Dynamical correlations and pairwise theory for the symbiotic contact process on networks

Abstract

The two-species symbiotic contact process (2SCP) is a stochastic process where each vertex of a graph may be vacant or host at most one individual of each species. Vertices with both species have a reduced death rate, representing a symbiotic interaction, while the dynamics evolves according to the standard (single species) contact process rules otherwise. We investigate the role of dynamical correlations on the 2SCP on homogeneous and heterogeneous networks using pairwise mean-field theory. This approach is compared with the ordinary one-site theory and stochastic simulations. We show that our theory significantly outperforms the one-site theory. In particular, the stationary state of the 2SCP model on random regular networks is very accurately reproduced by the pairwise mean-field, even for relatively small values of vertex degree, where expressive deviations of the standard mean-field are observed. The pairwise approach is also able to capture the transition points accurately for heterogeneous networks and provides rich phase diagrams with transitions not predicted by the one-site method. Our theoretical results are corroborated by extensive numerical simulations.

arXiv comment10 pages, 5 figures

References in corpus (38)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Statistical physics of social dynamics
• Epidemic processes in complex networks
• Statistical physics of human cooperation
• Generation of uncorrelated random scale-free networks
• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Threshold effects for two pathogens spreading on a network
• Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
• Coevolution spreading in complex networks
• High-accuracy approximation of binary-state dynamics on networks
• Explosive Phenomena in Complex Networks
• Contact processes on random graphs with power law degree distributions have critical value 0
• Binary-state dynamics on complex networks: pair approximation and beyond
• Analytical computation of the epidemic threshold on temporal networks
• Griffiths phases on complex networks
• Non mean-field behavior of the contact process on scale-free networks
• Interacting epidemics and coinfection on contact networks
• Disease Localization in Multilayer Networks
• Critical behaviors in contagion dynamics
• Outbreaks of coinfections: the critical role of cooperativity
• Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks
• Universal scaling of distances in complex networks
• Heterogeneous pair-approximation for the contact process on complex networks
• Impact of embedding on predictability of failure-recovery dynamics in networks
• Quasi-stationary simulations of the contact process on quenched networks
• Phase Transitions in Cooperative Coinfections: Simulation Results for Networks and Lattices
• Collective versus hub activation of epidemic phases on networks
• Sampling methods for the quasistationary regime of epidemic processes on regular and complex networks
• Explosive spreading on complex networks: the role of synergy
• Environmental vs. demographic variability in two-species predator-prey models
• First-order phase transitions in outbreaks of co-infectious diseases and the extended general epidemic process
• Mutually cooperative epidemics on power-law networks
• Critical behavior of the contact process on small-world networks
• Phase diagram of the symbiotic two-species contact process
• Failure-recovery model with competition between failures in complex networks: a dynamical approach
• The symbiotic contact process: phase transitions, hysteresis cycles, and bistability
• Parasites on parasites: coupled fluctuations in stacked contact processes

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