Theoretical studies on extinction in the gradostat
type: Item
instance of: scholarly article
title: Theoretical studies on extinction in the gradostat
zbMATH Open document ID: 0714.92028
DOI: 10.1016/0025-5564(90)90099-K
author: O. A. El-Leithy
author: H. M. El-Owaidy
published in: Mathematical Biosciences
publication date: 1990-01-01T00:00:00Z
review text: A gradostat is a series of interconnected chemostats. This paper studies two mathematical models based on Michaelis-Menten kinetics to study the dynamics of two competing species of microorganisms for the case where there is a gradient of one limiting substrate and opposing gradients of two other complementary substrates. There is also a theorem which proves conditions under which the species cannot survive, even in the absence of competition. The results for systems without competition are similar to those obtained by \textit{B. Tang}, J. Math. Biol. 23, 319-339 (1986; Zbl 0604.92020).
reviewed by: H.de Arazoza
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4176898
zbMATH Keywords: extinction
zbMATH Keywords: survival
zbMATH Keywords: multistage continuous culture system
zbMATH Keywords: gradostat
zbMATH Keywords: interconnected chemostats
zbMATH Keywords: Michaelis-Menten kinetics
zbMATH Keywords: competing species of microorganisms
zbMATH Keywords: complementary substrates
Wikidata QID: Q43932054
MaRDI profile type: Publication
cites work: Coexistence of competing predators in a chemostat
cites work: Q5533446
cites work: Limiting Behavior for Competing Species
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cites work: A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
cites work: Q5534447
cites work: Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
cites work: Mathematical investigations of growth of microorganisms in the gradostat
cites work: Q3885576
cites work: Division synchrony and the dynamics of microbial populations: A size- specific model
full work available at URL: 0025-5564(90)90099-k
OpenAlex ID: W1980909580
description: scientific article; zbMATH DE number 4176898