Generalized stable population theory
type: Item
instance of: scholarly article
title: Generalized stable population theory
zbMATH Open document ID: 0567.92013
DOI: 10.1007/BF00276233
author: Marc Artzrouni
published in: Journal of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: Generalization of stable population theory is proposed in this paper. Necessary and sufficient conditions under which a population subject to time dependent vital rates reaches an asymptotic stable exponential equilibrium are derived. Implications of these results are discussed.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 3906290
zbMATH Keywords: convergence of mortality rates
zbMATH Keywords: dominant eigenvalue
zbMATH Keywords: rapid convergence
zbMATH Keywords: stochastic matrix
zbMATH Keywords: ergodicity
zbMATH Keywords: Leslie matrix
zbMATH Keywords: Generalization of stable population theory
zbMATH Keywords: Necessary and sufficient conditions
zbMATH Keywords: time dependent vital rates
zbMATH Keywords: asymptotic stable exponential equilibrium
reviewed by: P. W. A. Dayananda
MaRDI profile type: Publication
Wikidata QID: Q45249476
cites work: On the convergence of infinite products of matrices
cites work: Ergodic theorems in demography
cites work: The sensitivity of population growth rate to perturbations in the life cycle components
cites work: Convergence of the age structure: applications of the projective metric
cites work: Q4673631
cites work: Q4180709
cites work: ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS
cites work: Q4048871
cites work: Non-negative matrices and Markov chains. 2nd ed
cites work: Q4159220
cites work: Asymptotic growth and stability in populations with time dependent vital rates
cites work: Q5342712
full work available at URL: https://doi.org/10.1007/bf00276233
OpenAlex ID: W2078997962
description: scientific article; zbMATH DE number 3906290