Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Stability for a Holling Type IV Food Chain System With Impulsive Perturbations

  • Baek, Hunki (Department of Mathematics, Kyungpook National University) ;
  • Do, Young-Hae (Department of Mathematics, Kyungpook National University)
  • Received : 2008.06.17
  • Published : 2008.09.30
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Abstract

We investigate a three species food chain system with a Holling type IV functional response and impulsive perturbations. We find conditions for local and global stabilities of prey(or predator) free periodic solutions by applying the Floquet theory and the comparison theorems.

Keywords

References

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