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

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.