Dynamics Of LKE Model With Beddington-DeAngelis Functional Response

In this paper, we study LKE model with Beddington-DeAngelis functional response. The explorations involve the existence and locally asymptotical stability of the equilibria for autonomous case; persistence, ultimately bounded and extinction for nonautonomous case; the existence of a periodic solution for periodic case by using coincidence degree, the existence and stability of boundary periodic solution. The paper ends with some interesting numerical simulations.