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Conditions determining the local stability of populations
Journal article   Peer reviewed

Conditions determining the local stability of populations

Evelyn Weinstock and Chris Rorres
Mathematical population studies, v 2(1), pp 69-87
01 Jul 1989
PMID: 12315966

Abstract

age-structured density-dependent equilibrium net reproduction rate Population dynamics stability
The conditions that determine the local stability classification of an equilibrium population configuration are analyzed. The population investigated is age-structured and density-dependent, where density is determined by an age-weighted population size. Two demographic parameters are introduced: the marginal birth rate and marginal death rate, which describe the marginal density-dependence of the birth and death rates of the equilibrium population. Certain necessary and/or sufficient conditions determining stability are developed, most of them involving the net reproduction rate of the population, and examples illustrating these conditions are presented.

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