Dynamic analysis of the fractional predator-prey system based on the Mittag-Leffler function

Document Type : Original Paper


Department of Mathematics, Sahand University of Technology, Tabriz, Iran


‎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.


Main Subjects

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Volume 11, Issue 1
April 2021
Pages 49-60
  • Receive Date: 27 March 2020
  • Revise Date: 10 November 2020
  • Accept Date: 22 November 2020
  • First Publish Date: 04 March 2021