periodic solution of prey-predator model with beddington-deangelis functional response and impulsive state feedback control

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ID: 198540
2012
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Abstract
A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and the method of successor function, we obtain the system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solution are also obtained. Finally, numerical simulations are performed to illustrate our main results.
Reference Key
wei2012journalperiodic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Chunjin Wei;Lansun Chen
Journal Chemico-biological interactions
Year 2012
DOI
10.1155/2012/607105
URL
http://dx.doi.org/10.1155/2012/607105
Keywords
mathematics

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