摘要：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.
