Dynamical analysis of a delayed food chain model with additive Allee effect

Abstract

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.

Finite-Time H ∞ State Estimation for Markovian Jump Neural Networks with Time-Varying Delays via an Extended Wirtinger’s Integral Inequality

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Dynamical Behavior of a Delayed Holling Type‐II Predator‐Prey Model with Predator Cannibalism

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“…e predator-prey model is in uenced by many biological factors such as prey refuge [1], fear [2], and the Allee e ect [3,4]. In such models, the predator consumes its prey is given in the form of functional response, which is the function of its lone prey or both predator and its prey.…”

The dynamics of a Leslie type predator–prey model with fear and Allee effect

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