Model stability and instability in age structured populations

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

Primary sources of instability and oscillation in the dynamics of a single species are various mechanisms which cause delayed responses of fecundity to environmental changes. Fundamental mechanisms include gestation periods, age-specific reproductive rates and age-specific (or weighted) effects of population density on fecundity. The effects on the stability and instability of equilibria caused by these three specific mechanisms are studied by means of a general model equation.

Original languageEnglish (US)
Pages (from-to)709-730
Number of pages22
JournalJournal of Theoretical Biology
Volume86
Issue number4
StatePublished - 1980

Fingerprint

Age-structured Population
Fertility
fecundity
gestation period
Population Density
Population
oscillation
population density
Pregnancy
Model
Oscillation

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Model stability and instability in age structured populations. / Cushing, Jim M.

In: Journal of Theoretical Biology, Vol. 86, No. 4, 1980, p. 709-730.

Research output: Contribution to journalArticle

@article{6e077c734e8e4a05835833f34065dce2,
title = "Model stability and instability in age structured populations",
abstract = "Primary sources of instability and oscillation in the dynamics of a single species are various mechanisms which cause delayed responses of fecundity to environmental changes. Fundamental mechanisms include gestation periods, age-specific reproductive rates and age-specific (or weighted) effects of population density on fecundity. The effects on the stability and instability of equilibria caused by these three specific mechanisms are studied by means of a general model equation.",
author = "Cushing, {Jim M}",
year = "1980",
language = "English (US)",
volume = "86",
pages = "709--730",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",
number = "4",

}

TY - JOUR

T1 - Model stability and instability in age structured populations

AU - Cushing, Jim M

PY - 1980

Y1 - 1980

N2 - Primary sources of instability and oscillation in the dynamics of a single species are various mechanisms which cause delayed responses of fecundity to environmental changes. Fundamental mechanisms include gestation periods, age-specific reproductive rates and age-specific (or weighted) effects of population density on fecundity. The effects on the stability and instability of equilibria caused by these three specific mechanisms are studied by means of a general model equation.

AB - Primary sources of instability and oscillation in the dynamics of a single species are various mechanisms which cause delayed responses of fecundity to environmental changes. Fundamental mechanisms include gestation periods, age-specific reproductive rates and age-specific (or weighted) effects of population density on fecundity. The effects on the stability and instability of equilibria caused by these three specific mechanisms are studied by means of a general model equation.

UR - http://www.scopus.com/inward/record.url?scp=0019158397&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019158397&partnerID=8YFLogxK

M3 - Article

C2 - 7253668

AN - SCOPUS:0019158397

VL - 86

SP - 709

EP - 730

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 4

ER -