On the dynamics of a population subject to slowly changing vital rates
type: Item
instance of: scholarly article
title: On the dynamics of a population subject to slowly changing vital rates
zbMATH Open document ID: 0625.92014
DOI: 10.1016/0025-5564(86)90048-9
author: Marc Artzrouni
published in: Mathematical Biosciences
publication date: 1986-01-01T00:00:00Z
review text: This paper investigates the dynamics of a discrete population that is deterministically subject to slowly changing vital rates (the vital rates are ``almost constant'' during any finite time interval). Approximate closed-form expressions are proposed for the following parameters of an age-structured population: the birth and death rates, the age-specific growth rates, the age distribution, and the total population. These results, which are based on the recurrence equations of population dynamics, were tested in a realistic setting by projecting the U.S. female population subject to changing levels of fertility.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4016662
zbMATH Keywords: discrete population
zbMATH Keywords: slowly changing vital rates
zbMATH Keywords: Approximate closed-form expressions
zbMATH Keywords: birth and death rates
zbMATH Keywords: age-specific growth rates
zbMATH Keywords: age distribution
zbMATH Keywords: total population
zbMATH Keywords: recurrence equations of population dynamics
zbMATH Keywords: U.S. female population
MaRDI profile type: Publication
full work available at URL: 0025-5564(86)90048-9
OpenAlex ID: W2070421495
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description: scientific article; zbMATH DE number 4016662