title: Role of clustering and gridlike ordering in epidemic spreading.
abstract: The spreading of an epidemic is determined by the connectivity 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-time-step description, also providing an approach to track 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.
authors.affiliation: Laboratoire de Biophysique Statistique, ITP-FSB, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland. Thomas.Petermann@alumni.ethz.ch
authors.forename: Thomas
authors.initials: T
authors.lastname: Petermann
authors.forename: Paolo
authors.initials: P
authors.lastname: De los Rios
mesh_terms: D016000:Cluster Analysis; D003141:Communicable Diseases; D003710:Demography; D004196:Disease Outbreaks; D004812:Epidemiologic Methods; D006801:Humans; D007251:Influenza, Human / Q000453:epidemiology*; D008390:Markov Chains; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics; D011336:Probability; D013269:Stochastic Processes