AN EPIDEMIC MODEL ON SMALL-WORLD NETWORKS AND RING VACCINATION

E. Ahmed, A. S. Hegazi and A. S. Elgazzar ()
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E. Ahmed: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt;
A. S. Hegazi: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt
A. S. Elgazzar: Max Planck Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 02, 189-198

Abstract: A modified version of susceptible-infected-recovered-susceptible (SIRS) model for the outbreaks of foot-and-mouth disease (FMD) is introduced. The model is defined on small-world networks, and a ring vaccination programme is included. This model can be a theoretical explanation for the nonlocal interactions in epidemic spreading. Ring vaccination is capable of eradicating FMD provided that the probability of infection is high enough. Also an analytical approximation for this model is studied.

Keywords: Epidemics models; FMD outbreaks; ring vaccination; small-world networks; nonlocal interactions (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003048

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