Estudio de las curvas de contagio generadas por el modelo epidemiológico SIR sobre una Red Compleja.

Abstract

Being able to study the behavior of an infectious disease within a population has been of vital importance, especially in recent years. For this reason, and For many decades now, attempts have been made to develop epidemiological models to study the dynamics of disease transmission. For example, him SIR compartmental model, which divides the population according to their health status: Susceptible, Infected and Recovered. However, these models have unrealistic assumption that each pair of individuals is in permanent contact with each other, that is, it is considered a perfectly mixed population. This project seeks study the contagion curves generated by the SIR model when considering a perfectly mixed population and one that is not. For this, we consider the contacts between individuals in the population as a complex network and evaluate the dynamics of the disease on her. Using a slightly stochastic algorithm modified (Gillespie's algorithm), it is possible to verify that for the study of spread of diseases, the means of contagion must be considered, since the The dynamics of an epidemic depends on the structure of contacts between each pair of individuals of a population.