A Discrete Approach of the Susceptible-Infectious-Susceptible (SIS) Model of Disease Expansion

Abstract: This paper presents a discrete model of the dynamics of infectious disease expansion and builds a link between two conceptually different approaches of the Susceptible-Infectious-Susceptible (SIS) model: the continuous one, depicted by traditional simulation of ordinary differential equations (ODE), and ours, based on both connectivity between individuals and a local binary rule. The connectivity fixes the possible contacts between people and the rule defines whether the contacts are infective or not. The population confines in a grid and contagion extends from the infected centre cell by applying the rule, following the connectivity pattern. Our model provides parameters to tune the rate at which susceptible hosts become infected and the rate at which infected hosts become susceptible. The model has been analyzed and successfully compared to the SIS deterministic compartmental model