Hopf bifurcation and the stability of non-linear age-dependent population models
type: Item
instance of: scholarly article
title: Hopf bifurcation and the stability of non-linear age-dependent population models
zbMATH Open document ID: 0649.92020
DOI: 10.1016/0898-1221(88)90280-5
author: J. H. Swart
publication date: 1988-01-01T00:00:00Z
review text: The possibility of Hopf bifurcation into stable orbits is considered for the Gurtin-MacCamy model of age-dependent population dynamics, in which the mortality function depends only on the population while fertility is a fairly general function of age as well as population. In addition, an algorithm is produced which provides a necessary condition for Hopf bifurcation to occur for arbitrary systems of ordinary differential equations.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4061050
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stable orbits
zbMATH Keywords: Gurtin-MacCamy model of age-dependent population dynamics
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90280-5
OpenAlex ID: W2026388026
cites work: Non-linear age-dependent population dynamics
cites work: Some simple models for nonlinear age-dependent population dynamics
cites work: Stability of biochemical reaction tanks
cites work: The stability of a nonlinear, age dependent population model, as applied to a biochemical reaction tank
cites work: Q4060816
cites work: Q3334649
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4061050