Copyright © 2012 Younghae Do et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.