Equilibria in epidemiology and in finance

In this thesis we focus our attention on two applications of mathematical modeling to epidemiology and finance. In particular, we want to model two real situations: the spread of anorexia and bulimia among society and a financial network. The choice to model these two phenomena is that we want to model them using two different techniques from a mathematical point of view. In both studied problems, we look for the equilibria of the model and we want to predict the future.