Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response. (19th January 2012)

• Record Type: Journal Article
• Authors: Do, Younghae; Baek, Hunki; Kim, Dongseok
• Other Names: Braverman Elena Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2012(2012)
• Publication Date: 2012-01-19
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2012/418564
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.