Um Estudo sobre alguns Modelos de Crescimento Populacional e Algumas de suas Aplicações

Abstract

Ordinary Differential Equations are often used to solve everyday problems, explain the data

of realistic phenomena. The objective of this monograph is to highlight the importance of

Mathematics, essentially the Ordinary Differential Equations, presenting its application in the

population growth of a chosen population. During the work, we used definitions and theorems

in relation to the classification of Differential Equations, solution of an Ordinary Differential

Equation and the Initial Value Problem, which we deem necessary, through the Malthus Model

and the Verhulst Model, to express and analyze applications in today's problems. Finally, we

will carry out data simulations, such as the projection of the effective growth of the cattle herd

(heads) in Brazil and the projection of the population growth perspective in South America, in

order to analyze whether the data obtained are consistent with the real ones.

Keywords: Mathematical Modeling. Population growth. Ordinary Differential Equations.

Malthus model. Verhulst model.