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Abakumov, Alexander Ivanovich
Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25

Number of views:
This page:2682
Abstract pages:6331
Full texts:2566
References:794
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 03.00.02 (Biophysics)
E-mail:
Website: https://www.famous-scientists.ru/2/
Keywords: mathematical modeling; dynamical systems; differential equations; ecologycal systems; methods of optimization; optimal control.
   
Main publications:
  • Abakumov A. I. Optimalnyi sbor urozhaya v modelyakh populyatsii // Obozrenie prikladnoi i promyshlennoi matematiki. M.: Nauch.izd-vo TVP. 1994. T. 1, vyp. 6. S. 834–849.
  • Abakumov A. I. Optimalnyi sbor urozhaya v populyatsiyakh (modeli s nepreryvnym vremenem) // Matematicheskoe modelirovanie. 1993. T. 5. # 11. C. 41–52.
  • Abakumov A. I. Modelirovanie soobschestv s uchetom neopredelennosti dannykh // Sibirskii ekologicheskii zhurnal. 2001. # 5. S. 559–563.
  • Abakumov A. I. Matematicheskoe modelirovanie populyatsionnoi dinamiki s uchetom adaptivnogo povedeniya osobei // Zhurnal obschei biologii. 2000. T. 61. # 2. S. 145–156.
  • Abakumov A. I. Upravlenie i optimizatsiya v modelyakh ekspluatiruemykh populyatsii. Vladivostok: Dalnauka, 1993. 129 s.

https://www.mathnet.ru/eng/person17839
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/289649

Publications in Math-Net.Ru Citations
2023
1. A. I. Abakumov, I. S. Kozitskaya, “Mathematical model of phytoplankton interspecific competition for food resource”, Mat. Biolog. Bioinform., 18:2 (2023),  568–579  mathnet
2022
2. A. I. Abakumov, S. Ya. Pak, “Two approaches to modeling phytoplankton biomass dynamics based on the Droop model”, Mat. Biolog. Bioinform., 17:2 (2022),  401–422  mathnet  elib 1
2021
3. A. I. Abakumov, Yu. G. Izrailsky, “Models of phytoplankton distribution over chlorophyll in various habitat conditions. Estimation of aquatic ecosystem bioproductivity”, Computer Research and Modeling, 13:6 (2021),  1177–1190  mathnet 3
4. A. I. Abakumov, S. Ya. Pak, “Modeling of photosynthesis process and assessing of phytoplankton dynamics based on Droop model”, Mat. Biolog. Bioinform., 16:2 (2021),  380–393  mathnet  elib 3
2020
5. A. A. Yakovlev, A. I. Abakumov, A. V. Kostyushko, E. V. Markelova, “Cytokines as indicators of the state of the organism in infectious diseases. Experimental data analysis”, Computer Research and Modeling, 12:6 (2020),  1409–1426  mathnet
6. G. P. Neverova, O. L. Zhdanova, A. I. Abakumov, “Discrete-time model of seasonal plankton bloom”, Mat. Biolog. Bioinform., 15:2 (2020),  235–250  mathnet 6
2019
7. G. P. Neverova, O. L. Zhdanova, E. A. Kolbina, A. I. Abakumov, “A plankton community: a zooplankton effect in phytoplankton dynamics”, Computer Research and Modeling, 11:4 (2019),  751–768  mathnet 5
2017
8. E. E. Giricheva, A. I. Abakumov, “Spatiotemporal dynamics and the principle of competitive exclusion in community”, Computer Research and Modeling, 9:5 (2017),  815–824  mathnet 1
9. A. I. Abakumov, Yu. G. Izrailsky, “The stabilizing role of fish population structure under the influence of fishery and random environment variations”, Computer Research and Modeling, 9:4 (2017),  609–620  mathnet 4
10. G. P. Neverova, A. I. Abakumov, E. Ya. Frisman, “Dynamic modes of limited structured population under age specific harvest”, Mat. Biolog. Bioinform., 12:2 (2017),  327–342  mathnet 10
2016
11. A. I. Abakumov, Yu. G. Izrailsky, “The harvesting effect on a fish population”, Mat. Biolog. Bioinform., 11:2 (2016),  191–204  mathnet 15
12. G. P. Neverova, A. I. Abakumov, E. Ya. Frisman, “Dynamic modes of exploited limited population: results of modeling and numerical study”, Mat. Biolog. Bioinform., 11:1 (2016),  1–13  mathnet 13
2015
13. A. I. Abakumov, Yu. G. Izrailsky, E. Ya. Frisman, “Complex plankton dynamics in a topographic eddy”, Mat. Biolog. Bioinform., 10:2 (2015),  416–426  mathnet 4
14. O. L. Zhdanova, A. I. Abakumov, “Modeling of the phytoplankton dynamics considering the mechanisms of ectocrine regulation”, Mat. Biolog. Bioinform., 10:1 (2015),  178–192  mathnet 3
15. N. S. Ivanko, A. I. Abakumov, “Fishery control problem with quotas”, UBS, 55 (2015),  224–238  mathnet  elib 1
2013
16. A. I. Abakumov, Yu. G. Izrailsky, “Model method of vertical chlorophyll concentration reconstruction from satellite data”, Computer Research and Modeling, 5:3 (2013),  473–482  mathnet 4
2012
17. A. I. Abakumov, Yu. G. Izrailsky, “Environment influence on the phytoplankton distribution in a basin”, Mat. Biolog. Bioinform., 7:1 (2012),  274–283  mathnet 7
2011
18. E. V. Pakht, A. I. Abakumov, “Uncertainty at modelling of a lake's ecosystem”, Mat. Biolog. Bioinform., 6:1 (2011),  102–114  mathnet 2
19. Alexander I. Abakumov, Oleg I. Iljin, Nina S. Ivanko, “Game problems of the harvesting for a biological community”, Mat. Teor. Igr Pril., 3:2 (2011),  3–17  mathnet; Autom. Remote Control, 77:4 (2016), 697–707 9
2003
20. A. I. Abakumov, E. E. Giricheva, “Modelling of dependence of regional population age structure on its income”, Dal'nevost. Mat. Zh., 4:2 (2003),  316–325  mathnet
21. A. I. Abakumov, T. A. Khoudzik, “Asymptotical properties of solutions in matrix models for dinamical system”, Dal'nevost. Mat. Zh., 4:1 (2003),  44–51  mathnet
2002
22. A. I. Abakumov, M. G. Kazakova, “Spatial model of species community”, Dal'nevost. Mat. Zh., 3:1 (2002),  102–107  mathnet 3
2000
23. A. I. Abakumov, “Indefinite of date on mathematical ecology”, Dal'nevost. Mat. Zh., 1:1 (2000),  38–42  mathnet 4
1993
24. A. I. Abakumov, “Populations optimal harvest (time continuous models)”, Matem. Mod., 5:11 (1993),  41–52  mathnet  mathscinet  zmath 2
1972
25. A. I. Abakumov, E. A. Palyutin, M. A. Taitslin, Yu. E. Shishmarev, “Categorial quasivarieties”, Algebra Logika, 11:1 (1972),  3–38  mathnet  mathscinet

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