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On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses
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  • Journal title : Kyungpook mathematical journal
  • Volume 53, Issue 4,  2013, pp.647-660
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2013.53.4.647
 Title & Authors
On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses
Baek, Hunki;
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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.
a two-prey one-predator system;two-type functional responses;Holling type-II functional responses;bifurcation diagrams;
 Cited by
Complex Dynamic Behaviors of an Impulsively Controlled Predator-prey System with Watt-type Functional Response,;

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