Turing-Hopf bifurcation of a delayed predator-prey system with prey-taxis incorporating a Beddington-DeAngelis functional response
In this paper, we investigate the spatiotemporal pattern dynamics in a delayed predator-prey model with prey-taxi. First, Turing bifurcation for the reaction-diffusion-prey-taxis model are analyzed and the conditions for it is obtained. By deriving an amplitude equation, we then classify the bifurcation as supercritica...