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Matematicheskaya Biologiya i Bioinformatika, 2019, Volume 14, Issue 2, Pages 393–405
DOI: https://doi.org/10.17537/2019.14.393
(Mi mbb391)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

The influence of trophic interactions in the plankton community on its spatiotemporal dynamics

E. E. Girichevaab

a Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences, Vladivostook, Russia
b Far Eastern Federal University, Vladivostook, Russia
Full-text PDF (867 kB) Citations (4)
References:
Abstract: The present work considers a model of spatiotemporal dynamics for plankton community in a vertical column of water. Usually mesozooplankton (e.g. copepods) is considered as the main grazer in models of plankton systems. However, numerous studies have appeared recently that microzooplankton, not copepods, are the primary grazers in oceanic ecosystems. This work presents the model with microzooplankton and copepods as phytoplankton predators. Functional response for copepod feeding includes its preference for phytoplankton and microzooplankton. The effects of half saturation constants of zooplankton and diet variants on the stability of spatial homogeneous equilibriums was studied. In the case of effective grazing by mesozooplankton the system demonstrates stable coexistence of both zooplankton groups if phytoplankton carrying capacity is sufficient for it. In the case if microzooplankton protists are ineffective grazers – they are displaced by copepods or survive in a small number if their portion in the copepods diet is insignificant. The phenomenon of multistability has been identified in the system for copepod diet with microzooplankton preference. It means that several equilibria are stable at the same time, and the dynamics of the system are determined by the initial conditions. Allowing for spatial dependence in the modeled plankton community causes spatial structures appearance induced by Turing instability. It means that the system with diffusion only is able to induce stationary vertical profiles of plankton biomass. Such system state is possible if both predators are effective grazers and the microzooplankton prevails in the copepods diet.
Key words: plankton community, mathematical model, spatiotemporal dynamics, copepod diet, stability of equilibriums, spatial patterns.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00213
Received 16.05.2019, 04.07.2019, Published 11.07.2019
Document Type: Article
UDC: 51-76+574.5
Language: Russian
Citation: E. E. Giricheva, “The influence of trophic interactions in the plankton community on its spatiotemporal dynamics”, Mat. Biolog. Bioinform., 14:2 (2019), 393–405
Citation in format AMSBIB
\Bibitem{Gir19}
\by E.~E.~Giricheva
\paper The influence of trophic interactions in the plankton community on its spatiotemporal dynamics
\jour Mat. Biolog. Bioinform.
\yr 2019
\vol 14
\issue 2
\pages 393--405
\mathnet{http://mi.mathnet.ru/mbb391}
\crossref{https://doi.org/10.17537/2019.14.393}
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  • https://www.mathnet.ru/eng/mbb/v14/i2/p393
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:80
    Full-text PDF :45
    References:18
     
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