In this letter, a fractional-order prey–predator model with Holling III type functional response and discontinuous harvest is considered. The non-negative and boundedness of the model are proved. In addition, some conditions for the existence and stability of the positive equilibrium point are proposed. Finally, numerical simulations are given to confirm the correctness of theorem.

中文翻译：

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具有Holling III型功能性反应和不连续收获的分数阶捕食者模型的动力学分析

在这封信中，考虑了具有Holling III型功能性反应和不连续收获的分数阶捕食模型。证明了模型的非负有界性。此外，提出了一些关于正平衡点存在和稳定性的条件。最后，进行了数值模拟，以证明定理的正确性。