Geodesic
Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
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
Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 81-97 Cet article a éte moissonné depuis la source EDP Sciences

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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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     title = {Phytoplankton {Dynamics:} from the {Behavior} of {Cells} to a {Transport} {Equation}},
     journal = {Mathematical modelling of natural phenomena},
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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

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