MATHEMATICAL MODELING AND ANALYSIS OF POPULATION GROWTH USING DIFFERENTIAL EQUATIONS

This article examines the role of differential equations in the mathematical modeling of population growth processes. Exponential and logistic growth models are analyzed, and their practical applications are discussed. Using differential equations, the patterns of population change over time are investigated, and the effectiveness of mathematical modeling in demographic forecasting is substantiated. The obtained results can be used to assess future population trends and support socio-economic planning and decision-making processes.