The objective of this paper is to study the dynamical properties of a discrete-time prey–predator model under imprecise biological parameters. We consider refuge for prey species as a constant number. The equilibria of the model are obtained, and the dynamic behaviors of the proposed system are examined for the interval biological parameters. Simulations of the model are performed for different parameters of the model. Numerical simulations demonstrate that the proposed discrete model exhibits rich dynamics of a chaotic and complex nature.

中文翻译：

---

不精确生物参数下具有恒定猎物避难所的离散时间猎物-捕食者模型的动态研究

本文的目的是研究离散时间捕食者模型在不精确的生物参数下的动力学特性。我们认为猎物的避难所是一个常数。获得了模型的平衡，并检查了所提出系统的动态行为的区间生物参数。针对模型的不同参数执行模型的模拟。数值模拟表明，所提出的离散模型表现出具有混沌和复杂性质的丰富动力学。