The effect of pulsed harvesting policy on the inshore–offshore fishery model with the impulsive diffusion

In this paper, we propose the inshore–offshore fishing model with impulsive diffusion and pulsed harvesting at the different fixed time. The existence and globally asymptotical stability of both the trivial periodic solution and the positive periodic solution are obtained. We show that the pulsed harvesting has a strong impact on the persistence of the fish population. By the numerical simulation, we obtain that the best time of fishing is at the end of the period τ.