%0 Journal Article %1 Wieland2012Structure %A Wieland, S. %A Aquino, T. %A Nunes, A. %D 2012 %J EPL (Europhysics Letters) %K adaptive-sis, temporal-networks epidemic-models %N 1 %P 18003+ %R 10.1209/0295-5075/97/18003 %T The structure of coevolving infection networks %U http://dx.doi.org/10.1209/0295-5075/97/18003 %V 97 %X Disease awareness in epidemiology can be modelled with adaptive contact networks, where the interplay of disease dynamics and network alteration often adds new phases to the standard models (Gross et al. 2006, Shaw et al. 2008) and, in stochastic simulations, lets network topology settle down to a steady state that can be static (in the frozen phase) or dynamic (in the endemic phase). We show for the SIS model that, in the endemic phase, this steady state does not depend on the initial network topology, only on the disease and rewiring parameters and on the link density of the network, which is conserved. We give an analytic description of the structure of this co-evolving network of infection through its steady-state degree distribution.

@article{Wieland2012Structure, abstract = {{Disease awareness in epidemiology can be modelled with adaptive contact networks, where the interplay of disease dynamics and network alteration often adds new phases to the standard models (Gross et al. 2006, Shaw et al. 2008) and, in stochastic simulations, lets network topology settle down to a steady state that can be static (in the frozen phase) or dynamic (in the endemic phase). We show for the SIS model that, in the endemic phase, this steady state does not depend on the initial network topology, only on the disease and rewiring parameters and on the link density of the network, which is conserved. We give an analytic description of the structure of this co-evolving network of infection through its steady-state degree distribution.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Wieland, S. and Aquino, T. and Nunes, A.}, biburl = {https://www.bibsonomy.org/bibtex/2f3cf8abda55854c3ce5b9e27b8de925c/nonancourt}, citeulike-article-id = {11827366}, citeulike-linkout-0 = {http://dx.doi.org/10.1209/0295-5075/97/18003}, citeulike-linkout-1 = {http://arxiv.org/abs/1212.1060}, citeulike-linkout-2 = {http://arxiv.org/pdf/1212.1060}, day = 1, doi = {10.1209/0295-5075/97/18003}, eprint = {1212.1060}, interhash = {30d194ae9a4aafd31ac4fb67389987c9}, intrahash = {f3cf8abda55854c3ce5b9e27b8de925c}, issn = {1286-4854}, journal = {EPL (Europhysics Letters)}, keywords = {adaptive-sis, temporal-networks epidemic-models}, month = jan, number = 1, pages = {18003+}, posted-at = {2012-12-07 15:43:51}, priority = {2}, timestamp = {2019-07-31T12:34:57.000+0200}, title = {{The structure of coevolving infection networks}}, url = {http://dx.doi.org/10.1209/0295-5075/97/18003}, volume = 97, year = 2012 }