Finite-size scaling of the stochastic susceptible-infected-recovered model

Abstract

The critical behavior of the stochastic susceptible-infected-recovered model on a square lattice is obtained by numerical simulations and finite-size scaling. The order parameter as well as the distribution in the number of recovered individuals is determined as a function of the infection rate for several values of the system size. The analysis around criticality is obtained by exploring the close relationship between the present model and standard percolation theory. The quantity UP, equal to the ratio U between the second moment and the squared first moment of the size distribution multiplied by the order parameter P, is shown to have, for a square system, a universal value 1.0167(1) that is the same as for site and bond percolation, confirming further that the SIR model is also in the percolation class.

References in corpus (4)

• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Pseudorandom Number Generators and the Square Site Percolation Threshold
• Spreading with immunization in high dimensions
• Surface and bulk criticality in midpoint percolation

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• A branching random-walk model of disease outbreaks and the percolation backbone
• A non-absorbing SIR stochastic lattice gas model on hybrid lattices
• Critical behavior of the stochastic SIR model on random bond-diluted lattices
• Effects of lattice dilution on the non-equilibrium phase transition in the stochastic Susceptible-Infectious-Recovered model