title: Epidemic spread on weighted networks.
abstract: The contact structure between hosts shapes disease spread. Most network-based models used in epidemiology tend to ignore heterogeneity in the weighting of contacts between two individuals. However, this assumption is known to be at odds with the data for many networks (e.g. sexual contact networks) and to have a critical influence on epidemics' behavior. One of the reasons why models usually ignore heterogeneity in transmission is that we currently lack tools to analyze weighted networks, such that most studies rely on numerical simulations. Here, we present a novel framework to estimate key epidemiological variables, such as the rate of early epidemic expansion (r0) and the basic reproductive ratio (R0), from joint probability distributions of number of partners (contacts) and number of interaction events through which contacts are weighted. These distributions are much easier to infer than the exact shape of the network, which makes the approach widely applicable. The framework also allows for a derivation of the full time course of epidemic prevalence and contact behaviour, which we validate with numerical simulations on networks. Overall, incorporating more realistic contact networks into epidemiological models can improve our understanding of the emergence and spread of infectious diseases.
authors.affiliation: Paul-Ehrlich-Institut, Federal Institute for Vaccines and Biomedicines, Langen, Germany.
authors.forename: Christel
authors.initials: C
authors.lastname: Kamp
authors.affiliation: INRA, UR 0341 Mathématiques et Informatique Appliquées, Jouy-en-Josas, France ; AgroParisTech, F-75005 Paris, France.
authors.forename: Mathieu
authors.initials: M
authors.lastname: Moslonka-Lefebvre
authors.affiliation: Laboratoire MIVEGEC (UMR CNRS 5290, IRD 224, UM1, UM2), Montpellier, France.
authors.forename: Samuel
authors.initials: S
authors.lastname: Alizon
mesh_terms: D004196:Disease Outbreaks; D016021:Epidemiologic Studies; D006801:Humans; D008962:Models, Theoretical; D012749:Sexually Transmitted Diseases / Q000453:epidemiology