Dynamics analysis of a delayed diffusive predator-prey system with non-smooth continuous threshold harvesting

This paper deals with a delayed reaction-diffusion predator-prey model with non-smooth harvesting. Sufficient conditions for the local stability of the interior equilibrium and the existence of discontinuous Hopf bifurcations and classical Hopf bifurcations are obtained by using the theory of partial functional differential equations. Finally, numerical simulation results are presented to validate the theoretical analysis.