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Local Stability of an Age-Structured Population with Density-Dependent Fertility and Mortality
Journal article   Peer reviewed

Local Stability of an Age-Structured Population with Density-Dependent Fertility and Mortality

Evelyn Weinstock and Chris Rorres
SIAM journal on applied mathematics, v 47(3), pp 589-604
01 Jun 1987

Abstract

Age Birth rate Equilibrium Females Fertility Mortality Population density
The local stability of an equilibrium population configuration of a nonlinear, continuous, age-structured model with fertility and mortality dependent on total population size is investigated. Two demographic parameters, the marginal birth and death rates, which measure the sensitivities of the fertility and mortality of the equilibrium population configuration to changes in population size, are introduced. It is shown that in certain cases the values of these two parameters completely determine the stability classification, while in other cases further information is required. Examples illustrating these results are presented.

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Web of Science research areas
Mathematics, Applied
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