This paper deals with the dynamics of a prey dependent three species food chain model involving the Holling type II response function elucidating the impact of refuge constants of prey and predator on the system. We present an exhaustive mathematical explanation of the suggested model to enhance the significance which has originated due to ecological phenomena. Biologically meaningful equilibrium points of the system are endowed along with the behaviors of the system around each equilibrium point. Specifically, boundedness, local and global stability, Hopf bifurcation analysis are performed. Besides, the geometrical significance is provided by all the diagrams supporting the analytical findings. Robustness of the dependence of the system dynamics to each parameter perturbations is presented numerically. Further, the effects of refuge parameters are demonstrated individually as well as simultaneously by two-dimensional and three-dimensional graphs to enhance the impacts more significantly. Moreover, chaotic behavior of the system dynamics is observed for some critical parameter values.

本文研究了依赖于猎物的三物种食物链模型的动力学，该模型涉及Holling II型响应函数，阐明了食饵和捕食者的避难所常数对系统的影响。我们提出了建议模型的详尽的数学解释，以增强由于生态现象而产生的重要性。赋予系统生物学上有意义的平衡点以及系统在每个平衡点附近的行为。具体来说，进行有界性，局部和全局稳定性，Hopf分叉分析。此外，所有支持分析结果的图表都提供了几何意义。数值表示了系统动力学对每个参数摄动的依赖性的鲁棒性。进一步，避难所参数的效果分别通过二维图和三维图展示，并同时通过二维图和三维图展示，以更加显着地增强效果。此外，对于某些关键参数值，观察到系统动力学的混沌行为。