Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity
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Abstract
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.
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