Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response

  • Choi, Yoon-Ho (School of Electrical and Computer Engineering, Pusan National University) ;
  • Baek, Hunki (Department of Mathematics Education, Catholic University of Daegu)
  • Received : 2016.01.27
  • Accepted : 2016.02.05
  • Published : 2016.03.23
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Abstract

In this paper, we consider a discrete predator-prey system obtained from a continuous Beddington-DeAngelis type predator-prey system by using the method in [9]. In order to investigate dynamical behaviors of this discrete system, we find out all equilibrium points of the system and study their stability by using eigenvalues of a Jacobian matrix for each equilibrium points. In addition, we illustrate some numerical examples in order to substantiate theoretical results.

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References

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