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

Abstract

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.

Keywords

• biological predator-prey model
• boundedness
• density-dependent motilities
• stage structure
• prey-taxis