The role of clustering and gridlike ordering in epidemic spreading
arXiv:cond-mat/0401434 · doi:10.1103/PhysRevE.69.066116
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.
Submitted to Phys. Rev. E; 15 pages, 11 figures, 5 tables