Clusters of infected individuals are defined on data from health laboratories, but this quantity has not been defined and characterized by epidemy models on statistical physics. For a system of mobile agents we simulate a model of infection without immunization and show that all the moments of the cluster size distribution at the critical rate of infection are characterized by only one exponent, which is the same exponent that determines the behavior of the total number of infected agents. No giant cluster survives independent of the magnitude of the rate of infection.
Physica A Statistical Mechanics and its Applications
- Pub Date:
- October 2005
- Condensed Matter - Statistical Mechanics
- preprint for Physica A, proceedings of Medyfinol in La Serena