Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity

Zhenyao Sun; Da Song; Meng Fan; Zhenyao Sun; Da Song; Meng Fan

doi:10.3934/mbe.2024301

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 8: 6870-6897. doi: 10.3934/mbe.2024301

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Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity

1.
School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, China
2.
School of Science, Shanghai Maritime University, 1550 Haigang Avenue, Shanghai, 201306, China

Received: 05 March 2024 Revised: 10 July 2024 Accepted: 06 August 2024 Published: 20 August 2024

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.
- phytoplankton growth,
- ecological stoichiometry,
- seasonal light intensity,
- zooplankton
Citation: Zhenyao Sun, Da Song, Meng Fan. Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity[J]. Mathematical Biosciences and Engineering, 2024, 21(8): 6870-6897. doi: 10.3934/mbe.2024301

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Abstract

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.

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