Study of structure stability in a mathematical model of four interacting groups
Abstract
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.
About the Authors
Anna Stanislavovna Adamchuk
North Caucasus Federal University
Russian Federation
Russian Federation
Stanislav Raufovich Amirokov
North Caucasus Federal University
Russian Federation
Russian Federation
Tatyana Konstantinovna Pritula
Company «Teploset»
Russian Federation
Russian Federation
References
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Review
For citations:
Adamchuk A.S., Amirokov S.R., Pritula T.K. Study of structure stability in a mathematical model of four interacting groups. Science. Innovations. Technologies. 2015;(2):7-14. (In Russ.)
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