Scale-Free Distribution of Local Infection Cluster Sizes of Measles, Rubella, Syphilis and HIV/AIDS: Correlation with Size Distribution of Municipality Population That Was Also Scale-Free.

Scale-Free Distribution of Local Infection Cluster Sizes of Measles, Rubella, Syphilis and HIV/AIDS: Correlation with Size Distribution of Municipality Population That Was Also Scale-Free. Jpn J Infect Dis. 2016 May 9; Authors: Yoshikura H, Takeuchi F Abstract The size distribution of the local infection cluster (LIC), a group of patients reported from the same prefecture without interruption in successive weeks, was scale-free for infections that are transmitted from person to person (e.g., measles, rubella, syphilis and HIV/AIDS). For infections that never spread from person to person, the distribution was entirely random. The size distribution for measles, rubella, syphilis and HIV/AIDS could be simulated successfully by random coin tossing with probabilities that were higher for highly populated prefectures.The size distribution of the population in the large municipalities (>120,000) as well as that of LICs were found scale free. As the number of patients per prefecture was correlated with an equation P=kN(m), where m was 1.38 for syphilis, 1.63 for HIV/AIDS and 2 for measles or rubella, the frequency distribution of N(1.38), N(1.6) and N(2), where N was population of municipalities, were compared with the frequency distributions of LIC sizes of syphilis, HIV/AIDS, measles and rubella. The frequency distribution of LICs, particularly those of measles and rubella during the large epidemic years, was close to the frequency dist...
Source: Japanese Journal of Infectious Diseases - Category: Infectious Diseases Authors: Tags: Jpn J Infect Dis Source Type: research