The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary (1711.04229v1)

Abstract: The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary is considered. We investigate the existence and uniqueness, regularity and uniform estimates, and long time behavior of the global solution. Some sufficient conditions for both spreading and vanishing are established.