Parameter identification in a structured population model

Alexander Lorz, Jan-Frederik Pietschmann, Matthias Schlottbom

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    Abstract

    We study parameter identification problems in a structured population model without mutations. Given measurements of the total population size or critical points of the population, we aim to recover its growth rate, death rate or initial distribution. We present uniqueness results under suitable assumptions and present counterexamples when these assumptions are violated. Our results are supplemented by numerical studies, either based on Tikhonov regularization or the use of explicit reconstruction formulas.
    Original languageEnglish
    Article number095008
    JournalInverse problems
    Volume35
    Issue number9
    Early online date18 Apr 2019
    DOIs
    Publication statusPublished - 21 Aug 2019

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