Growth, fission and the stable size distribution

O. Diekmann; H. A. Lauwerier; T. Aldenberg; J. A.J. Metz

doi:10.1007/BF00280662

Growth, fission and the stable size distribution

O. Diekmann^*, H. A. Lauwerier, T. Aldenberg, J. A.J. Metz

^*Corresponding author for this work

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

Abstract

A model for the growth of a size-structured population reproducing by fission and living under changing (nutrient) conditions is formulated and analysed. It is shown that the dynamics is asymptotically described by an o.d.e. total population model, while the size distribution becomes stationary.

Original language	English
Pages (from-to)	135-148
Number of pages	14
Journal	Journal of Mathematical Biology
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/BF00280662
Publication status	Published - Nov 1983
Externally published	Yes

Keywords

Balance equation
First order p.d.e.
nutrient limitation
Reproduction by fission
Size-dependent population growth
Transformed arguments

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10.1007/BF00280662

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title = "Growth, fission and the stable size distribution",

abstract = "A model for the growth of a size-structured population reproducing by fission and living under changing (nutrient) conditions is formulated and analysed. It is shown that the dynamics is asymptotically described by an o.d.e. total population model, while the size distribution becomes stationary.",

keywords = "Balance equation, First order p.d.e., nutrient limitation, Reproduction by fission, Size-dependent population growth, Transformed arguments",

author = "O. Diekmann and Lauwerier, {H. A.} and T. Aldenberg and Metz, {J. A.J.}",

year = "1983",

month = nov,

doi = "10.1007/BF00280662",

language = "English",

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AU - Diekmann, O.

AU - Lauwerier, H. A.

AU - Aldenberg, T.

AU - Metz, J. A.J.

PY - 1983/11

Y1 - 1983/11

N2 - A model for the growth of a size-structured population reproducing by fission and living under changing (nutrient) conditions is formulated and analysed. It is shown that the dynamics is asymptotically described by an o.d.e. total population model, while the size distribution becomes stationary.

AB - A model for the growth of a size-structured population reproducing by fission and living under changing (nutrient) conditions is formulated and analysed. It is shown that the dynamics is asymptotically described by an o.d.e. total population model, while the size distribution becomes stationary.

KW - Balance equation

KW - First order p.d.e.

KW - nutrient limitation

KW - Reproduction by fission

KW - Size-dependent population growth

KW - Transformed arguments

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DO - 10.1007/BF00280662

M3 - Article

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SP - 135

EP - 148

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

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ER -

Growth, fission and the stable size distribution

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Keywords

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