Modelos matemáticos para el control de epidemias por aislamiento

Abstract

This research analyzes theoretically a model for disease control via isolation. Firstly, the equations and the parameters of this model are studied. Later, the equilibrium is looked into, turning out to two possible equilibrium. The first of them is the epidemic equilibrium and the second one is the endemic equilibrium. We will focus on linear analysis. The epidemic case is studied in detail, providing not only the results, but also the demonstrations. Furthermore, in the endemic case, we will demonstrate the most relevant results. In both sets, we have carried out a simulation in function of the time that hosts are isolation. Moreover, fixing the probability to identify and infectious individual and the elapsed time between infection and identification.