Permanence, Global Mittag-Leffler Stability and Global Asymptotic Periodic Solution for Multi-Species Predator-Prey Model Characterized by Caputo Fractional Differential Equations

摘要

In this paper, a kind of predator-prey system withfraction-order derivative scheme has been proposed and theissue on permanence, global Mittag-Leffler stability and globalasymptotic periodic solution for the above system has beeninvestigated. By utilizing comparison principles and fractionalcalculus theory, some new conditions are established to ensurethe permanence, global Mittag-Leffler stability and globalasymptotic periodic solution of the above systems. An exampleis given to demonstrate the effectiveness and feasibility of theproposed theoretical results.