On a nonlocal reaction-diffusion-advection system modeling phytoplankton growth with light and nutrients
type: Item
instance of: scholarly article
title: On a nonlocal reaction-diffusion-advection system modeling phytoplankton growth with light and nutrients
zbMATH Open document ID: 1271.92039
author: Linfeng Mei
author: Xiaoyan Zhang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2012-03-19T00:00:00Z
review text: The authors study the steady state solutions of a phytoplankton nutrient system. The system under consideration was first proposed by Huisman et al. which models the dynamics of a single phytoplankton species whose growth is limited by light and nutrients in a vertical water column. The authors first study the the existence and nonexistence problem of the model system. After analyzing the limiting profiles of the positive solutions as the specific phytoplankton loss rate approaches zero, the authors also show that for small diffusions, the phytoplankton die out regardless of the nutrient supply. The asymptotic profile of the positive solution has been studied when the diffusion coefficient is very large. The results obtained in this work are good.
reviewed by: Syed Abbas
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6015381
zbMATH Keywords: phytoplankton dynamics
zbMATH Keywords: steady state solutions
MaRDI profile type: Publication
full work available at URL: dcdsb.2012.17.221
OpenAlex ID: W2076305271
DOI: 10.3934/DCDSB.2012.17.221
description: scientific article; zbMATH DE number 6015381