A. V. Demidova, O. V. Druzhinina, O. N. Masina, A. A. Petrov
{"title":"Constructing Compartmental Models of Dynamic Systems Using a Software Package for Symbolic Computation in Julia","authors":"A. V. Demidova, O. V. Druzhinina, O. N. Masina, A. A. Petrov","doi":"10.1134/s0361768824020051","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>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 one-step processes.</p>","PeriodicalId":54555,"journal":{"name":"Programming and Computer Software","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Programming and Computer Software","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s0361768824020051","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 0
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 one-step processes.
摘要 本文探讨了使用 Julia 编写的符号计算软件包构建动态系统分区模型的问题。该软件包旨在统一分区模型的形式化构建，同时考虑到分区之间可能的相互作用以及各种因素对系统演化的影响的有意义描述。开发了一种方法，为动态系统建模提供工具和方法论基础，这些系统的行为可以用一步过程来描述。所提出的软件包能够在随机和确定两种情况下用符号表示模型的微分方程。该软件包采用 Julia 实现，并使用 Julia Symbolics 计算机代数库。对 Julia Symbolics 工具和其他一些计算机代数系统进行了比较。考虑了将开发的软件包应用于分室模型的问题。其结果可用于解决构建和研究自然科学中由一步过程表示的动态模型的问题。
期刊介绍：
Programming and Computer Software is a peer reviewed journal devoted to problems in all areas of computer science: operating systems, compiler technology, software engineering, artificial intelligence, etc.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
