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The inverse problem of linear age-structured population dynamics

The inverse problem of linear age-structured population dynamics We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a unique solution. The proof uses a variant of the Müntz-Szasz theorem. An age-dependent cell fission model is given special attention. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

The inverse problem of linear age-structured population dynamics

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Birkhäuser Verlag Basel,
Subject
Mathematics; Analysis
ISSN
1424-3199
DOI
10.1007/s00028-002-8087-9
Publisher site
See Article on Publisher Site

Abstract

We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a unique solution. The proof uses a variant of the Müntz-Szasz theorem. An age-dependent cell fission model is given special attention.

Journal

Journal of Evolution EquationsSpringer Journals

Published: May 1, 2002

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