Boundedness in a predator-prey system with prey-taxis and nonlinear
In this paper, we extend the gradient-dependent nonlinear sensitivity
assumption of Keller-Segel-Navier-Stokes system [M. Winkler, Z. Angew.
Math. Phys. 2021] to predator-prey and Keller-Segel systems in two
dimensions. Under appropriate regularity assumption on the initial data,
the global boundedness of classical solution is obtained.