%0 Journal Article %1 Guerra2010 %A Guerra, Beniamino %A Gardeñes, Jesús Gómez %D 2010 %I American Physical Society %J Physical Review E %K adaptive-networks annealed epidemics graphs mean-field networks sis %N 3 %P 035101 %R 10.1103/PhysRevE.82.035101 %T Annealed and mean-field formulations of disease dynamics on static and adaptive networks %V 82 %X We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the whole network ensemble all at once. Our results accurately reproduce those obtained by extensive numerical simulations showing a large improvement with respect to the usual heterogeneous mean-field formulation. Moreover, by means of the annealed formulation we derive a new heterogeneous mean-field formulation that correctly reproduces the epidemic dynamics.

@article{Guerra2010, abstract = {We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the whole network ensemble all at once. Our results accurately reproduce those obtained by extensive numerical simulations showing a large improvement with respect to the usual heterogeneous mean-field formulation. Moreover, by means of the annealed formulation we derive a new heterogeneous mean-field formulation that correctly reproduces the epidemic dynamics.}, added-at = {2011-03-30T18:01:55.000+0200}, author = {Guerra, Beniamino and Gardeñes, Jesús Gómez}, biburl = {https://www.bibsonomy.org/bibtex/27e99e8222c66516a3a34158ee350a511/rincedd}, doi = {10.1103/PhysRevE.82.035101}, interhash = {92bf15282ff6d0e396d73f4505b07221}, intrahash = {7e99e8222c66516a3a34158ee350a511}, journal = {Physical Review E}, keywords = {adaptive-networks annealed epidemics graphs mean-field networks sis}, number = 3, pages = 035101, publisher = {American Physical Society}, timestamp = {2011-03-30T18:01:55.000+0200}, title = {Annealed and mean-field formulations of disease dynamics on static and adaptive networks}, volume = 82, year = 2010 }