Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses

  • Baek, Hunki (Department of Mathematics Education, Catholic University of Daegu)
  • Received : 2011.06.13
  • Accepted : 2012.06.04
  • Published : 2013.12.23
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Abstract

In the paper, a two-prey one-predator system with defensive ability and Holling type-II functional responses is investigated. First, the stability of equilibrium points of the system is discussed and then conditions for the persistence of the system are established according to the existence of limit cycles. Numerical examples are illustrated to attest to our mathematical results. Finally, via bifurcation diagrams, various dynamic behaviors including chaotic phenomena are demonstrated.

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References

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