Article
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The Role of Photosynthesis Processes in Dynamics of Plant Community
Version 1
: Received: 8 June 2023 / Approved: 8 June 2023 / Online: 8 June 2023 (08:00:38 CEST)
A peer-reviewed article of this Preprint also exists.
Abakumov, A.; Pak, S. Role of Photosynthesis Processes in the Dynamics of the Plant Community. Mathematics 2023, 11, 2924. Abakumov, A.; Pak, S. Role of Photosynthesis Processes in the Dynamics of the Plant Community. Mathematics 2023, 11, 2924.
Abstract
The dynamics of the main photosynthetic structures is studied by mathematical modeling methods in this article. Chlorophyll portion variability in phytoplankton and the formation of energy-intensive substances in the process of photosynthesis underlie the models. These cellular components are considered in terms of their participation in the growth of specific biomass. Computational experiments are presented that simulate various degrees of environmental friendliness. The corresponding functions are built in accordance with seasonal fluctuations throughout the year in the Far East region of Russia. The stability of model solutions in long-term dynamics is also investigated. The models were tested for biological adequacy and their effectiveness was compared. For the model selected as a result of the comparison, the optimal control problem has been formulated and solved. It is shown that in this way it is possible to reduce the space of the initial components of the model system.
Keywords
Mathematical model; differential equations; phytoplankton; photosynthesis; chlorophyll; optimal control problem
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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