Quasi-stationary simulations of the contact process on quenched networks

Abstract

We present high-accuracy quasi-stationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs. The critical behavior is analyzed in the framework of the anomalous finite size scaling which was recently shown to hold for the contact process on annealed networks. It turns out that the quenched topology does not qualitatively change the critical behavior, leading only (as expected) to a shift of the transition point. The anomalous finite size scaling holds with exactly the same exponents of the annealed case, so that we can conclude that heterogeneous mean-field theory works for the contact process on quenched networks, at odds with previous claims. Interestingly, topological correlations induced by the presence of the natural cutoff do not alter the picture.

To appear in Phys. Rev. E

References in corpus (11)

• Synchronization in complex networks
• Critical phenomena in complex networks
• Thresholds for epidemic spreading in networks
• Griffiths phases on complex networks
• Finite-size scaling in complex networks
• Langevin approach for the dynamics of the contact process on annealed scale-free networks
• Routes to thermodynamic limit on scale-free networks
• Quasi-stationary analysis of the contact process on annealed scale-free networks
• Contact process on a Voronoi triangulation
• Reply to the Comment on the paper "Non-mean-field behavior of the contact process on scale-free networks"
• Quasi-stationary simulations of the directed percolation universality class in d = 3 dimensions

Cited by in corpus (31)

• Epidemic processes in complex networks
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Pair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks
• Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
• Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks
• Heterogeneous pair-approximation for the contact process on complex networks
• Collective versus hub activation of epidemic phases on networks
• Sampling methods for the quasistationary regime of epidemic processes on regular and complex networks
• Stochastic pair approximation treatment of the noisy voter model
• Metastable Localization of Diseases in Complex Networks
• Robustness and fragility of the susceptible-infected-susceptible epidemic models on complex networks
• Griffiths effects of the susceptible-infected-susceptible epidemic model on random power-law networks
• Six Susceptible-Infected-Susceptible Models on Scale-free Networks
• Critical behavior of the contact process on small-world networks
• Infection propagator approach to compute epidemic thresholds on temporal networks: impact of immunity and of limited temporal resolution
• Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks
• An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Interplay between the local information based behavioral responses and the epidemic spreading in complex networks
• Contact process with temporal disorder
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks
• Endemicity and prevalence of multipartite viruses under heterogeneous between-host transmission
• Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
• Phase transitions with infinitely many absorbing states in complex networks
• Bifurcations in synergistic epidemics on random regular graphs
• The Diffusive Epidemic Process on Barabasi-Albert Networks
• Heterogeneous mean-field theory for two-species symbiotic processes on networks
• Dynamical correlations and pairwise theory for the symbiotic contact process on networks
• Contact Process on Weighted Planar Stochastic Lattice
• Nonuniversal critical dynamics on planar random lattices with heterogeneous degree distributions
• Mandala Networks: ultra-robust, ultra-small-world and highly sparse graphs