Abstract In this paper, the problem of bifurcation for a fractional order predator–prey system involving two nonidentical delays is discussed. The critical values of delays for Hopf bifurcation are exactly figured out for the proposed model by using two nonidentical delays as bifurcation parameter, respectively. In addition, the effects of fractional order and additional delay on the bifurcation point are carefully explored. It detects that the stability performance is extremely demolished with the enhancement of fractional order and another delay. This hints that the onset of Hopf bifurcation can be advanced as fractional order and another delay increase. The final numerical simulations verify the correctness of our theoretical analysis.

中文翻译：

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包含两个不同延迟的分数捕食者-猎物模型的稳定性和分岔分析

摘要 本文讨论了包含两个不同时滞的分数阶捕食者-猎物系统的分岔问题。Hopf 分岔时滞的临界值分别使用两个不相同的时滞作为分岔参数精确地计算出所提出的模型。此外，还仔细研究了分数阶和额外延迟对分岔点的影响。它检测到随着分数阶数的增强和另一个延迟，稳定性性能被极大地破坏。这暗示 Hopf 分岔的开始可以随着分数阶和另一个延迟的增加而提前。最后的数值模拟验证了我们理论分析的正确性。