Cluster size distribution of infection in a system of mobile agents

M.C. González, H.J. Herrmann and A.D. Araújo

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 100-106

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.

Keywords: Non-equilibrium phase transitions; Contact process; Number of clusters; Epidemic dynamics (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:100-106

DOI: 10.1016/j.physa.2005.05.020

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