Population dynamics in variable environments. VI. Cyclical environments
type: Item
instance of: scholarly article
title: Population dynamics in variable environments. VI. Cyclical environments
zbMATH Open document ID: 0606.92024
DOI: 10.1016/0040-5809(85)90019-X
published in: Theoretical Population Biology
publication date: 1985-01-01T00:00:00Z
review text: [For part IV see J. Math. Biol. 14, 221-230 (1982; Zbl 0494.92015).] This paper studies the dynamics of an age-structured population which experiences cyclical variation in vital rates. The principal features of population behavior are found to be contained in an explicitly calculable response function. Three distinct regimes of qualitative behavior are described when cycle period is respectively much less than, of the order of, and much greater than the average generation length. These results make explicit the way in which transient properties corresponding to average vital rates determine population response to cycles.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 3981003
zbMATH Keywords: discrete time Fourier decomposition
zbMATH Keywords: Leslie matrix model
zbMATH Keywords: age-structured population
zbMATH Keywords: cyclical variation in vital rates
zbMATH Keywords: explicitly calculable response function
zbMATH Keywords: transient properties
zbMATH Keywords: average vital rates
zbMATH Keywords: population response to cycles
Wikidata QID: Q93640164
author: Shripad D. Tuljapurkar
MaRDI profile type: Publication
cites work: Stable population analysis in periodic environment
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description: scientific article; zbMATH DE number 3981003