Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

R. Rudnicki; R. Wieczorek

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 1, Issue: 1, page 81-97
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Rudnicki, R., and Wieczorek, R.. "Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation." Mathematical Modelling of Natural Phenomena 1.1 (2010): 81-97. <http://eudml.org/doc/222345>.

@article{Rudnicki2010,
abstract = { 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. },
author = {Rudnicki, R., Wieczorek, R.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {phytoplankton dynamics; formation of aggregates; coagulation; fragmentation; diffusion},
language = {eng},
month = {3},
number = {1},
pages = {81-97},
publisher = {EDP Sciences},
title = {Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation},
url = {http://eudml.org/doc/222345},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Rudnicki, R.
AU - Wieczorek, R.
TI - Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 1
IS - 1
SP - 81
EP - 97
AB - 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.
LA - eng
KW - phytoplankton dynamics; formation of aggregates; coagulation; fragmentation; diffusion
UR - http://eudml.org/doc/222345
ER -

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