The stability of a nonlinear, age dependent population model, as applied to a biochemical reaction tank
type: Item
instance of: scholarly article
title: The stability of a nonlinear, age dependent population model, as applied to a biochemical reaction tank
zbMATH Open document ID: 0596.92018
DOI: 10.1016/0025-5564(86)90066-0
author: J. H. Swart
published in: Mathematical Biosciences
publication date: 1986-01-01T00:00:00Z
review text: The author considers the population dynamics of a continuously fed chemical reactor in which a biological organism promotes the chemical reaction. (The underlying model is that due to McKendrick.) An analytic procedure is described to determine the parameters which lead to limit cycle oscillations for the population of the organism. The general case, subject to relatively minor restrictions, is considered first and then a particular example is given to illustrate the method suggested.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 3961407
zbMATH Keywords: nonlinear, age dependent population model
zbMATH Keywords: McKendrick population
zbMATH Keywords: model
zbMATH Keywords: self-exciting oscillations
zbMATH Keywords: asymptotically stable orbits
zbMATH Keywords: population dynamics of a continuously fed chemical reactor
zbMATH Keywords: limit cycle oscillations
MaRDI profile type: Publication
full work available at URL: 0025-5564(86)90066-0
OpenAlex ID: W2041354183
cites work: Some simple models for nonlinear age-dependent population dynamics
cites work: Stability of biochemical reaction tanks
cites work: Q4060816
cites work: Non-linear age-dependent population dynamics
cites work: Q3334649
description: scientific article; zbMATH DE number 3961407