Droplet finite-size scaling theory of asynchronous SIR model on quenched scale-free networks

D.S.M. Alencar, T.F.A. Alves, R.S. Ferreira, F.W.S. Lima, G.A. Alves and A. Macedo-Filho

Physica A: Statistical Mechanics and its Applications, 2023, vol. 626, issue C

Abstract: We present a finite-size scaling theory of the asynchronous susceptible–infected–removed model on scale-free networks, which models epidemic outbreaks and gives a non-vanishing critical threshold. The susceptible–infected–removed model can be mapped in a bond percolation process, as stressed by P. Grassberger, allowing us to compare the critical behavior of site and bond universality classes on networks. We employ a droplet heterogeneous mean-field theory, adding the effect of an external field defined as the initial number of infected individuals. One can choose the external field scaling as N−1, where N is the number of network nodes, and compare theoretical results with simulations on the uncorrelated model and Barabasi–Albert networks. The system presents a percolating phase transition where the critical behavior obeys the mean-field universality class, as we show theoretically and by extensive simulations.

Keywords: Uncorrelated configuration model; Epidemic processes; Dynamical percolation; Continuous phase transition; Logarithmic corrections; External field (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:626:y:2023:i:c:s037843712300657x

DOI: 10.1016/j.physa.2023.129102

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