Dynamics and evolution of biological and social networks

Epidemic dynamics on an adaptive network

Author: Bernd Blasius, ICBM, University of Oldenburg.

Names and affiliation of other authors:

Oral presentation

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 infected by rewiring their network connections. As we show, this gives rise to assortative degree correlation, oscillations, hysteresis and 1st order transitions. We propose a low-dimensional model, based on a pair-approximation, 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.

Dynamics and evolution of biological and social networks. February 18-20th, 2008. Mallorca, Spain.