Impulsive Perturbations of a Three‐Species Food Chain System with the Beddington‐DeAngelis Functional Response | Zendy

Younghae Do | Zendy; Hunki Baek | Zendy; Dong-Seok Kim | Zendy

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

Author(s) -

Younghae Do,

Hunki Baek,

Dong-Seok Kim

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/418564

Subject(s) - functional response , extinction (optical mineralogy) , predation , predator , food chain , floquet theory , control theory (sociology) , biological system , mathematics , ecology , biology , computer science , physics , control (management) , artificial intelligence , paleontology , nonlinear system , quantum mechanics

The dynamics of an impulsively controlled three-species food chain system withthe Beddington-DeAngelis functional response are investigated using the Floquettheory 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 andchemical controls, the condition for extinction of the prey and the mid-predatoris investigated. In addition, the condition for extinction of only the mid-predator isexamined. We provide numerical simulations to substantiate the theoretical results

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