Critical properties of contact process on the Apollonian network

L.F. da Silva, R.N. Costa Filho, D.J.B. Soares, A. Macedo-Filho, U.L. Fulco and E.L. Albuquerque

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 6, 1532-1537

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 β/ν⊥ and 1/ν⊥ 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.

Keywords: Non-equilibrium phase transition; Directed percolation; Population dynamics; Critical exponents; Complex network (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:6:p:1532-1537

DOI: 10.1016/j.physa.2012.11.034

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