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Title: Epidemic outbreaks on two-dimensional quasiperiodic lattices.
Authors: Santos, G. B. 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
Voronoi-Delaunay triangulation
Markovian Monte Carlo process
Finite size scaling
Issue Date: 2020
Citation: SANTOS, G. B. M. et al. Epidemic outbreaks on two-dimensional quasiperiodic lattices. Physics Letters A, v. 384, n. 2, jan. 2020. Disponível em: <>. Acesso em: 10 mar. 2020.
Abstract: We present a novel kinetic Monte Carlo technique to study the susceptible-infected-removed model in order to simulate epidemic outbreaks on two quasiperiodic lattices, namely, Penrose and Ammann-Beenker. Our analysis around criticality is performed by investigating the order parameter, which is defined as the probability of growing a spanning cluster formed by removed sites, evolving from an initial system configuration with a single random chosen infective site. This system is studied by means of the cluster size distribution, obtained by the Newman-Ziff algorithm. Additionally, we obtained the mean cluster size, and a cumulant ratio to estimate the epidemic threshold. In spite of the quasiperiodic order moves the transition point, compared to periodic lattices, this is not able to alter the universality class of the model, leading to the same critical exponents. In addition, our technique can be generalized to study epidemic outbreaks in networks and diffusing populations.
ISSN: 0375-9601
Appears in Collections:DECEA - Artigos publicados em periódicos

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