Stability for a holling type IV food chain system with impulsive perturbations

Hunki Baek; Younghae Do

doi:10.5666/KMJ.2008.48.3.515

Stability for a holling type IV food chain system with impulsive perturbations

Hunki Baek, Younghae Do

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	515-527
Number of pages	13
Journal	Kyungpook Mathematical Journal
Volume	48
Issue number	3
DOIs	https://doi.org/10.5666/KMJ.2008.48.3.515
State	Published - 2008

Keywords

Floquet thoery
Holling type IV functional response
Impulsive differential equations
Three-species food chain systems

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10.5666/KMJ.2008.48.3.515

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title = "Stability for a holling type IV food chain system with impulsive perturbations",

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 = "Floquet thoery, Holling type IV functional response, Impulsive differential equations, Three-species food chain systems",

author = "Hunki Baek and Younghae Do",

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AU - Do, Younghae

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KW - Floquet thoery

KW - Holling type IV functional response

KW - Impulsive differential equations

KW - Three-species food chain systems

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AN - SCOPUS:57349086273

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JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

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Stability for a holling type IV food chain system with impulsive perturbations

Abstract

Keywords

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