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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.
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