THE ROLE OF MATHEMATICAL MODELING IN DIGITAL ECONOMY DEVELOPMENT

Abstract

This article analyzes the role and importance of mathematical modeling in the development of the digital economy. In modern economic systems, where digital technologies and data-driven processes are rapidly expanding, mathematical models play a crucial role in understanding, analyzing, and predicting complex economic phenomena. Mathematical modeling allows researchers to represent real economic processes in the form of mathematical relationships, making it possible to study the interaction between different economic factors.

The paper examines the theoretical foundations of mathematical modeling and its methodological principles in economic analysis. Particular attention is given to the use of mathematical models for forecasting economic trends, optimizing decision-making processes, and improving the efficiency of digital economic systems. The study also discusses how mathematical methods help simplify complex economic structures while preserving their essential characteristics.

Furthermore, the article highlights the practical applications of mathematical modeling in various areas of the digital economy, including financial technologies, data analysis, and algorithm-based economic management. Simple mathematical expressions are presented to illustrate how economic processes can be described quantitatively and analyzed using mathematical tools.

The results of the study show that mathematical modeling is an effective scientific instrument for analyzing economic systems and supporting strategic decision-making in the digital environment. The integration of mathematical methods with modern digital technologies contributes to the improvement of economic forecasting, optimization of resources, and sustainable development of economic systems.