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

Keywords

phytoplankton dynamicsformation of aggregatescoagulationfragmentationdiffusion
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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