Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate, and a top predator is investigated in this paper. The additive Allee effect is introduced in the prey population, and it is assumed that there is a time lag due to the gestation effect in the intermediate predator. The interference among the prey and the intermediate predator is according to Holling type II, while the interaction between the intermediate and top predators follows the Crowley–Martin functional response. The local stability and bifurcation analysis of the proposed model at the interior equilibrium point are studied. Numerical simulations are provided to ensure the mathematical results.

本文研究了由猎物，中间媒介和顶级捕食者组成的延迟三营养食物链的动力学分析。在猎物种群中引入了加性Allee效应，并且假定由于中间捕食者的妊娠效应而存在时间滞后。猎物和中间捕食者之间的干扰是根据Holling II型产生的，而中间捕食者和顶级捕食者之间的相互作用遵循Crowley-Martin功能响应。研究了该模型在内部平衡点的局部稳定性和分叉分析。提供数值模拟以确保数学结果。