Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2009; 24(2): 215-226

Printed June 1, 2009

https://doi.org/10.4134/CKMS.2009.24.2.215

Copyright © The Korean Mathematical Society.

A Holling type II food chain system with biological and chemical controls

Hunki Baek

Kyungpook National University

Abstract

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For a class of Holling type II food chain systems with biological and chemical controls, we give conditions of the local stability of prey-free periodic solutions and of the permanence of the system. Further, we show the system is uniformly bounded.

Keywords: Holling type II food chain system, biological and chemical controls, impulsive differential equation, Floquet theory

MSC numbers: Primary 34A37, 34D23, 34H05, 92D25

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