Geodesic
Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
R. Rudnicki1, 2 ; R. Wieczorek1
1 Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland
2 Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 81-97.

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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.
DOI : 10.1051/mmnp:2006005

R. Rudnicki 1, 2 ; R. Wieczorek 1

1 Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland
2 Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland 
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R. Rudnicki; R. Wieczorek. Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation. Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 81-97. doi : 10.1051/mmnp:2006005. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006005/

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