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Condensed Matter > Statistical Mechanics
Title: A non-absorbing SIR stochastic lattice gas model on hybrid lattices
(Submitted on 3 Oct 2021 (v1), last revised 30 Nov 2021 (this version, v2))
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.
Submission history
From: Carlos Handrey A. Ferraz [view email][v1] Sun, 3 Oct 2021 17:49:19 GMT (928kb)
[v2] Tue, 30 Nov 2021 16:57:43 GMT (1021kb)
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