Permanence and stability of almost periodic solution for a three-species Beddington-DeAngelis food chain system
By applying comparison theorem,differential mean value theorem and fixed point theorem,sufficient conditions were established which guarantee the almost periodic solution of a Beddington-DeAngelis food chain system with prey refuge and mu-tual inference of predator.Based on the permanence result,by constructing a suitable Lyapunov functional,sufficient conditions were established on the existence of uniformly asymptotic stability of positive almost periodic solution for the considered system.Moreover,an example along with its numerical simulation was employed to illustrate the effectiveness of the proposed re-sult.
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