This paper characterizes the stability and bifurcation of fractional-order ratio-dependent Holling–Tanner type model with fractional domain (0, 2]. The stability intervals and bifurcation conditions of the developed model are attained by viewing different delays as bifurcation parameters. Then, two numerical examples are employed to corroborate the correctness of the theoretical analysis consisting of figuring out the bifurcation point and checking the veracity of the acquired bifurcation results via the plotted bifurcation diagrams. It revamps the deficiency of fractional-order model with unique delay. The procured results are instrumental in exploring the intrinsic convolution of predator–prey models.

中文翻译：

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分数阶捕食者-猎物模型中不同延迟产生的分叉

本文描述了分数阶依赖于分数域的 Holling-Tanner 型模型的稳定性和分岔(0, 2]. 通过将不同的延迟视为分岔参数来获得所开发模型的稳定区间和分岔条件。然后，通过两个数值例子来证实理论分析的正确性，包括找出分岔点并通过绘制的分岔图检查获得的分岔结果的准确性。它弥补了分数阶模型具有唯一延迟的不足。获得的结果有助于探索捕食者-猎物模型的内在卷积。