Geodesic
“Matryoshkas” and stability in environmental models
Matematičeskoe obrazovanie, no. 1 (2021), pp. 31-37 
V. G. Ilichev. “Matryoshkas” and stability in environmental models. Matematičeskoe obrazovanie, no. 1 (2021), pp. 31-37. http://geodesic.mathdoc.fr/item/MO_2021_1_a5/
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     author = {V. G. Ilichev},
     title = {{\textquotedblleft}Matryoshkas{\textquotedblright} and stability in environmental models},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {31--37},
     year = {2021},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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