Cluster size distribution of infection in a system of mobile agents
Abstract
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.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 October 2005
 DOI:
 10.1016/j.physa.2005.05.020
 arXiv:
 arXiv:condmat/0502665
 Bibcode:
 2005PhyA..356..100G
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 preprint for Physica A, proceedings of Medyfinol in La Serena