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Dynamics of a periodic stoichiometric model with application in predicting and controlling algal bloom in Bohai Sea off China

1 School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, P. R. China
2 School of Science, Dalian Maritime University, 1 Linghai Road, Dalian, Liaoning, 116026, P. R. China
3 Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

Special Issues: Resource Explicit Population Models

We develop a nonautonomous stoichiometric algal growth model incorporating a seasondriven light intensity. We characterize the model dynamics by showing positive invariance, dissipativity, boundary dynamics, and internal dynamics. We use numerical simulations to uncover the impacts of the seasonal light intensity and the nutrient availability on the algal dynamics. We discuss two control methods, removing algae (RA) periodically and blocking nutrient (BN) input from rivers constantly, via our modeling approach. By comparison, the BN method is a more effective way to terminate algal bloom in Yellow Sea off China. The model dynamics can fit the Bohai Sea data well. Our model and analysis provide a possible explanation of seasonal algal bloom and give some measurements for controlling algal bloom in China’s coastal regions.
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Keywords stoichiometric model; algal bloom; seasonal light; nutrient; control method; Bohai Sea; qualitative analysis

Citation: Da Song, Meng Fan, Ming Chen, Hao Wang. Dynamics of a periodic stoichiometric model with application in predicting and controlling algal bloom in Bohai Sea off China. Mathematical Biosciences and Engineering, 2019, 16(1): 119-138. doi: 10.3934/mbe.2019006

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