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

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

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Article ID: iaor20131912
Volume: 74
Issue: 2
Start Page Number: 240
End Page Number: 251
Publication Date: Feb 2013
Journal: Automation and Remote Control
Authors: ,
Keywords: simulation, ecology
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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