Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response

Abstract EN

The dynamics of an impulsively controlled three-species food chain system with the Beddington-DeAngelis functional response are investigated using the Floquet theory and a comparison method.

In the system, three species are prey, mid-predator, and top-predator.

Under an integrated control strategy in sense of biological and chemical controls, the condition for extinction of the prey and the mid-predator is investigated.

In addition, the condition for extinction of only the mid-predator is examined.

We provide numerical simulations to substantiate the theoretical results.