%0 Journal Article %1 Mata2015Multiple %A Mata, Angélica S. %A Ferreira, Silvio C. %D 2015 %J Physical Review E %K gillespie, sis epidemic-models scale-free-networks %N 1 %P 012816+ %R 10.1103/PhysRevE.91.012816 %T Multiple transitions of the susceptible-infected-susceptible epidemic model on complex networks %U http://dx.doi.org/10.1103/PhysRevE.91.012816 %V 91 %X We show that the susceptible-infected-susceptible (SIS) epidemic dynamics running on the top of networks with a power law degree distribution can exhibit multiple phase transitions. Three main transitions involving different mechanisms responsible by sustaining the epidemics are identified: A short-term epidemics concentrated around the most connected vertex; a long-term (asymptotically stable) localized epidemics with a vanishing threshold; and an endemic phase occurring at a finite threshold. The different transitions are suited through different mean-field approaches. We finally show that the multiple transitions are due to the activations of different domains of the network that are observed in rapid (singular) variations of both stationary density of infected vertices and the participation ratio against the infection rate.

@article{Mata2015Multiple, abstract = {{We show that the susceptible-infected-susceptible (SIS) epidemic dynamics running on the top of networks with a power law degree distribution can exhibit multiple phase transitions. Three main transitions involving different mechanisms responsible by sustaining the epidemics are identified: A short-term epidemics concentrated around the most connected vertex; a long-term (asymptotically stable) localized epidemics with a vanishing threshold; and an endemic phase occurring at a finite threshold. The different transitions are suited through different mean-field approaches. We finally show that the multiple transitions are due to the activations of different domains of the network that are observed in rapid (singular) variations of both stationary density of infected vertices and the participation ratio against the infection rate.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Mata, Ang\'{e}lica S. and Ferreira, Silvio C.}, biburl = {https://www.bibsonomy.org/bibtex/29750e3713eddfc16e67ef182a64ac4c0/nonancourt}, citeulike-article-id = {13385657}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.91.012816}, citeulike-linkout-1 = {http://arxiv.org/abs/1403.6670}, citeulike-linkout-2 = {http://arxiv.org/pdf/1403.6670}, day = 22, doi = {10.1103/PhysRevE.91.012816}, eprint = {1403.6670}, interhash = {1af25320a2b09caf8442fb777f26a152}, intrahash = {9750e3713eddfc16e67ef182a64ac4c0}, issn = {1550-2376}, journal = {Physical Review E}, keywords = {gillespie, sis epidemic-models scale-free-networks}, month = jan, number = 1, pages = {012816+}, posted-at = {2014-10-08 10:47:17}, priority = {2}, timestamp = {2019-08-01T16:13:16.000+0200}, title = {{Multiple transitions of the susceptible-infected-susceptible epidemic model on complex networks}}, url = {http://dx.doi.org/10.1103/PhysRevE.91.012816}, volume = 91, year = 2015 }