AN EPIDEMIC MODEL ON SMALL-WORLD NETWORKS AND RING VACCINATION-Reference-Cited by-同舟云学术

AN EPIDEMIC MODEL ON SMALL-WORLD NETWORKS AND RING VACCINATION

Published:2002-02 Issue:02 Volume:13 Page:189-198
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

AHMED E.¹²,HEGAZI A. S.¹,ELGAZZAR A. S.³⁴

Affiliation:

1. Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt

2. Mathematics Department, Faculty of Science, Al-Ain P. O. Box 17551, U.A.E

3. Max Planck Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany

4. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183102003048

Reference11 articles.

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2. Ring vaccination

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5. On social percolation and small world network

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