The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary

Published 12 Nov 2017 in math.AP | (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.

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