DYNAMICAL BEHAVIOR IN A REACTION-DIFFUSION SYSTEM WITH PREY-TAXIS

In this article, we study a diffusive predator-prey system with prey taxis under homogeneous Neumann boundary conditions. We establish the existence and boundedness of nonnegative global solutions. Through comparison with the system without prey taxis, we find that the positive constant equilibrium remains stable for positive prey taxis, while negative prey taxis makes it unstable.