Math. Model. Nat. Phenom.
Volume 1, Number 1, 2006Population dynamics
|Page(s)||81 - 97|
|Published online||15 May 2008|
Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.