EPIDEMIC CONTROL IN A HIERARCHICAL SOCIAL NETWORK

Andrzej Grabowski () and Robert A. Kosiński ()
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Andrzej Grabowski: Central Institute for Labour Protection — National Research Institute, Czerniakowska 16, 00-701 Warsaw, Poland
Robert A. Kosiński: Central Institute for Labour Protection — National Research Institute, Czerniakowska 16, 00-701 Warsaw, Poland;

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 01, 133-145

Abstract: The phenomenon of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The SIR model with incubation time is used. In our model the localization of individuals in different social groups, the effectiveness of different interpersonal interactions and the mobility of a contemporary community are taken into account. The influence of different control methods on the spreading process is investigated as a function of different initial conditions. The cost-effectiveness of mass preventive random vaccinations, target vaccinations and sick leaves are compared. A critical range of vaccinations, sufficient for suppressing of an epidemic is calculated. The results of numerical calculations are similar to the solutions of the master equation for the spreading process.

Keywords: Epidemic; vaccination; 87.10.+e; 89.75.-k; 05.40.-a (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S012918310600890X

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