title: Critical behavior of the susceptible-infected-recovered model on a square lattice.
abstract: By means of numerical simulations and epidemic analysis, the transition point of the stochastic asynchronous susceptible-infected-recovered model on a square lattice is found to be c0=0.1765005(10), where c is the probability a chosen infected site spontaneously recovers rather than tries to infect one neighbor. This point corresponds to an infection/recovery rate of λ(c)=(1-c0)/c0=4.665 71(3) and a net transmissibility of (1-c0)/(1+3c0)=0.538 410(2), which falls between the rigorous bounds of the site and bond thresholds. The critical behavior of the model is consistent with the two-dimensional percolation universality class, but local growth probabilities differ from those of dynamic percolation cluster growth, as is demonstrated explicitly.
authors.affiliation: Instituto de Física, Universidade de São Paulo, CP 66138, 05315-970 São Paulo, SP, Brazil.
authors.forename: Tânia
authors.initials: T
authors.lastname: Tomé
authors.forename: Robert M
authors.initials: RM
authors.lastname: Ziff
mesh_terms: D016000:Cluster Analysis; D004198:Disease Susceptibility; D007239:Infections / Q000453:epidemiology* / Q000635:transmission; D008954:Models, Biological; D010539:Permeability; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors