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  • Title: Conditions determining the local stability of populations.
    Author: Weinstock E, Rorres C.
    Journal: Math Popul Stud; 1989; 2(1):69-87. PubMed ID: 12315966.
    Abstract:
    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. 2 demographic parameters are introduced: the marginal birth rate and the 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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