A non-absorbing SIR stochastic lattice gas model on hybrid lattices

Ferraz, Carlos Handrey Araujo

In this paper, we perform Monte Carlo calculations to study the critical behavior of the spread of infectious diseases through a novel approach to the SIR epidemiological model. A stochastic lattice gas version of the model was applied on hybrid lattices which, in turn, are generated from typical square lattices when inserting a connection probability p that a given lattice site has both first- and second-nearest-neighbor interactions. By combining percolation theory and finite-size scaling analysis, we estimate both the critical threshold and leading critical exponent ratios of the non-absorbing SIR model in different cases of hybrid lattices. An analysis of the average size of the percolating cluster of recovered individuals, as well as the size distribution of non-percolating clusters, was carried out to determine the universality class of the model.