Stability for a Holling Type IV Food Chain System With Impulsive Perturbations

DOI10.5666/KMJ.2008.48.3.515zbMath1165.34307OpenAlexW2065693931MaRDI QIDQ5303250

Younghae Do, Hun Ki Baek

Publication date: 15 January 2009

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2008.48.3.515

zbMATH Keywords

Floquet theoryimpulsive perturbationsHolling type IV functional responselocal and global stabilitiesthree species food chain system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (4)

Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies ⋮ Complex dynamical behaviors in a predator-prey system with generalized group defense and impulsive control strategy ⋮ Impulsive perturbations of a three-species food chain system with the Beddington-DeAngelis functional response ⋮ Seasonal effects on a Beddington-DeAngelis type predator-prey system with impulsive perturbations

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