%0 Journal Article %1 Boguna2013Nature %A Bogu\ ná, Marian %A Castellano, Claudio %A Pastor-Satorras, Romualdo %D 2013 %J Physical Review Letters %K eigenvalues, sis networks epidemic-models scale-free-networks %N 6 %R 10.1103/PhysRevLett.111.068701 %T Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks %U http://dx.doi.org/10.1103/PhysRevLett.111.068701 %V 111 %X We develop a analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.

@article{Boguna2013Nature, abstract = {{We develop a analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Bogu\ {n}\'{a}, Marian and Castellano, Claudio and Pastor-Satorras, Romualdo}, biburl = {https://www.bibsonomy.org/bibtex/24fcc1cb684dbf33c0e661b06537432fc/nonancourt}, citeulike-article-id = {12358601}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevLett.111.068701}, citeulike-linkout-1 = {http://arxiv.org/abs/1305.4819}, citeulike-linkout-2 = {http://arxiv.org/pdf/1305.4819}, day = 21, doi = {10.1103/PhysRevLett.111.068701}, eprint = {1305.4819}, interhash = {ef65b9361bbfa372d55ba637964dbb74}, intrahash = {4fcc1cb684dbf33c0e661b06537432fc}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {eigenvalues, sis networks epidemic-models scale-free-networks}, month = aug, number = 6, posted-at = {2013-05-22 14:24:05}, priority = {2}, timestamp = {2019-08-01T16:13:16.000+0200}, title = {{Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks}}, url = {http://dx.doi.org/10.1103/PhysRevLett.111.068701}, volume = 111, year = 2013 }