Positive solutions of a competition model for two resources in the unstirred chemostat
type: Item
instance of: scholarly article
title: Positive solutions of a competition model for two resources in the unstirred chemostat
zbMATH Open document ID: 1184.35159
author: Hua Nie
author: Jianhua Wu
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-19T00:00:00Z
review text: The authors study the unstirred chemostat model of competition between two species for two perfectly complementary resources, which takes the form of a system of reaction-diffusion equations, and was previously studied by \textit{J. H. Wu, H. Nie} and \textit{G. S. K. Wolkowicz} [SIAM J. Appl. Math. 65, No.~1, 209--229 (2004; Zbl 1077.35057)]. They extend the results of the above paper by characterizing the exact range of the parameters of two species so that the system possesses positive solutions, and by investigating multiple positive steady states of the system of equations, determining when the numerical simulations results in the above paper hold rigorously.
reviewed by: Behzad Djafari Rouhani
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 5555248
zbMATH Keywords: monotone method
zbMATH Keywords: fixed point theory
zbMATH Keywords: multiplicity
zbMATH Keywords: perfectly complementary resources
zbMATH Keywords: positive steady states
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.01.045
OpenAlex ID: W2055906987
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DOI: 10.1016/J.JMAA.2009.01.045
description: scientific article; zbMATH DE number 5555248