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arXiv · 2110.01054

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

Carlos Handrey Araujo Ferraz
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Abstract

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 and the size distribution of non-percolating clusters of recovered individuals was carried out to determine the universality class of the model.

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Carlos Handrey Araujo Ferraz. 2021-10-03. A non-absorbing SIR stochastic lattice gas model on hybrid lattices. https://doi.org/10.1016/j.physleta.2021.127871

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