Stability of periodic solutions for a model of genetic repression with delays
type: Item
instance of: scholarly article
title: Stability of periodic solutions for a model of genetic repression with delays
zbMATH Open document ID: 0563.92008
DOI: 10.1007/BF00275712
published in: Journal of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: A technique is discussed for locating the Hopf bifurcation of an n- dimensional system of delay differential equations which arises from a model for control of protein biosynthesis. Certain parameter values are shown to allow a Hopf bifurcation to periodic orbits. At the Hopf bifurcation the periodic orbits are shown to be stable either analytically or numerically depending on the parameter values.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 3898656
zbMATH Keywords: genetic repression
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: delay differential equations
zbMATH Keywords: control of protein biosynthesis
zbMATH Keywords: periodic orbits
author: Joseph M. Mahaffy
MaRDI profile type: Publication
Wikidata QID: Q113909303
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cites work: The Hopf bifurcation: A stability result and application
cites work: Q3895289
full work available at URL: https://doi.org/10.1007/bf00275712
OpenAlex ID: W2004787504
description: scientific article; zbMATH DE number 3898656