Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/jspui/handle/123456789/12813
Title: Epidemic outbreaks on random Voronoi–Delaunay triangulations.
Authors: Alencar, D. S. M.
Alves, Tayroni Francisco de Alencar
Alves, Gladstone de Alencar
Macedo Filho, Antonio de
Ferreira, Ronan Silva
Keywords: Asynchronous SIR model
Epidemic models on lattices
Markovian Monte Carlo process
Finite size scaling
Issue Date: 2020
Citation: ALENCAR, D. S. M. et al. Epidemic outbreaks on random Voronoi–Delaunay triangulations. Physica A: Statistical Mechanics and its Applications, v. 541, mar. 2020. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437119315882>. Acesso em: 10 mar. 2020.
Abstract: We study epidemic outbreaks on random Delaunay triangulations by applying the Asynchronous SIR (susceptible–infected–removed) dynamics coupled to two-dimensional Voronoi–Delaunay triangulations. In order to investigate the critical behavior of the model, we obtain the cluster size distribution by using Newman–Ziff algorithm, allowing to simulate random inhomogeneous lattices and measure any desired observable related to percolation. We numerically calculate the order parameter, defined as the wrapping cluster density, the mean cluster size, and Binder cumulant ratio defined for percolation in order to estimate the epidemic threshold. Our findings suggest that the system falls into two-dimensional dynamic percolation universality class and the quenched random disorder is irrelevant, in agreement with results for classical percolation.
URI: http://www.repositorio.ufop.br/handle/123456789/12813
metadata.dc.identifier.uri2: https://www.sciencedirect.com/science/article/abs/pii/S0378437119315882?via%3Dihub#!
metadata.dc.identifier.doi: https://doi.org/10.1016/j.physa.2019.122800
ISSN: 0378-4371
Appears in Collections:DECEA - Artigos publicados em periódicos

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