A stoichiometrically derived algal growth model and its global analysis

Organisms are composed of multiple chemical elements such as carbon,nitrogen, and phosphorus. The scarcity of any of these elements canseverely restrict organismal and population growth. However, manytrophic interaction models only consider carbon limitation viaenergy flow. In this paper, we constru...

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Main Authors: Xiong Li, Hao Wang
Format: Article
Language:English
Published: AIMS Press 2010-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.825
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author Xiong Li
Hao Wang
author_facet Xiong Li
Hao Wang
author_sort Xiong Li
collection DOAJ
description Organisms are composed of multiple chemical elements such as carbon,nitrogen, and phosphorus. The scarcity of any of these elements canseverely restrict organismal and population growth. However, manytrophic interaction models only consider carbon limitation viaenergy flow. In this paper, we construct an algal growth model withthe explicit incorporation of light and nutrient availability tocharacterize both carbon and phosphorus limitations. We provide aglobal analysis of this model to illustrate how light and nutrientavailability regulate algal dynamics.
format Article
id doaj-art-882469c2e2924478b2ecad28e5b5bc1e
institution Kabale University
issn 1551-0018
language English
publishDate 2010-09-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-882469c2e2924478b2ecad28e5b5bc1e2025-01-24T02:00:58ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-09-017482583610.3934/mbe.2010.7.825A stoichiometrically derived algal growth model and its global analysisXiong Li0Hao Wang1Department of Mathematical Sciences, Beijing Normal University, Beijing 100875Department of Mathematical Sciences, Beijing Normal University, Beijing 100875Organisms are composed of multiple chemical elements such as carbon,nitrogen, and phosphorus. The scarcity of any of these elements canseverely restrict organismal and population growth. However, manytrophic interaction models only consider carbon limitation viaenergy flow. In this paper, we construct an algal growth model withthe explicit incorporation of light and nutrient availability tocharacterize both carbon and phosphorus limitations. We provide aglobal analysis of this model to illustrate how light and nutrientavailability regulate algal dynamics.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.825carbonlightnutrientalgaeglobal stability.phosphorusstoichiometrycellquota
spellingShingle Xiong Li
Hao Wang
A stoichiometrically derived algal growth model and its global analysis
Mathematical Biosciences and Engineering
carbon
light
nutrient
algae
global stability.
phosphorus
stoichiometry
cellquota
title A stoichiometrically derived algal growth model and its global analysis
title_full A stoichiometrically derived algal growth model and its global analysis
title_fullStr A stoichiometrically derived algal growth model and its global analysis
title_full_unstemmed A stoichiometrically derived algal growth model and its global analysis
title_short A stoichiometrically derived algal growth model and its global analysis
title_sort stoichiometrically derived algal growth model and its global analysis
topic carbon
light
nutrient
algae
global stability.
phosphorus
stoichiometry
cellquota
url https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.825
work_keys_str_mv AT xiongli astoichiometricallyderivedalgalgrowthmodelanditsglobalanalysis
AT haowang astoichiometricallyderivedalgalgrowthmodelanditsglobalanalysis
AT xiongli stoichiometricallyderivedalgalgrowthmodelanditsglobalanalysis
AT haowang stoichiometricallyderivedalgalgrowthmodelanditsglobalanalysis