Stability in a diffusive food-chain model with Michaelis-Menten functional response
type: Item
instance of: scholarly article
title: Stability in a diffusive food-chain model with Michaelis-Menten functional response
zbMATH Open document ID: 1053.35026
author: Yanyan Li
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-23T00:00:00Z
review text: This paper concerns the asymptotic behaviour of the solutions to a system of nonlinear parabolic equations with homogeneous Neumann boundary conditions and initial conditions. The investigated system describes the predator-prey biological model for three species in which the third one is the predator of the second one and the second one is the predator of the first one. The system is of a reaction-diffusion type. A sufficient condition for local asymptotic stability is given by linearization and for global asymptotic stability is given by a Lyapunov function.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 2102514
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: asymptotic stability
zbMATH Keywords: homogeneous Neumann boundary conditions
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
full work available at URL: j.na.2004.02.022
OpenAlex ID: W1976851928
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Wikidata QID: Q61635660
DOI: 10.1016/J.NA.2004.02.022
description: scientific article; zbMATH DE number 2102514