%0 Journal Article %1 WOS:000315618100027 %A da Silva, L F %A Filho, R N Costa %A Soares, D J B %A Macedo-Filho, A %A Fulco, U L %A Albuquerque, E L %C RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS %D 2013 %I ELSEVIER %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K Complex Critical Directed Population dynamics; exponents; network} percolation; phase transition; {Non-equilibrium %N 6 %P 1532-1537 %R 10.1016/j.physa.2012.11.034 %T Critical properties of contact process on the Apollonian network %V 392 %X We investigate an epidemic spreading process by means of a computational simulation on the Apollonian network, which is simultaneously small-world, scale-free, Euclidean, space-filling and matching graphs. An analysis of the critical behavior of the Contact Process (CP) is presented using a Monte Carlo method. Our model shows a competition between healthy and infected individuals in a given biological or technological system, leading to a continuous phase transition between the active and inactive states, whose critical exponents beta/v(perpendicular to) and 1/v(perpendicular to) are calculated. Employing a finite-size scaling analysis, we show that the continuous phase transition belongs to the mean-field directed percolation universality class in regular lattices. (c) 2012 Elsevier B.V. All rights reserved.

@article{WOS:000315618100027, abstract = {We investigate an epidemic spreading process by means of a computational simulation on the Apollonian network, which is simultaneously small-world, scale-free, Euclidean, space-filling and matching graphs. An analysis of the critical behavior of the Contact Process (CP) is presented using a Monte Carlo method. Our model shows a competition between healthy and infected individuals in a given biological or technological system, leading to a continuous phase transition between the active and inactive states, whose critical exponents beta/v(perpendicular to) and 1/v(perpendicular to) are calculated. Employing a finite-size scaling analysis, we show that the continuous phase transition belongs to the mean-field directed percolation universality class in regular lattices. (c) 2012 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, author = {da Silva, L F and Filho, R N Costa and Soares, D J B and Macedo-Filho, A and Fulco, U L and Albuquerque, E L}, biburl = {https://www.bibsonomy.org/bibtex/21fe49c36ca462bf8bd1e36f387cf6ec0/ppgfis_ufc_br}, doi = {10.1016/j.physa.2012.11.034}, interhash = {82ead8fc43fe99fb2630f723f29771be}, intrahash = {1fe49c36ca462bf8bd1e36f387cf6ec0}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {Complex Critical Directed Population dynamics; exponents; network} percolation; phase transition; {Non-equilibrium}, number = 6, pages = {1532-1537}, publisher = {ELSEVIER}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Critical properties of contact process on the Apollonian network}, tppubtype = {article}, volume = 392, year = 2013 }