Currently, proper modeling of a biological system in an uncertain situation is a challenging task for researchers. Facing this challenge, in this article, a new concept of interval representation named as linear parametric representation is introduced by which a biological system in an uncertain situation can be formulated mathematically in a precise way. The aim of this work is to formulate a three species imprecise food chain model with one prey and two competing predators in an interval environment. Here, all the biological parameters except the conversion efficiency of the species are considered interval-valued. And interactions among the species are taken as Holling Type I functional response. Using the linear parametric representation of interval, a system in the interval form has been converted in the parametric form. Positivity and boundedness of the solutions of the proposed imprecise system are verified. Then, conditions of local stability, global stability and transcritical bifurcation of equilibrium points of the proposed system are established. Thereafter, all the theoretical results of this work are validated by a numerical example with interval-valued parametric data and results are presented pictorially. Finally, some biological implications of the obtained results are discussed and a fruitful conclusion has been made.

目前，在不确定情况下对生物系统进行正确建模对研究人员来说是一项具有挑战性的任务。面对这一挑战，在本文中，引入了称为线性参数表示的区间表示的新概念，通过该概念，可以以精确的方式数学地表达不确定情况下的生物系统。这项工作的目的是在间隔环境中制定一个具有一个猎物和两个相互竞争的捕食者的三个物种的不精确食物链模型。在这里，除了物种的转化效率之外的所有生物参数都被认为是区间值。物种之间的相互作用被视为Holling I型功能反应。使用区间的线性参数表示，将区间形式的系统转换为参数形式。验证了所提出的不精确系统的解的正性和有界性。然后，建立了所提出系统的平衡点的局部稳定性、全局稳定性和跨临界分岔条件。此后，这项工作的所有理论结果都通过具有区间值参数数据的数值示例进行验证，并以图形方式呈现结果。最后，讨论了所得结果的一些生物学意义，并得出了富有成效的结论。这项工作的所有理论结果都通过具有区间值参数数据的数值示例进行验证，结果以图形方式呈现。最后，讨论了所得结果的一些生物学意义，并得出了富有成效的结论。这项工作的所有理论结果都通过具有区间值参数数据的数值示例进行验证，结果以图形方式呈现。最后，讨论了所得结果的一些生物学意义，并得出了富有成效的结论。