Study of structure stability in a mathematical model of four interacting groups

We will discuss the problem of mathematical modeling of dynamic processes and structure change in a model with four interacting groups using a system of Walter's nonlinear differential equations. We will show that it is possible to find a stationary state with positive coordinates when all grou...

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Bibliographic Details
Main Authors: Anna Stanislavovna Adamchuk, Stanislav Raufovich Amirokov, Tatyana Konstantinovna Pritula
Format: Article
Language:Russian
Published: North-Caucasus Federal University 2022-09-01
Series:Наука. Инновации. Технологии
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Online Access:https://scienceit.elpub.ru/jour/article/view/389
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Summary:We will discuss the problem of mathematical modeling of dynamic processes and structure change in a model with four interacting groups using a system of Walter's nonlinear differential equations. We will show that it is possible to find a stationary state with positive coordinates when all groups exist. We will also suggest an algorithm and a program for finding the stationary state with non-zero coordinates and testing its stability in a mathematical model of dynamics between four interacting groups.
ISSN:2308-4758