistic source

This paper deals with the following quasilinear attraction-repulsion chemotaxis system (Formula Presented)with homogeneous Neumann boundary conditions in a bounded, smooth domain(Formula Presented)where(Formula Presented)It is proved that if the nonlinear exponents of the system satisfy(Formula Presented)then the system has globally bounded classical solutions. Furthermore, assume that(Formula Presented)one of the following conditions holds:(Formula Presented)then the classical solutions of the system would be globally bounded. The global boundedness criteria generalize the results established by previous researchers. © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)