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formation ofaggregates

Mathematical Modelling of Natural Phenomena (1)

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Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
R. Rudnicki, R. Wieczorek
Journal:

Mathematical Modelling of Natural Phenomena / Volume 1 / Issue 1 / 2006

Published online by Cambridge University Press:

15 May 2008, pp. 81-97

Print publication:

2006
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We present models of the dynamics ofphytoplankton aggregates. We start with an individual-based modelin which aggregates can grow, divide, joint and move randomly.Passing to infinity with the number of individuals, we obtain amodel which describes the space-size distribution of aggregates.The density distribution function satisfies a non-linear transport equation, which contains terms responsible for thegrowth of phytoplankton aggregates, their fragmentation,coagulation, and diffusion.