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An Epidemic Model On Small-World Networks And Ring Vaccination

Author

Listed:
  • E. AHMED

    (Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt;
    Mathematics Department, Faculty of Science, Al-Ain P. O. Box 17551, U.A.E)

  • 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;
    Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt)

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.

Suggested Citation

  • E. Ahmed & A. S. Hegazi & A. S. Elgazzar, 2002. "An Epidemic Model On Small-World Networks And Ring Vaccination," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 189-198.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:02:n:s0129183102003048
    DOI: 10.1142/S0129183102003048
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    Cited by:

    1. Ahmed, E. & Elgazzar, A.S., 2007. "On fractional order differential equations model for nonlocal epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 607-614.
    2. Li, Chao & Wang, Li & Sun, Shiwen & Xia, Chengyi, 2018. "Identification of influential spreaders based on classified neighbors in real-world complex networks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 512-523.

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