Implementação computacional e aplicações em dinâmica populacional do princípio de extensão de Zadeh

Abstract

In this work, we presente a computational methodology that allows applying the extension principle to the logistic equation, more precisely the Verhulst equation. This methodology is used to allow the inclusion of uncertainty (parameters fuzzy) to mathematical models studied by classical theory. The population growth models depends of degree subjectivity when we need to estimate values for the rate of growth and / or carrying capacity. To apply the extension principle, we have used the technique of inverse function, and the solution is performed analytically. To apply this methodology, were used the data of Sorocaba city, and compared with the results of ROVEDA, (2009), the population projection of Lavras city, with data obtained from IBGE and a comparative study on the bovine growth in Brazil comparing with FREITAS, et al. (2005) data.