标题： 基于共形分数阶离散化的捕食者-被捕食系统分岔分析 显示英文标题

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

摘要： 在本文中，采用共形分数阶离散化[20, 24, 25]来分析捕食者-被捕食者系统的分岔分析和稳定性。 一个连续模型已被离散化为离散模型，同时保留了分数阶动力学特性。 这使我们能够更仔细地研究系统的稳定性特性和分岔现象，包括周期加倍和Neimark-Sacker分岔。 通过数值和理论方法，这项研究调查了系统参数的修改如何影响整体动力学，这可能对生态管理与保护策略产生影响。 显示英文摘要

摘要： 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.