On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure
type: Item
instance of: scholarly article
title: On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure
zbMATH Open document ID: 1321.35090
author: Sze-Bi Hsu
author: Linfeng Mei
author: Feng-Bin Wang
published in: Journal of Differential Equations
publication date: 2015-08-19T00:00:00Z
review text: This work deals with a model of phytoplankton dynamics formulated as a reaction-diffusion-advection system with respect to the population density of cells with a distribution of their sizes. The vital processes (growth and division) are considered with respect to the light intensity in a water column. The assumed regulations such as the intensity-dependent Monod production rate, the Lambert-Beer depth law, and the restriction on the cells sizes, which allow for dividing, are quite realistic from the biophysical point of view. The rest of the paper is a pure mathematical study formulated in the language of spectral theory. From its biological implications, the most important is the statement that phytoplankton survives if and only if its death rate affected by the cell structure is less than the defined critical death rate.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 37C65
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6473670
zbMATH Keywords: reaction-diffusion-advection system
zbMATH Keywords: phytoplankton
zbMATH Keywords: light-dependent growth
zbMATH Keywords: critical eigenvalue
reviewed by: Eugene Postnikov
MaRDI profile type: Publication
full work available at URL: j.jde.2015.06.030
OpenAlex ID: W2184116225
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DOI: 10.1016/J.JDE.2015.06.030
description: scientific article; zbMATH DE number 6473670