bachelorThesis
Modelos matemáticas aplicados à dinâmica de populações
Fecha
2018-12-10Registro en:
PAULINO, Giuliana Raquel Buzato. Modelos matemáticas aplicados à dinâmica de populações. 2018. 35 f. Trabalho de Conclusão de Curso (Licenciatura em Matemática) - Universidade Tecnológica Federal do Paraná, Curitiba, 2018.
Autor
Paulino, Giuliana Raquel Buzato
Resumen
This work presents an application of differential equations to population dynamics. Presenting a review of some of the major literature models such as the Malthus who was the first to precede mathematical tools to estimate world population growth in 1798. Years after Verhurst in 1837, develop a model based on Malthus, growth rate of so that a trend tended to stability. Other types of logistic research from Verhurst will be cited for the growth of isolated communities. When the rules are interdisciplinary result in systems of differential equations, these models contemplate situations of conviviality that vary in a simulated way, pass through intraspecific competition or even the famous face-to-face model of Lotka-Volterra. Other occurrences of coexistence of populations that are analyzed are like a population subject to a free growth, with an interference of a control problem that affects an initial population.