Dynamics of a diffusive predator–prey system with a nonlinear growth rate for the predator

In this paper, we investigate a diffusive predator–prey system with Holling type-II functional response and a nonlinear growth rate for the predator. Our results include the global attractivity of constant equilibria and non-existence of non-constant positive steady states. These results give some ranges for the model parameters within which, spatiotemporal pattern formation is impossible.