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A complex mathematical modeling method for biological objects. Modeling the tundra community

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Abstract

We consider a method for mathematical modeling of ecologo-biological systems based on computational studies that unites formal and informal, analytic and imitational approaches. The method is based on complex studies that include a complete set of operations, from filtering biological information to constructing a set of interrelated models, including simplified ones, that admit an analytic (parametric) study. This lets us overcome the disadvantages of purely imitational approaches: they are restricted by numerical experiments and often have huge models. The proposed approach has been used to analyze animal population fluctuations with the tundra community model “vegetation-lemmings-arctic foxes.” As a result of our studies, we formulate hypotheses on leading mechanisms that determine the fluctuations of tundra animal populations.

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Authors and Affiliations

  1. Vyatka State University, Vyatka, Russia

    V. N. Glushkov

  2. Dorodnicyn Computing Centre, Russian Academy of Sciences, Moscow, Russia

    D. A. Sarancha

Authors
  1. V. N. Glushkov
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  2. D. A. Sarancha
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Original Russian Text © V.N. Glushkov, D.A. Sarancha, 2013, published in Avtomatika i Telemekhanika, 2013, No. 2, pp. 94–108.

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Glushkov, V.N., Sarancha, D.A. A complex mathematical modeling method for biological objects. Modeling the tundra community. Autom Remote Control 74, 240–251 (2013). https://doi.org/10.1134/S0005117913020069

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