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

摘要

In this paper, we investigate a diffusive predator prey system with Honing 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. (C) 2016 Elsevier Inc. All rights reserved.