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

نویسندگانS. Mohammadi, F. Moradlou, M Hajipour
نشریهJournal of Advanced Mathematical Modeling
نوع مقالهFull Paper
تاریخ انتشار۲۰۲۱
رتبه نشریهISI (WOS)
نوع نشریهچاپی
کشور محل چاپایران

چکیده مقاله

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.

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