VISUALIZATION OF LEONTIEV’S MATHEMATICAL MODEL ON THE DJANGO WEBSITE

Abstract

The purpose of the work is to demonstrate a site created to visualize the processes of inter-industry connections according to Leontiev’s model. Since the time of Newton, the basis of a scientific answer to real, not entirely simple problems has always been the construction of a mathematical model, that is, a mathematical theory that describes some objects or processes of the real world. As a rule, a software implementation of this model is then built, with the help of which the results of this theory are numerically obtained.The correctness of the results of the theory must be verified experimentally. The analysis of economic processes and the adoption of appropriate decisions, the study of appropriate models in educational courses on mathematical modeling are always significantly improved by their visualization. And it is precisely such visualization that was implemented for the Leontiev’s model. In our case, the mathematical model is a mathematical problem from matrix algebra, to the solution of which this economic problem can be reduced thanks to the research of the American economist V. Leontiev. As a result of its solution, we get not only the numerical values of the characteristics, but also estimates of the profitability and profitability of the sectors of the economy and the opportunity to review their factors in detail. The development of the site is based on the Python framework for the development of Django web systems. It is a high-level Python web framework that opens up the possibility of creating well-secured websites and maintaining them, it takes care of most of the web development.Django provides developers with literally everything they need to develop a website from scratch – this is its core philosophy. To obtain data in the form of matrix table calculations and display graphs, the corresponding Python libraries NumPy and Chart.js were used. Other traditional web development tools were also used when creating the site: HTML (bootstrap), CSS, JavaScript (jQuery).This site was used in teaching the courses “Mathematical Modeling of Processes and Phenomena”, “Modeling of Economic Processes” and “Economic and mathematical methods and models” at Kherson State University and Kherson National Technical University.