Critical properties of the susceptible-exposed-infected model on a square lattice

TL;DR

This paper investigates the critical behavior of a stochastic susceptible-exposed-infected model on a square lattice, demonstrating its universality class aligns with dynamic percolation through numerical simulations and scaling analysis.

Contribution

The study reveals that the susceptible-exposed-infected model exhibits critical properties consistent with isotropic percolation, establishing its universality class via numerical and scaling methods.

Findings

Model's critical behavior matches isotropic percolation

Stationary properties are universal

Critical exponents align with dynamic percolation

Abstract

The critical properties of the stochastic susceptible-exposed-infected model on a square lattice is studied by numerical simulations and by the use of scaling relations. In the presence of an infected individual, a susceptible becomes either infected or exposed. Once infected or exposed, the individual remains forever in this state. The stationary properties are shown to be the same as those of isotropic percolation so that the critical behavior puts the model into the universality class of dynamic percolation.