Epidemic dynamics on an adaptive network

Details Epidemic dynamics on an adaptive network Epidemic dynamics on an adaptive network

2005-12-20

arxiv.org/abs/q-bio/0512037v2

Phys. Rev. Lett. 96, 208701 (2006)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 4 figures, final version

Scientific paper

10.1103/PhysRevLett.96.208701

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with infected by rewiring their network connections. We demonstrate that adaptive rewiring has profound consequences for the emerging network structure, giving rise to assortative degree correlation and a separation into two loosely connected sub-compartments. This leads to dynamics such as oscillations, hysteresis and 1st order transitions. We describe the system in terms of a simple model using a pair-approximation 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.

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