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Matematicheskoe modelirovanie, 2016, Volume 28, Number 7, Pages 96–106 (Mi mm3751)  

This article is cited in 56 scientific papers (total in 56 papers)

Optimal control of sustainable development in biological rehabilitation of the Azov Sea

A. Nikitinaa, A. I. Sukhinovb, G. A. Ugolnitskya, A. B. Usova, A. E. Chistyakova, M. Puchkina, I. S. Semenova

a Southern Federal University
b Don State Technical University
References:
Abstract: The article is devoted to the application of the concept of sustainable development management to the task of combating the eutrophication of shallow water (on the example of the Azov Sea). When describing the state dynamics of the reservoir are PDEs that are solved numerically by a finite difference method. Dynamic problem of minimizing the cost of ecosystem maintaining of the reservoir in defined condition, which is interpreted as the requirement of sustainable development, is solved. Research and forecast complex was developed, which include mathematical models of hydrobiology of shallow water, a database of environmental data, and program library, used to design of development scenarios of ecological condition in the Azov Sea. The forecast of changes of concentration of malicious blue-green algae due to water pollution of shallow water by nutrients, which are caused rapid growth of these algae, was given. The influence of the spatial distribution of temperature, salinity on biological treatment of the Azov Sea through the introduction of green algaes, displaced toxic blue-green algaes. Using deigned research and forecast complex that is used the materials of expedition works, we can study the key mechanisms of formation of horizontal and vertical zones in the distribution of concentrations of nutrients, oxygen and plankton populations, to set the values of parameters control the amount of hydrogen sulfide and hypoxemic zones, to evaluate the possibility of biological treatment of the waters of the Azov Sea with the help of his introduction green algae Chlorella vulgaris BIN, followed by displacement of toxic most common in shallow waters the blue-green algae, such as Aphanizomenon flos-aquae, to rank eco-efficiency control factors the stability of the species composition of phytoplankton, including " algal bloom" of microalgae. Examples of numerical calculations and the analysis of the obtained results were given.
Keywords: optimal control, simulation, homeostasis, algae, grid, discrete model.
Funding agency Grant number
Southern Federal University 213.01-07-2014/07ПЧВГ
Received: 26.03.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 1, Pages 101–107
DOI: https://doi.org/10.1134/S2070048217010112
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Nikitina, A. I. Sukhinov, G. A. Ugolnitsky, A. B. Usov, A. E. Chistyakov, M. Puchkin, I. S. Semenov, “Optimal control of sustainable development in biological rehabilitation of the Azov Sea”, Matem. Mod., 28:7 (2016), 96–106; Math. Models Comput. Simul., 9:1 (2017), 101–107
Citation in format AMSBIB
\Bibitem{NikSukUgo16}
\by A.~Nikitina, A.~I.~Sukhinov, G.~A.~Ugolnitsky, A.~B.~Usov, A.~E.~Chistyakov, M.~Puchkin, I.~S.~Semenov
\paper Optimal control of sustainable development in biological rehabilitation of the Azov Sea
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 7
\pages 96--106
\mathnet{http://mi.mathnet.ru/mm3751}
\elib{https://elibrary.ru/item.asp?id=26604119}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 1
\pages 101--107
\crossref{https://doi.org/10.1134/S2070048217010112}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85012024693}
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  • https://www.mathnet.ru/eng/mm3751
  • https://www.mathnet.ru/eng/mm/v28/i7/p96
  • This publication is cited in the following 56 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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