Dynamics Of A LBM-Parasitoid Model With The Beddington-DeAngelis Functional Response

In this paper, we systematically study the dynamics of a LBM—Parasitoid Model with the Beddington—DeAngelis Functional Response. The explorations involve the boundedness of solutions; the stability of boundary equilibrium; the existence,uniqueness and stability of a positive equilibrium .The paper ends with necessary numerical simulations by Matlab and discusses the influence of parameters to the system.