Applications of Perron-Frobenius Theory to Population Dynamics

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dc.creatorLi, Chi-Kwong
dc.creatorSchneider, Hans
dc.date2001-09-02
dc.date.accessioned2026-07-07T04:43:14Z
dc.date.available2026-07-07T04:43:14Z
dc.descriptionBy the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result is further refined with some additional nonnegative matrix theory. When the fertility matrix is scaled by the net reproductive rate, the growth rate of the model is 1. More generally, we show how to achieve a given growth rate for the model by scaling the fertility matrix. Demographic interpretations of the results are given.
dc.descriptionAlso math demography
dc.identifierhttps://arxiv.org/abs/math/0109008
dc.identifierhttp://arxiv.org/abs/math/0109008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62128
dc.subjectRings and Algebras
dc.titleApplications of Perron-Frobenius Theory to Population Dynamics
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