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Influence Of The Initial Source Of Epidemic And Preventive Vaccination On The Spreading Phenomena In A Two-Dimensional Lattice

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  • R. A. KOSIŃSKI

    (Faculty of Physics, Warsaw University of Technology, Poland;
    Central Institute for Labour Protection — National Research Institute, Poland)

  • Ł. ADAMOWSKI

    (Faculty of Physics, Warsaw University of Technology, Poland)

Abstract

The probabilistic model of epidemic in a two-dimensional lattice with an additional random, long range connections characteristic for thesmall worldnetworks is presented. Relations describing the spreading process of epidemics, like epidemic curve or range of epidemic in time, were found. The influence of the borders of the lattice and the localization of the initial source of epidemic on the epidemic curve is found analytically. The application of the preventive vaccination in the population is discussed.

Suggested Citation

  • R. A. Kosiński & Ł. Adamowski, 2004. "Influence Of The Initial Source Of Epidemic And Preventive Vaccination On The Spreading Phenomena In A Two-Dimensional Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 755-765.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:06:n:s0129183104006200
    DOI: 10.1142/S0129183104006200
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    References listed on IDEAS

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    1. Tél, Tamás & Vollmer, Jürgen & Mátyás, László, 2003. "Comments on the paper ‘Particles, maps and irreversible thermodynamics’ by E.G.D. Cohen, L. Rondoni, Physica A 306 (2002) 117," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 323-326.
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