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JOURNALS // Mathematical Education // Archive

Math. Ed., 2021 Issue 1(97), Pages 31–37 (Mi mo739)

Students and teachers of mathematical specialties

“Matryoshkas” and stability in environmental models

V. G. Ilichev

Southern Research Center of the Russian Academy of Sciences, Rostov-on-Don

Abstract: The article studies the stability of equilibrium positions for a number of discrete dynamical systems, mathematical models of some ecological phenomena (isolated population, migration, competition). The research method is based on the construction of the so-called “matryoshka”, a family of nested “segments” in the phase space, which are determined by a specially selected order relation.

UDC: 51-76



© Steklov Math. Inst. of RAS, 2026