https://doi.org/10.1140/epjp/s13360-023-04111-0
Regular Article
Dynamics of a stochastic nutrient-plankton model with impulsive control strategy
1
School of Life and Environmental Science, Wenzhou University, 325035, Zhejiang, China
2
Environmental Engineering Program, University of Northern British Columbia, V2N 4Z9, Prince George, BC, Canada
3
Department of Basic Science and Humanities, Indian Institute of Information Technology, 813210, Bhagalpur, India
4
National and Local Joint Engineering Research Center for Ecological Treatment Technology of Urban Water Pollution, Wenzhou University, 325035, Zhejiang, China
Received:
12
January
2023
Accepted:
16
May
2023
Published online:
27
May
2023
In this paper, we investigate an impulsive nutrient-plankton model in a stochastic environment. The model dynamics have been studied by using the theoretical as well as numerical approaches. We observe the existence of a global positive solution, which indicates that the population size will remain non-negative for sufficiently large time. By using a Lyapunov function, we derive sufficient conditions for the existence of a positive T-periodic solution. Our numerical results indicate that the coupling between environmental stochasticity and impulsive control play an important role in regulating the interplay between nutrients concentration and plankton densities in the aquatic ecosystems. Overall, the results obtained in this study may provide insight into how plankton dynamics respond to impulsive perturbation under environmental fluctuation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
