Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization

2025/01/04 by Muhammad Rafaqat, Rafaqat, Muhammad, Abubakar Masha +7
Engineering · Mathematics · Physics and Astronomy · #Advanced Control Systems Design #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.2501.02386

openalex publication_date 2025/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, conformal fractional order discretization [20, 24, 25] is used to analyze bifurcation analysis and stability of a predator-prey system. A continuous model has been discretized into a discrete one while preserving the fractional-order dynamics. This allows us to look more closely at the stability properties of the system and bifurcation phenomena, including period-doubling and Neimark-Sacker bifurcation. Through numerical and theoretical methods, this research investigated how the modification in system parameters affects the overall dynamics, which may have implications for ecological management and conservation strategies.

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