TY - JOUR ID - 16668 TI - Dynamic analysis of the fractional predator-prey system based on the Mittag-Leffler function JO - Journal of Advanced Mathematical Modeling JA - JAMM LA - en SN - 2251-8088 AU - Mohamadi, Shahnaz AU - Moradlou, Fridoun AU - Hajipour, Mojtaba AD - Department of Mathematics, Sahand University of Technology, Tabriz, Iran Y1 - 2021 PY - 2021 VL - 11 IS - 1 SP - 49 EP - 60 KW - ‎Fractional-order Predator-prey system‎ KW - ‎Caputo derivative‎ KW - ‎Mitag-Leffler function‎ KW - ‎asymptotic stability DO - 10.22055/jamm.2020.33065.1808 N2 - ‎In this paper, the dynamic behavior of a fractional-order predator-prey system based on the Mittag-Leffler function is investigated. First, we study the existence, uniqueness, non-negativity, and boundedness for the solution of this fractional-order system. Then, we show that this system has two different equilibrium points. Some sufficient conditions to ensure the global asymmetric stability of these points are also proposed by using the Lyapunov function. Finally, we present some numerical simulations to confirm the analytical results. UR - https://jamm.scu.ac.ir/article_16668.html L1 - https://jamm.scu.ac.ir/article_16668_c0ccddc1a33e8f36a9fd18695aaff0ce.pdf ER -