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Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

Published online by Cambridge University Press:  15 May 2008

R. Rudnicki  and
R. Wieczorek
R. Rudnicki*
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
R. Wieczorek
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland
*
rudnicki@us.edu.pl
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Abstract

We present models of the dynamics ofphytoplankton aggregates. We start with an individual-based modelin which aggregates can grow, divide, joint and move randomly.Passing to infinity with the number of individuals, we obtain amodel which describes the space-size distribution of aggregates.The density distribution function satisfies a non-linear transport equation, which contains terms responsible for thegrowth of phytoplankton aggregates, their fragmentation,coagulation, and diffusion.

Keywords

phytoplankton dynamicsformation ofaggregatescoagulationfragmentationdiffusion
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 1 , Issue 1: Population dynamics , 2006 , pp. 81 - 97
Copyright
© EDP Sciences, 2006

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