\(N\)-species competition in a periodic chemostat
type: Item
instance of: scholarly article
title: \(N\)-species competition in a periodic chemostat
zbMATH Open document ID: 1005.92027
author: Gail S. K. Wolkowicz
author: Xiao-Qiang Zhao
published in: Differential and Integral Equations
publication date: 2000-05-29T00:00:00Z
review text: Global dynamics of the scalar, asymptotically periodic Kolmogorov equation is investigated and applications to models of single-species growth and \(n\)-species competition in a periodically operated chemostat are given. The theory of of asymptotically periodic semiflows and comparison methods are applied to obtain criteria that guarantee the existence of at least one positive periodic solution for the full system and uniform persistence of all the interacting species. In a special case, the single-species growth model has a threshold between global extinction and uniform persistence, in the form of a positive, periodic coexistence state.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 1453644
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1453644