Aplicação de equações diferenciais à dinâmica populacional de Minas Gerais e da região metropolitana de Belo Horizonte

Abstract

This work aims to show some of the applicability of Differential Equations of First Order in the specific dynamics calculation Population. Briefly was approached history of Differential Equations and its definition as well as the relevance of Mathematical Modeling. For this mathematicalmodeling, we used a mathematical model applied to two practical examples to predict the population of Minas Gerais and the metropolitan region of Belo Horizonte as a function of time. The data used to make the calculations were taken from the census done by the BrazilianInstitute of geographies and Statistics (IBGE) beginning in 1950 to 2000. After calculations were made comparisons with the findings of the last count made by IBGE in 2010 regarding the two regions.