A qualitative analysis of an additive chemostat model of microorganisms competing for two complementary nutrients
type: Item
instance of: scholarly article
title: A qualitative analysis of an additive chemostat model of microorganisms competing for two complementary nutrients
zbMATH Open document ID: 0804.92027
published in: Ricerche di Matematica
publication date: 1994-01-06T00:00:00Z
review text: A system of four (nonlinear, coupled) ordinary differential equations is investigated. This ODE-system arises as a model of two competing species of microorganisms for two complementing resources in a chemostat. The form of the uptake functions is based on an additive model proposed by \textit{O'Neill} et al. [Ecological Modelling 46, 147-163 (1989)]. The authors prove existence and boundedness of the solutions of the Cauchy problem and derive a variety of conditions ensuring existence and stability of the possible equilibria.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 472890
zbMATH Keywords: competing species of microorganisms
zbMATH Keywords: chemostat
zbMATH Keywords: existence
zbMATH Keywords: boundedness
zbMATH Keywords: Cauchy problem
zbMATH Keywords: stability
zbMATH Keywords: equilibria
author: P. Fergola
author: S. Rionero
author: C. Tenneriello
reviewed by: Reinhard Bürger
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 472890