title: Epidemic dynamics on an adaptive network.
abstract: Many real-world networks are characterized by adaptive changes in their topology depending on the state of their nodes. Here we study epidemic dynamics on an adaptive network, where the susceptibles are able to avoid contact with the infected by rewiring their network connections. This gives rise to assortative degree correlation, oscillations, hysteresis, and first order transitions. We propose a low-dimensional model to describe the system and present a full local bifurcation analysis. Our results indicate that the interplay between dynamics and topology can have important consequences for the spreading of infectious diseases and related applications.
authors.affiliation: AG Nichtlineare Dynamik, Institut für Physik, Universität Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.
authors.forename: Thilo
authors.initials: T
authors.lastname: Gross
authors.forename: Carlos J Dommar
authors.initials: CJ
authors.lastname: D'Lima
authors.forename: Bernd
authors.initials: B
authors.lastname: Blasius
mesh_terms: D007255:Information Services; D008962:Models, Theoretical; D016571:Neural Networks, Computer