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Well-posedness of physiologically structured population models for Daphnia magna

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Abstract

In this paper we heuristically discuss the well-posedness of three variants of the Kooijman/Metz model. Shortcomings concerning the uniqueness and continuous dependence on data of the solutions to one of the variants are traced back to an inconsistency in the biological concept of energy allocation in this model version. The conceptional consequences are discussed and an open question concerning energy allocation is pin-pointed.

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  1. H. R. Thieme

    Present address: Department of Mathematics, Harvey Mudd College, 91 711, Claremont, CA, USA

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  1. Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg, Federal Republic of Germany

    H. R. Thieme

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  1. H. R. Thieme
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Thieme, H.R. Well-posedness of physiologically structured population models for Daphnia magna . J. Math. Biology 26, 299–317 (1988). https://doi.org/10.1007/BF00277393

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  • DOI: https://doi.org/10.1007/BF00277393

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