Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 81-97
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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.
@article{10_1051_mmnp:2006005,
author = {R. Rudnicki and R. Wieczorek},
title = {Phytoplankton {Dynamics:} from the {Behavior} of {Cells} to a {Transport} {Equation}},
journal = {Mathematical modelling of natural phenomena},
pages = {81--97},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {2006},
doi = {10.1051/mmnp:2006005},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006005/}
}
TY - JOUR AU - R. Rudnicki AU - R. Wieczorek TI - Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation JO - Mathematical modelling of natural phenomena PY - 2006 SP - 81 EP - 97 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006005/ DO - 10.1051/mmnp:2006005 LA - en ID - 10_1051_mmnp:2006005 ER -
%0 Journal Article %A R. Rudnicki %A R. Wieczorek %T Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation %J Mathematical modelling of natural phenomena %D 2006 %P 81-97 %V 1 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006005/ %R 10.1051/mmnp:2006005 %G en %F 10_1051_mmnp:2006005
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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