Original Article
Kyungpook Mathematical Journal 2008; 48(3): 515-527
Published online September 23, 2008
Copyright © Kyungpook Mathematical Journal.
Stability for a Holling Type IV Food Chain System With Impulsive Perturbations
Hunki Baek, Younghae Do
Department of Mathematics, Kyungpook National University, Daegu 702-701, South Korea
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: three-species food chain systems, Holling type IV functional response, impulsive differential equations, Floquet thoery