Models of competition in the chemostat with instantaneous and delayed nutrient recycling
type: Item
instance of: scholarly article
title: Models of competition in the chemostat with instantaneous and delayed nutrient recycling
zbMATH Open document ID: 0778.92022
DOI: 10.1007/BF00173890
published in: Journal of Mathematical Biology
publication date: 1993-07-18T00:00:00Z
review text: The authors study models for the competition between two species in a chemostat in which nutrient recycling takes place. One of the models consists of a system of ordinary differential equations and the other of a system of functional differential equations with infinite delay. Roughly speaking, a system persists if each component of a solution is positive and bounded away from zero when that component initially was positive. The authors study the equilibrium solutions of their models and derive sufficient conditions for persistence.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34C99
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 203253
zbMATH Keywords: extinction
zbMATH Keywords: two populations model
zbMATH Keywords: competition
zbMATH Keywords: chemostat
zbMATH Keywords: nutrient recycling
zbMATH Keywords: functional differential equations
zbMATH Keywords: infinite delay
zbMATH Keywords: equilibrium solutions
zbMATH Keywords: sufficient conditions for persistence
author: H. I. Freedman
author: Yuantong Xu
reviewed by: Alan R. Hausrath
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00173890
OpenAlex ID: W1990420466
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description: scientific article; zbMATH DE number 203253