Stability in chemostat equations with delayed recycling
type: Item
instance of: scholarly article
title: Stability in chemostat equations with delayed recycling
zbMATH Open document ID: 0665.45006
DOI: 10.1007/BF00171521
author: E. Beretta
author: Gian-Italo Bischi
author: Fortunata Solimano
published in: Journal of Mathematical Biology
publication date: 1990-01-01T00:00:00Z
review text: Stability and boundedness of the solutions of the system: \[ \dot S=D(S^ 0-S)-mU(S)N+bD_ 1\int^{t}_{-\infty}F(t-\tau)N(\tau)d\tau, \] \[ \dot N=N[-(D+D_ 1)+m_ 1U(S)] \] are studied with a general normalized non-negative function F. The system describes the growth of microorganisms feeding on a limiting nutrient. Conditions for local stability of the positive equilibrium are provided, and the effect of time lags is discussed.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 92E20
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 4088252
zbMATH Keywords: dynamical systems
zbMATH Keywords: stability
zbMATH Keywords: integrodifferential equations
zbMATH Keywords: time lags
Wikidata QID: Q52110782
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00171521
OpenAlex ID: W1982794816
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description: scientific article; zbMATH DE number 4088252