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tact networks are necessarily embedded. To clarify the impact of this will probably
require explicit spatial simulations. Another factor that is not captured by moment
closure is the role of stochastic uctuations. An informative investigation of uctu-
ations in epidemics on adaptive networks is presented in Shaw and Schwartz (2008,
2009).
The detrimental eects of rewiring discussed here is absent if links are cut instead
of rewired. Whether cutting or rewiring links is the main response to a real world
disease depends strongly on its epidemiology as well as on choices made by the
individuals. Two prominent responses to SARS, wearing face masks and leaving
the aected region, correspond to cutting and rewiring links respectively. Also in
the case of AIDS links can be rewired, say, by nding a new partner, or cut, say,
by the use of condoms.
In summary epidemics on adaptive networks still pose many open questions. To
answer these questions will require further work in the physics of adaptive networks,
but also in eld epidemiology and the sociology of contact networks. The results
that have been obtained so far suggest that future interdisciplinary work could shed
light on the physics of the adaptive interplay between state and topology, on the
evolution of social networks, and on the dynamics of real world diseases.
References
Albert, R. and Barabasi, A. (2002). Statistical mechanics of complex networks,
Rev. Mod. Phys. 74, 1, pp. 1{54.
Albert, R., Jeong, H. and Barabasi, A. (2000). Error and attack tolerance of complex
networks, Nature 406, pp. 378{382.
Anderson, R. M. and May, R. M. (2005). Infectious diseases of humans. Dynamics and
Control (Oxford University Press, Oxford).
Bloom, B. and Christopher, J. M. (1992). Tuberculosis: Commentary on a reemergent
killer, Science 257, pp. 1055{1064.
Boccaletti, S., Latora, V., Moreno, Y., Chavez, M. and Hwang, D. (2006). Complex net-
works: Structure and dynamics, Physics Reports 424, p. 175.
Bornholdt, S. and Rohlf, T. (2000). Topological evolution of dynamical networks: Global
criticality from local dynamics, Phys. Rev. Lett. 84, 26, pp. 6114{6117.
Bowen, E. T. W., Lloyd, G., Harris, W. J., Platt, G. S., Baskerville, A. and Vella, E. E.
(1977). Viral haemorrhagic fever in southern sudan and northern zaire, The Lancet
1, pp. 571{573.
Breiman, R., Fields, B. S., Sanden, G. N., Volmer, L., Meier, A. and Spika, J. S. (1990).
Association of shower use with legionaires' disease, JAMA 263, pp. 2924{2926.
Caldarelli, G. (2007). Scale-free networks (Oxford University Press, Oxford).
Cartwright, F. F. (1972). Disease and History (Dorset, New York).
Daubney, R., Hudson, J. R. and Garnham, P. C. (1993). Enzootic hepatitis of rift
valley fever: an undescribed disease of sheep, cattle and man from east africa,
J. Pathol. Bacteriol. 34, pp. 545{549.
Do, L. and Gross, T. (2009). Contact processes and moment closure on adaptive net-
works, To appear in T. Gross and H. Sayama: Adaptive Networks, Springer Verlag,
Heidelberg.
