Well-posedness of physiologically structured population models for Daphnia magna - How biological concepts can benefit by abstract mathematical analysis

H. R. Thieme

doi:10.1007/BF00277393

Well-posedness of physiologically structured population models for Daphnia magna - How biological concepts can benefit by abstract mathematical analysis

H. R. Thieme

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English (US)
Pages (from-to)	299-317
Number of pages	19
Journal	Journal Of Mathematical Biology
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/BF00277393
State	Published - Jun 1988
Externally published	Yes

Keywords

Age-dependent mortality
Measure-valued solutions
Size-dependent reproduction

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/BF00277393

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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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AB - 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.

KW - Age-dependent mortality

KW - Measure-valued solutions

KW - Size-dependent reproduction

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Well-posedness of physiologically structured population models for Daphnia magna - How biological concepts can benefit by abstract mathematical analysis

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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