Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion

In this paper, we consider the quasilinear two-species chemotaxis model with nonlinear signal production and nonlinear sensitivity. Under appropriate regularity assumption on the initial data, the global boundedness of classical solution is obtained. Our results partially generalize and improve some results in the literature. (C) 2022 Elsevier Inc. All rights reserved.

Automated summary

In this paper, we investigate the quasilinear two-species chemotaxis model with nonlinear signal production and nonlinear sensitivity. We establish the global boundedness of the classical solution under appropriate regularity assumptions on the initial data. Our results partially generalize and improve some existing results in the literature.