Mathematical modeling of nonlinear effects in dynamic of interacting plankton and fish populations of Azov Sea
Alexander Ivanovich Sukhinov,
Valentina Vladimirovna Sidoryakina,
Alla Valeryevna Nikitina,
Alexander Evgenievich Chistyakov,
Alena Aleksandrovna Filina,
Vladimir Nikolaevich Litvinov https://doi.org/10.23947/2587-8999-2019-2-2-83-103
Abstract
Paper covers the research of nonlinear effects in population dynamics of the pelengas commercial fish of the Azov Sea at low and high size taking into account the Allee effect, competition for resources, taxis, catching, spatial distribution of biogenic matter and detritus based on a multi-species model of plankton and fish interaction. Discrete analogue of developed model problem of water ecology, included in a software complex, were calculated using schemes of second order of accuracy taking into account the partial filling of computational cells. The system of grid equations of large dimension, arising at discretization, has been solved on the basis of a two-layer variational type method – the minimum corrections method having the maximum convergence rate. Effective parallel algorithms were developed for numerical implementation of biological kinetics problem and oriented on NVIDIA Tesla K80 graphics accelerator with the data storage format modification. Due to it, the reproduction processes of biogeocenose populations have been analyzed in real and accelerated time.
About the Authors
Alexander Ivanovich Sukhinov
Don State Technical University
(1st Gagarin Square, Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Sukhinov Alexander Ivanovich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Professor
Valentina Vladimirovna Sidoryakina
Taganrog Institute of A.P. Chekhov (branch) RSUE
(Initiative Street, Taganrog, Russian Federation)
Russian Federation
Russian Federation
Sidoryakina Valentina Vladimirovna, Taganrog Institute of A.P. Chekhov (branch) RSUE (Initiative Street, Taganrog, Russian Federation), Candidate of Science in Physics and Maths, Associate professor
Alla Valeryevna Nikitina
Southern Federal University
(Chekhov str., 2, Taganrog, Russian Federation)
Russian Federation
Russian Federation
Nikitina Alla Valeryevna, Southern Federal University (Chekhov str., 2, Taganrog, Russian Federation), Doctor of Technical Science, Associate professor
Alexander Evgenievich Chistyakov
Don State Technical University
(1st Gagarin Square, Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Chistyakov Alexander Evgenievich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Associate professor
Alena Aleksandrovna Filina
Supercomputers and Neurocomputers Research Center, Co Ltd.
(Italyansky lane, 106, Taganrog, Russian Federation)
Russian Federation
Russian Federation
Filina Alena Aleksandrovna, Supercomputers and Neurocomputers Research Center, Co Ltd. (Italyansky lane, 106, Taganrog, Russian Federation), Candidate of Technical Science, Researcher
Vladimir Nikolaevich Litvinov
Azov-Black Sea Engineering Institute of FSBEI HE Don State Agrarian University
(21 Lenin st., Zernograd, Russian Federation)
Russian Federation
Russian Federation
Litvinov Vladimir Nikolaevich, Azov-Black Sea Engineering Institute of FSBEI HE Don State Agrarian University (21 Lenin st., Zernograd, Russian Federation), Candidate of Technical Sciences, Head of the Thermal Engineering and Information Management Systems department
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Review
For citations:
Sukhinov A.I., Sidoryakina V.V., Nikitina A.V., Chistyakov A.E., Filina A.A., Litvinov V.N. Mathematical modeling of nonlinear effects in dynamic of interacting plankton and fish populations of Azov Sea. Computational Mathematics and Information Technologies. 2019;3(2). https://doi.org/10.23947/2587-8999-2019-2-2-83-103
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