Permanence, Global Mittag-Leffler Stability And Global Asymptotic Periodic Solution For Multi-Species Predator-Prey Model Characterized By Caputo Fractional Differential Equations

In this paper, a kind of predator-prey system with fraction-order derivative scheme has been proposed and the issue on permanence, global Mittag-Leffler stability and global asymptotic periodic solution for the above system has been investigated. By utilizing comparison principles and fractional calculus theory, some new conditions are established to ensure the permanence, global Mittag-Leffler stability and global asymptotic periodic solution of the above systems. An example is given to demonstrate the effectiveness and feasibility of the proposed theoretical results.