| Issue |
Math. Model. Nat. Phenom.
Volume 1, Number 1, 2006
Population dynamics
|
|
|---|---|---|
| Page(s) | 81 - 97 | |
| DOI | https://doi.org/10.1051/mmnp:2006005 | |
| Published online | 15 May 2008 | |
Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
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
Corresponding author: rudnicki@us.edu.pl
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.
Mathematics Subject Classification: 47J35 / 60K35 / 92D40
Key words: phytoplankton dynamics / formation of aggregates / coagulation / fragmentation / diffusion
© EDP Sciences, 2006
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