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Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect

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  • Sun Shulin
  • Guo Cuihua

Abstract

In view of the logical consistence, the model of a two-prey one-predator system with Beddington-DeAngelis functional response and impulsive control strategies is formulated and studied systematically. By using the Floquet theory of impulsive equation, small amplitude perturbation method, and comparison technique, we obtain the conditions which guarantee the global asymptotic stability of the two-prey eradication periodic solution. We also proved that the system is permanent under some conditions. Numerical simulations find that the system appears the phenomenon of competition exclusion.

Suggested Citation

  • Sun Shulin & Guo Cuihua, 2013. "Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect," Journal of Mathematics, Hindawi, vol. 2013, pages 1-11, December.
    • Handle: RePEc:hin:jjmath:826857
    DOI: 10.1155/2013/826857
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