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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AIMS Press
2010-09-01
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Series: | Mathematical Biosciences and Engineering |
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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 |