Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-27T02:02:58.368Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  15 May 2008

R. Rudnicki  and
R. Wieczorek
R. Rudnicki*
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
R. Wieczorek
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland
*
[email protected]
Get access

Abstract

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.

Keywords

phytoplankton dynamicsformation ofaggregatescoagulationfragmentationdiffusion
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 1 , Issue 1: Population dynamics , 2006 , pp. 81 - 97
Copyright
© EDP Sciences, 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)