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2008 | 114 | 3 | 589-596
Article title

The SIRS Model of Epidemic Spreading in Virtual Society

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EN
Abstracts
EN
The phenomenon of epidemic spreading in a real social network is described and investigated numerically. On the basis of data concerning amount of time devoted daily to social interactions, the influence of human activity on spreading process is investigated in the frame of SIRS model. It was found that the activity of an individual is positively correlated with its connectivity and the relation has power law form. The influence of control measures on the spreading process is investigated as a function of initial conditions. The cost-effectiveness of mass immunizations campaigns and target vaccinations is compared. It was found that the form of activity distribution has significant influence on the spreading phenomena in the network.
Keywords
EN
Contributors
author
  • Central Institute for Labor Protection - National Research Institute, Czerniakowska 16, 00-701 Warsaw, Poland
author
  • Central Institute for Labor Protection - National Research Institute, Czerniakowska 16, 00-701 Warsaw, Poland
  • Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
References
  • 1. R. Albert, A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002)
  • 2. S.N. Dorogovtsev, J.F.F. Mendes, Evolution of Networks, Oxford Univ. Press, Oxford 2004
  • 3. M.E.J. Newman, Phys. Rev. E 67, 026126 (2003)
  • 4. A. Grabowski, R. Kosiński, Phys. Rev. E 70, 031908 (2004)
  • 5. N.T.J. Bailey, The Mathematical Theory of Infectious Diseases, Griffin, London 1975
  • 6. S.M. Dammer, H. Hinrichsen, Phys. Rev. E 68, 016114 (2003)
  • 7. M. Boguna, R. Pastor-Satorras, Phys. Rev. E 66, 047104 (2002)
  • 8. A. Vazquez, B. Rácz, A. Lukács, A.-L. Barabási, Phys. Rev. Lett. 98, 158702 (2007)
  • 9. A. Grabowski, N. Kruszewska, Int. J. Mod. Phys. C 18, 1527 (2007)
  • 10. A.-L. Barabási, Nature 435, 207 (2005)
  • 11. S.H. Strogatz, Nature (London) 410, 268 (2001)
  • 12. F. Liljeros, C.R. Edling, L.A.N. Amaral, H.E. Stanley, Y. Aberg, Nature 411, 907 (2001)
  • 13. E. Ravasz, A.L. Barabási, Phys. Rev. E 67, 026112 (2003)
  • 14. D. Centola, V.M. Eguiluz, M.W. Macy, Physica A, 374 (20449) 07
  • 15. W.O. Kermack, A.G. McKendrick, Proc. R. Soc. Lond. A 115, 700 (1927)
  • 16. I.M. Longini, M.E. Halloran, A. Nizam, Y. Yang, Am. J. Epidemiol. 159, 623 (2004)
  • 17. M. Barthelemy, A. Barrat, R. Pastor-Satorras, A. Vespignani, Phys. Rev. Lett. 92, 178701 (2004)
  • 18. A. Grabowski, M. Rosińska, Acta Phys. Pol. B 37, 1521 (2006)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv114n314kz
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