Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response
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 i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/418564 |
| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |