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RAS MathematicsПрограммирование Programming and Computer Software

  • ISSN (Print) 0132-3474
  • ISSN (Online) 3034-5847

Constructing compartmental models of dynanic systems using a software package for symbolic computation in Julia

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PII
10.31857/S0132347424020051-1
DOI
10.31857/S0132347424020051
Publication type
Article
Status
Published
Authors
A. V. Demidova
  • Affiliation: RUDN University
O. V. Druzhinina
  • Affiliation: Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
O. N. Masina
  • Affiliation: Bunin Yelets State University
A. A. Petrov
  • Affiliation: Bunin Yelets State University
Volume/ Edition
Volume / Issue number 2
Pages
33-44
Abstract
This paper considers the problem of constructing compartmental models of dynamic systems by using a software package for symbolic calculation written in Julia. The software package is aimed at unifying the formalized construction of compartmental models, taking into account the meaningful description of possible interactions among compartments and the influence of various factors on the evolution of systems. An approach to the development of the instrumental and methodological basis for modeling the dynamic systems the behavior of which can be described by one-step processes is developed. The proposed software package enables the symbolic representation of the differential equations of the model in both stochastic and deterministic cases. It is implemented in Julia and uses the Julia Symbolics computer algebra library. A comparison between the Julia Symbolics tools and some other computer algebra systems is carried out. The application of the developed software package to a compartmental model is considered. The results can be used to solve problems of constructing and studying dynamic models in natural sciences that are represented by onestep processes.
Keywords
компартментальные модели динамические системы компьютерная алгебра язык программирования Julia программный комплекс символьных вычислений
Date of publication
17.09.2025
Year of publication
2025
Number of purchasers
0
Views
16

References

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