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

نویسندگان

  • Younghae Do
  • Hunki Baek
  • Dongseok Kim
چکیده

The dynamics of an impulsively controlled three-species food chain system with the BeddingtonDeAngelis 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 midpredator is examined. We provide numerical simulations to substantiate the theoretical results.

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تاریخ انتشار 2014