Asymptotic Behaviour Of Non-autonomous Predator-prey With The Beddington-DeAngelis Functional Response

The asymptotic behavior of solution for two class of non-autonomous systems with the Beddington-DeAngelis functional respone are discussed.The super-sub solution method,the related results of Logistic equation and the comparison principle for positive solution of differential equations are widely used in this paper.Some important asymptotic behavior such as persistence and extinction,the existence of pullback attractor are studied.