Selective harvesting plays an important role on the dynamics of predator-prey interaction. On the other hand, the effect of predator self-limitation contributes remarkably to the stabilization of exploitative interactions. Keeping in view the selective harvesting and predator self-limitation, a discrete-time predator-prey model is discussed. Existence of fixed points and their local dynamics is explored for the proposed discrete-time model. Explicit principles of Neimark–Sacker bifurcation and period-doubling bifurcation are used for discussion related to bifurcation analysis in the discrete-time predator-prey system. The control of chaotic behavior is discussed with the help of methods related to state feedback control and parameter perturbation. At the end, some numerical examples are presented for verification and illustration of theoretical findings.

中文翻译：

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具有选择收获和捕食者自我限制的离散时间捕食者－食饵相互作用

选择性收获在捕食者与猎物相互作用的动力学中起着重要作用。另一方面，捕食者自我限制的作用显着促进了剥削性相互作用的稳定。考虑到选择性收获和捕食者的自我限制，讨论了离散时间捕食者-猎物模型。对于所提出的离散时间模型，探讨了不动点的存在及其局部动力学。Neimark–Sacker分叉和倍频分叉的显式原理用于讨论离散捕食者－食饵系统中的分叉分析。借助与状态反馈控制和参数摄动有关的方法来讨论混沌行为的控制。在最后，