title: Prey-predator model with a nonlocal consumption of prey.
abstract: The prey-predator model with nonlocal consumption of prey introduced in this work extends previous studies of local reaction-diffusion models. Linear stability analysis of the homogeneous in space stationary solution and numerical simulations of nonhomogeneous solutions allow us to analyze bifurcations and dynamics of stationary solutions and of travelling waves. These solutions present some new properties in comparison with the local models. They correspond to different feeding strategies of predators observed in ecology.
authors: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India.
authors: M
authors: M
authors: Banerjee
authors: Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France.
authors: V
authors: V
authors: Volpert