Literature DB >> 21797447

Quasistationary analysis of the contact process on annealed scale-free networks.

Silvio C Ferreira1, Ronan S Ferreira, Romualdo Pastor-Satorras.   

Abstract

We present an analysis of the quasistationary (QS) state of the contact process (CP) on annealed scale-free networks using a mapping of the CP dynamics in a one-step process and analyzing numerically and analytically the corresponding master equation. The relevant QS quantities determined via the master equation exhibit an excellent agreement with direct QS stochastic simulations of the CP. The high accuracy of the resulting data allows a probe of the strong corrections to scaling present in both the critical and supercritical regions, corrections that mask the correct finite-size scaling obtained analytically by applying an exact heterogeneous mean-field approach. Our results represent a promising starting point for a deeper understanding of the contact process and absorbing phase transitions on real (quenched) complex networks.

Year:  2011        PMID: 21797447     DOI: 10.1103/PhysRevE.83.066113

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  4 in total

1.  Robustness and fragility of the susceptible-infected-susceptible epidemic models on complex networks.

Authors:  Wesley Cota; Angélica S Mata; Silvio C Ferreira
Journal:  Phys Rev E       Date:  2018-07       Impact factor: 2.529

2.  Sampling methods for the quasistationary regime of epidemic processes on regular and complex networks.

Authors:  Renan S Sander; Guilherme S Costa; Silvio C Ferreira
Journal:  Phys Rev E       Date:  2016-10-14       Impact factor: 2.529

3.  Compensating for population sampling in simulations of epidemic spread on temporal contact networks.

Authors:  Mathieu Génois; Christian L Vestergaard; Ciro Cattuto; Alain Barrat
Journal:  Nat Commun       Date:  2015-11-13       Impact factor: 14.919

4.  Collective versus hub activation of epidemic phases on networks.

Authors:  Silvio C Ferreira; Renan S Sander; Romualdo Pastor-Satorras
Journal:  Phys Rev E       Date:  2016-03-14       Impact factor: 2.529

  4 in total

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