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Epidemic spreading in a scale-free network of regular lattices

Author

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  • Silva, S.L.
  • Ferreira, J.A.
  • Martins, M.L.

Abstract

The susceptible-infected-susceptible (SIS) epidemics in a scale-free network in which each node is a square lattice itself is investigated through large-scale computer simulations. The model combines a local contact process among individuals in a node (or city) with stochastic long-range infections due to people traveling between cities interconnected by the national transportation scale-free network. A nonzero epidemic threshold is found and it is approached with a power-law behavior by the density of infected individuals, as observed in the small-world network of Watts and Strogatz. Also, the epidemic propagation follows a 1/f, hierarchical dynamics from the highly connected square lattices to the smaller degree nodes in outbreaks with sizes distributed accordingly a Gaussian function.

Suggested Citation

  • Silva, S.L. & Ferreira, J.A. & Martins, M.L., 2007. "Epidemic spreading in a scale-free network of regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 689-697.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:2:p:689-697
    DOI: 10.1016/j.physa.2006.11.027
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    References listed on IDEAS

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    1. Cristopher Moore & M. E. J. Newman, 2000. "Epidemics and Percolation in Small-World Networks," Working Papers 00-01-002, Santa Fe Institute.
    2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    4. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Zhang, Ding & Ma, Ting & Chen, Yucheng & Wang, Jiajia, 2012. "The impact of authorities’ media and rumor dissemination on the evolution of emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3978-3987.

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