Model stability and instability in age structured populations

J. M. Cushing

doi:10.1016/0022-5193(80)90307-0

Model stability and instability in age structured populations

J. M. Cushing

Mathematics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

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 language	English (US)
Pages (from-to)	709-730
Number of pages	22
Journal	Journal of Theoretical Biology
Volume	86
Issue number	4
DOIs	https://doi.org/10.1016/0022-5193(80)90307-0
State	Published - 1980

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/0022-5193(80)90307-0

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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.",

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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.

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Model stability and instability in age structured populations

Abstract

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