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arXiv · 2501.02386

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

Muhammad Rafaqat·Abubakar Masha·Nauman Ahmed·Ali Raza·Wojciech Sumelka
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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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Muhammad Rafaqat, Abubakar Masha, Nauman Ahmed, Ali Raza, Wojciech Sumelka. 2025-01-04. Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization. https://arxiv.org/abs/2501.02386

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