The Bio-economic Model Of The Predator-prey System With Beddington-deangelis Functional Response

In this paper, we study the Predator-Prey model with harvesting and Beddington-DeAngelis functional response. Firstly, we analyze the existence and stability of the equilibrium points. Secondly, we discuss the existence of the limit cycles. Then, we find the optimal harvesting rate by using Pontryagin's maximun principle and illustrate it with a numerical simulation.