Uma abordagem por meio da teoria dos jogos de um modelo em ecologia matemática

Abstract

In this work an alternate approach is proposed to deal with a quite worrying question in ecology, namely, how can we cope with pests that endanger a soy crop located in a fixed geographical environment. The theoretical tool chosen to be employed is Game Theory. The strategy thus developed leads to the coupling of discrete and continuum mathematics, as long as the so-called Lotka-Volterra equations compose the model the study lies on. These equations, associated to predator-prey simulation, bear a too high equilibrium point when parameters associated to real situations are taken. Optimum control theory is thus usually employed, but this turns out to be a rather sophisticated technique. The scheme presented here is simpler, which makes possible its larger dissemination, as long as a practical implementation is completed. The present multidisciplinary research was conducted with data collected from reports made available by EMBRAPA, the Brazilian Enterprise for Agricultural Research.