Bifurcation Of Nontrivial Periodic Solutions For A Food Chain Beddington-Deangelis Interference Model With Impulsive Effect

In this paper, a food chain Beddington-DeAngelis interference model with impulsive effect is studied. The trivial periodic solution is locally asymptotically stable if the release rate or the release period is suitable. Conditions for permanence of the model are obtained. The existence of nontrivial periodic solutions and semi-trivial periodic solutions are established when the trivial periodic solution loses its stability under different conditions.