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Epidemic Control In A Hierarchical Social Network

Author

Listed:
  • 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;
    Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland)

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.

Suggested Citation

  • Andrzej Grabowski & Robert A. Kosiński, 2006. "Epidemic Control In A Hierarchical Social Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 133-145.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:01:n:s012918310600890x
    DOI: 10.1142/S012918310600890X
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