Impulsive perturbations of a three-species food chain system with the Beddington-DeAngelis functional response (Q764583)

Summary: The dynamics of an impulsively controlled three-species food chain system with Beddington-DeAngelis functional response are investigated using the Floquet theory and a comparison method. In the system, the three species are prey, mid-predator, and top-predator. Under an integrated control strategy in the sense of biological and chemical controls, conditions for extinction of the prey and the mid-predator are investigated. In addition, a condition for extinction of only the mid-predator is examined. We provide numerical simulations to substantiate the theoretical results.