Modelagem matemática aplicada ao crescimento populacional e uma atividade econômica (avicultura) da cidade de Marechal Cândido Rondon / PR

Abstract

In this work, a study is carried out on the population growth of the city of Marechal Cândido Rondon - PR over time and the weight gain of birds from a poultry farm in the same city. The models used were Malthus, Verhust, Montroll and Gompertz for population growth and models by Montroll and Gompertz for weight gain in birds. The work started with a study about Mathematical Modeling, Poultry Breeding, Curve adjustment and Differentials Equations, later the Mathematical Models were studied. For the application of models, population data were taken from the city of Marechal Cândido Rondon in the official website of the Brazilan Institute of Geography and Statistics (IBGE), while data from the weight gain of the birds were obtained in a poultry farm in the city. Therefore, they were computational simulations were carried out reffering to the selected models and a comparison of the data obtained with a real data, and after that, a statistical analysis was carried out to detect wich model is best suited for each of the problems. Trough these methods, it could be conclued that best suits population growth was the Verhust Model, with a relative error of 2,1%, as for weight gain in birds, the model appropriate was that of Montroll, with a relative error of 111,91%.