Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator

Abstract

<abstract><p>In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case. In addition, we prove that the solution stabilizes to the prey-only steady state under some conditions.</p></abstract>