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 λc=(1-c0)/c0=4.66571(3) and a net transmissibility of (1-c0)/(1+3c0)=0.538410(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.
- Publication:
-
Physical Review E
- Pub Date:
- November 2010
- DOI:
- 10.1103/PhysRevE.82.051921
- arXiv:
- arXiv:1006.2129
- Bibcode:
- 2010PhRvE..82e1921T
- Keywords:
-
- 87.10.Mn;
- 02.50.Ey;
- 64.60.ah;
- Stochastic modeling;
- Stochastic processes;
- Percolation;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics;
- Physics - Biological Physics
- E-Print:
- 9 pages, 5 figures. Accepted for publication, Physical Review E