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The role of clustering and gridlike ordering in epidemic spreading | Thomas Petermann
; Paolo De Los Rios
; | Date: |
22 Dec 2003 | Journal: | Phys. Rev. E 69, 066116 (2004), also included in the archive Virt. J. Biol. Phys. Research 7 (2004). DOI: 10.1103/PhysRevE.69.066116 | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks; Quantitative Methods | cond-mat.stat-mech cond-mat.dis-nn q-bio.QM | Abstract: | The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to find approaches that unravel the precise role of local interconnectedness. Such topological properties enter very naturally in the framework of our two-timestep description, also providing a novel approach to tract a probabilistic system. The method is elaborated for SIS-type epidemic processes, leading to a quantitative interpretation of the role of loops up to length 4 in the onset of an epidemic. | Source: | arXiv, cond-mat/0401434 | Services: | Forum | Review | PDF | Favorites |
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