Novosibirsk State University Journal of Information Technologies
Scientic Journal

ISSN 2410-0420 (Online), ISSN 1818-7900 (Print)

Switch to
Russian

All Issues >> Contents: Volume 10, Issue No 1 (2012)

Stability in models of a vital activity of the phytoplankton
A. I. Abakumov

Institute of Automation and Control Processes, Far Eastern Branch of Russian Academy of Sciences
UDC code: 517.925:579

Abstract
A production of the phytoplankton composes a basis of a biological productivity of aquatic ecosystems. The phytoplankton is a basis of vitality for an aquatic basin. Methods of remote ocean sounding provide estimates of the chlorophyl and mineral substances abundance. Calculation in mathematical models of dynamics of abundance of the basic species of a phytoplankton can be made on the basis of this data for estimates of productivity. Models of dynamics of biomasses of the basic species of a phytoplankton are presented in this article. Similar mathematical models for microbiological communities are used for description of the dynamics of cultures in laboratory experiments. Qualitative properties of solutions at structural level are investigated.

Key Words
stability, equilibrium, phytoplankton, mathematical model

How to cite:
Abakumov A. I. Stability in models of a vital activity of the phytoplankton // Vestnik NSU Series: Information Technologies. - 2012. - Volume 10, Issue No 1. - P. 24-32. - ISSN 1818-7900. (in Russian).

Full Text in Russian

Available in PDF

References
1. Iorgensen S. E. Upravleniye ozernymi sistemami. M.: Agropromizdat, 1985. 160 s.
2. Riznichenko G. Yu., Rubin A. B. Matematicheskiye modeli biologicheskikh produktcionnykh protcessov. M.: Izd-vo MGU, 1993. 301 s.
3. Shushkina E. A., Vinogradov M. E., Gagarin V. I., Dyyakonov V. Yu., Lebedeva L. P., Nezlin N. P. Otcenka produktivnosti, skorosti obmena, trofodinamiki, a takzhe zapasov planktonnykh organizmov v raznoproduktivnykh raionakh okeana na osnovanii sputnikovykh i ekspeditcionnykh nablyudeny // Informatcionny byulleten RFFI. 1997. T. 5, № 4. S. 278.
4. Adamovich V. V., Rogozin D. Yu., Degermendzhi A. G. Poisk kriteriya regulirovaniya v nepreryvnoi kulture mikroorganizmov // Mikrobiologiya. 2005. T. 74, № 1. S. 5–16.
5. Abrosov N. S., Bogolyubov A. G. Ekologicheskiye geneticheskiye zakonomernosti sosushchestvovaniya i koevolyutcii vidov. Novosibirsk: Nauka. Sib. otd-niye, 1988. 333 s.
6. Droop M. R. The Nutrient Status of Algal Cells in Continuous Culture // J. Mar. Biol. Assoc. U. K. 1974. Vol. 54. P. 825–855.
7. Monod J. The Growth of Bacterial Cultures // Ann. Rev. Microbiology. 1949. Vol. 111. No. 2. P. 371–394.
8. Silkin V. A., Khailov K. M. Bioekologicheskiye mekhanizmy upravleniya v akvakulture. L.: Nauka, 1988. 230 c.
9. Alekseyev V. V., Kryshev I. I., Sazykina T. G. Fizicheskoye i matematicheskoye modelirovaniye ekosistem. SPb.: Gidrometeoizdat, 1992. 366 s.
10. Pautova L. A., Mikaelyan A. S., Silkin V. A. Struktura planktonnykh fitotcenov shelfovykh vod severo-vostochnoi chasti Chernogo morya v period massovogo razvitiya Emiliania huxleyi v 2002–2005 gg. // Okeanologiya. 2007. T. 47, № 3. S. 408–417.
11. Jørgensen S. E. A Eutrophication Model for a Lake // J. Ecol. Modelling. 1976. Vol. 2. P. 147–165.
12. Gantmakher F. R. Teoriya matritc. M.: Nauka, 1988. 576 s.
13. Logofet D. O., Ulyanov N. B. Neobkhodimyye i dostatochnyye usloviya znak-ustoichivosti matritc // Dokl. AN SSSR. 1982. T. 264, № 3. S. 542–546.
14. Abakumov A. I., Giricheva E. E. Mnogomodelny podkhod k issledovaniyu vodnykh ekosistem // Izv. Samar. nauch. tcentra RAN. 2009. T. 11, № 1 (7). S. 1399–1402.
15. Abakumov A. I., Pak S. Ya. Dinamika chislennosti fitoplanktona v zavisimosti ot mineralnogo pitaniya (matematicheskiye modeli) // Informatika i sistemy upravleniya. 2010. № 3 (25). S. 10–19.

Publication information
Main title Vestnik NSU Series: Information Technologies, Volume 10, Issue No 1 (2012).
Parallel title: Novosibirsk State University Journal of Information Technologies Volume 10, Issue No 1 (2012).

Key title: Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriâ: Informacionnye tehnologii
Abbreviated key title: Vestn. Novosib. Gos. Univ., Ser.: Inf. Tehnol.
Variant title: Vestnik NGU. Seriâ: Informacionnye tehnologii

Year of Publication: 2012
ISSN: 1818-7900 (Print), ISSN 2410-0420 (Online)
Publisher: Novosibirsk State University Press
DSpace handle


|Home Page| |All Issues| |Information for Authors| |Journal Boards| |Ethical principles| |Editorial Policy| |Contact Information| |Old Site in Russian|

inftech@vestnik.nsu.ru
© 2006-2017, Novosibirsk State University.