The structure of coevolving infection networks

Details The structure of coevolving infection networks The structure of coevolving infection networks

2011-11-30

arxiv.org/abs/1111.7267v1

EPL, 97 (2012) 18003

Nonlinear Sciences

Adaptation and Self-Organizing Systems

6 pages, 3 figures; to be published in EPL (https://www.epletters.net)

Scientific paper

10.1209/0295-5075/97/18003

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with constant infected node density in which the interplay of disease dynamics and link rewiring prompts the convergence towards a well defined degree distribution, irrespective of the initial network topology. We develop a method to study this dynamic equilibrium and give an analytic description of the structure of the characteristic degree distributions and other network measures. The method applies to a broad class of systems and can be used to determine the steady-state topology of many other adaptive networks.

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