Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity
Chemical heterogeneity significantly influences the dynamics of phytoplankton and zooplankton interactions through its effects on phytoplankton carrying capacity and zooplankton ingestion rates. Our central objective of this study was to develop and examine a nonautonomous model of phytoplankton-zoo...
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Language: | English |
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AIMS Press
2024-08-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024301 |
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author | Zhenyao Sun Da Song Meng Fan |
author_facet | Zhenyao Sun Da Song Meng Fan |
author_sort | Zhenyao Sun |
collection | DOAJ |
description | Chemical heterogeneity significantly influences the dynamics of phytoplankton and zooplankton interactions through its effects on phytoplankton carrying capacity and zooplankton ingestion rates. Our central objective of this study was to develop and examine a nonautonomous model of phytoplankton-zooplankton growth, which incorporates season-driven variations in light intensity and chemical heterogeneity. The dynamics of the system is characterized by positive invariance, dissipativity, boundary dynamics, and internal dynamics. Subsequently, numerical simulations were conducted to validate the theoretical findings and to elucidate the effects of seasonal light intensity, nutrient availability, and zooplankton loss rates on phytoplankton dynamics. The outcomes of our model and analysis offer a potential explanation for seasonal phytoplankton blooms. |
format | Article |
id | doaj-art-36b11dcd27154a4ba3eeaa1381f87f40 |
institution | Kabale University |
issn | 1551-0018 |
language | English |
publishDate | 2024-08-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj-art-36b11dcd27154a4ba3eeaa1381f87f402025-01-23T07:47:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-08-012186870689710.3934/mbe.2024301Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensityZhenyao Sun0Da Song1Meng Fan2School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, ChinaSchool of Science, Shanghai Maritime University, 1550 Haigang Avenue, Shanghai, 201306, ChinaSchool of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, ChinaChemical heterogeneity significantly influences the dynamics of phytoplankton and zooplankton interactions through its effects on phytoplankton carrying capacity and zooplankton ingestion rates. Our central objective of this study was to develop and examine a nonautonomous model of phytoplankton-zooplankton growth, which incorporates season-driven variations in light intensity and chemical heterogeneity. The dynamics of the system is characterized by positive invariance, dissipativity, boundary dynamics, and internal dynamics. Subsequently, numerical simulations were conducted to validate the theoretical findings and to elucidate the effects of seasonal light intensity, nutrient availability, and zooplankton loss rates on phytoplankton dynamics. The outcomes of our model and analysis offer a potential explanation for seasonal phytoplankton blooms.https://www.aimspress.com/article/doi/10.3934/mbe.2024301phytoplankton growthecological stoichiometryseasonal light intensityzooplankton |
spellingShingle | Zhenyao Sun Da Song Meng Fan Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity Mathematical Biosciences and Engineering phytoplankton growth ecological stoichiometry seasonal light intensity zooplankton |
title | Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity |
title_full | Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity |
title_fullStr | Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity |
title_full_unstemmed | Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity |
title_short | Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity |
title_sort | dynamics of a stoichiometric phytoplankton zooplankton model with season driven light intensity |
topic | phytoplankton growth ecological stoichiometry seasonal light intensity zooplankton |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2024301 |
work_keys_str_mv | AT zhenyaosun dynamicsofastoichiometricphytoplanktonzooplanktonmodelwithseasondrivenlightintensity AT dasong dynamicsofastoichiometricphytoplanktonzooplanktonmodelwithseasondrivenlightintensity AT mengfan dynamicsofastoichiometricphytoplanktonzooplanktonmodelwithseasondrivenlightintensity |