Результаты поиска по 'mathematical modeling of an aquatic community':
Найдено статей: 2
  1. <span class="authors3">Rusakov A.V., span> <span class="authors3">Bobyrev A.E., span> <span class="authors3">Burmensky V.A., span> <span class="authors3">Kriksunov E.A., span> <span class="authors3">Nurieva N.I., span> <span class="authors3">Medvinsky A.B.span>
    An integer-valued mathematical model of lake communities: Chaotic and long-period oscillations in the fish population size
    Computer Research and Modeling, 2016, v. 8, no. 2, pp. 229-239

    We present the results of a mathematical model for the aquatic communities which include zooplankton, planktivorous fish and predator fish. The aquatic populations are considered to be body mass- and agestructured, while the trophic relations between the populations to be correspondingly status-specific. The model reproduces diverse dynamic regimes as such steady states and oscillations in the population size. Oscillations in the fish population size are shown to be both regular and irregular. We show that the period of the regular oscillations can be up to decades. The irregular oscillations are shown to be both chaotic and non-chaotic. Analyzing the dynamics in the model parameter space has enabled us to conclude that predictability of fish population dynamics can face difficulties both due to dynamical chaos and to the competition between various dynamical regimes caused by variations in the model parameters, specifically in the zooplankton growth rate.

    Keywords: mathematical modeling of an aquatic community, integer-based mathematical modeling, long-period oscillations, chaos.
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  2. <span class="authors3">Pak S.Y., span> <span class="authors3">Abakumov A.I.span>
    Model study of gas exchange processes in phytoplankton under the influence of photosynthetic processes and metabolism
    Computer Research and Modeling, 2025, v. 17, no. 5, pp. 963-985

    The dynamics of various gaseous substances is of great importance in the vital activity of phytoplankton. The dynamics of oxygen and carbon dioxide are the most indicative for aquatic plant communities. These dynamics are important for the global ratio of oxygen and carbon dioxide in the Earth’s atmosphere. The goal of the work is to use the mathematical modeling to study the role of oxygen and carbon dioxide in the life of aquatic plant organisms, in particular, the phytoplankton. The series of mathematical models of the dynamics of oxygen and carbon dioxide in the phytoplankton body are proposed. The series of models are built according to the increasing degree of complexity and the number of modeled processes. At first, the simplest model of only gas dynamics is considered, then there is a transition to models with the interaction and mutual influence of gases on the formation and dynamics of energy-intensive substances and on growth processes in the plant organism. Photosynthesis and respiration are considered as the basis of the models. The models study the properties of solutions: equilibrium solutions and their stability, dynamic properties of solutions. Various types of equilibrium stability, possible complex non-linear dynamics have been identified. These properties allow better orientation when choosing a model to describe processes with a known set of data and formulated modeling goals. An example of comparing an experiment with its model description is given. The next goal of modeling — to link gas dynamics for oxygen and carbon dioxide with metabolic processes in plant organisms. In the future, model designs will be applied to the analysis of ecosystem behavior when the habitat changes, including the content of gaseous substances.

    Keywords: oxygen, carbon dioxide, photosynthesis, respiration, phytoplankton, model.

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