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Epidemic Dynamics on an Adaptive Network

Phys. Rev. Lett. 96, 208701 – Published 24 May 2006
Thilo Gross, Carlos J. Dommar D’Lima, and Bernd Blasius

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.

DOI: http://dx.doi.org/10.1103/PhysRevLett.96.208701

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  • Published 24 May 2006
  • Received 18 January 2006

Authors & Affiliations

Thilo Gross, Carlos J. Dommar D’Lima, and Bernd Blasius

  • AG Nichtlineare Dynamik, Institut für Physik, Universität Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany

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