A mathematical model for marine dinoflagellates blooms
type: Item
instance of: scholarly article
title: A mathematical model for marine dinoflagellates blooms
zbMATH Open document ID: 1462.35413
author: Yanyan Li
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-02-23T00:00:00Z
review text: This work analyses a comprehensive mathematical model for the life cycle of dinoflagellates motivated by the environmental importance of an algal bloom, which can be harmful to water systems. The model includes equations for the subsequent stages of mature cysts, alga, new cysts, and resting cysts. Respectively, the spatial domain covers a realistic geographical situation bounded by a coastward, open sea, water-air interface, and ocean's bottom. Thus, the stated system of ordinary and partial differential equations takes into account both alga's states transformations and the respective spatiotemporal movements and distributions. For this system, the existence and uniqueness of the the solution is proven, and, additionally, the reappearance of the alga population stored as cysts is shortly discussed.
reviewed by: Eugene Postnikov
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C80
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7314574
zbMATH Keywords: models for algal red tide
zbMATH Keywords: mathematical model in biology
zbMATH Keywords: systems of non linear partial differential equations
zbMATH Keywords: evolution equations
zbMATH Keywords: qualitative properties
MaRDI profile type: Publication
full work available at URL: dcdss.2020424
OpenAlex ID: W3085222271
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DOI: 10.3934/DCDSS.2020424
description: scientific article; zbMATH DE number 7314574