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 (14)

• The spread of epidemic disease on networks
• Critical Phenomena and Renormalization-Group Theory
• A fast Monte Carlo algorithm for site or bond percolation
• Precise determination of the bond percolation thresholds and finite-size scaling corrections for the s.c., f.c.c., and b.c.c. lattices
• Stochastic Lattice Gas Model for a Predator-Prey System
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Stochastic lattice gas model describing the dynamics of an epidemic
• On the critical behavior of a lattice prey-predator model
• Pseudorandom Number Generators and the Square Site Percolation Threshold
• Epidemic spreading with immunization and mutations
• Threshold of coexistence and critical behavior of a predator-prey cellular automaton
• Spreading with immunization in high dimensions
• Discontinuous nonequilibrium phase transitions in a nonlinearly pulse-coupled excitable lattice model
• Surface and bulk criticality in midpoint percolation

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• Sudden spreading of infections in an epidemic model with a finite seed fraction
• Critical properties of the susceptible-exposed-infected model on a square lattice
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Critical behavior of the diffusive susceptible-infected-recovered model
• Recursive contact tracing in Reed-Frost epidemic models
• A non-absorbing SIR stochastic lattice gas model on hybrid lattices
• A branching random-walk model of disease outbreaks and the percolation backbone
• Stochastic epidemic-type model with enhanced connectivity: exact solution
• 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