masterThesis
Equações de diferenças na projeção de populações
Fecha
2016-12-09Registro en:
NOVAKI, Cristiane. Equações de diferenças na projeção de populações. 2017. 72 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Tecnológica Federal do Paraná, Curitiba, 2017.
Autor
Novaki, Cristiane
Resumen
The present work aims to show some aspects of linear differences equations with constant coefficients, some of their applications and some ways of solving them. The nonlinear differences equations were analyzed in a qualitative way, through their equilibrium points and stability analysis of these points. The difference equations are useful when working with discrete dynamic systems, in situations where the quantities change within each time interval. One of its applications is the study of population growth, and here, in particular, we will see the models developed by Malthus (geometric growth) and Verhulst (logistic growth). A comparative analysis will be carried out to verify if the Verhulst model fits the official data and how much it is able to follow the official projections.