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

Younghae Do, Hunki Baek and Dongseok Kim

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-16

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:418564

DOI: 10.1155/2012/418564

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