Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D

C. Argolo, Yan Quintino, Iram Gleria and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 8, 1433-1439

Abstract: We investigate the critical behavior of a stochastic lattice model describing a General Epidemic Process. By means of a Monte Carlo procedure, we simulate the model on a regular square lattice and follow the spreading of an epidemic process with immunization. A finite size scaling analysis is employed to determine the critical point as well as some critical exponents. We show that the usual scaling analysis of the order parameter moment ratio does not provide an accurate estimate of the critical point. Precise estimates of the critical quantities are obtained from data of the order parameter variation rate and its fluctuations. Our numerical results corroborate that this model belongs to the dynamic isotropic percolation universality class. We also check the validity of the hyperscaling relation and present data collapse curves which reinforce the accuracy of the estimated critical parameters.

Keywords: Critical behavior; Monte Carlo; General epidemic process (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:8:p:1433-1439

DOI: 10.1016/j.physa.2010.12.012

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