Epidemic spreading in evolving networks

Abstract

A model for epidemic spreading on rewiring networks is introduced and analyzed for the case of scale free steady state networks. It is found that contrary to what one would have naively expected, the rewiring process typically tends to suppress epidemic spreading. In particular it is found that as in static networks, rewiring networks with degree distribution exponent $\gamma >3$ exhibit a threshold in the infection rate below which epidemics die out in the steady state. However the threshold is higher in the rewiring case. For $2<\gamma \le 3$ no such threshold exists, but for small infection rate the steady state density of infected nodes (prevalence) is smaller for rewiring networks.

7 pages, 7 figures

References in corpus (3)

• Critical phenomena in complex networks
• Fluctuating epidemics on adaptive networks
• Contact processes on random graphs with power law degree distributions have critical value 0

Cited by in corpus (20)

• Optimal Containment of Epidemics in Temporal and Adaptive Networks
• Stability of Spreading Processes over Time-Varying Large-Scale Networks
• Epidemic threshold and control in a dynamic network
• Temporal interactions facilitate endemicity in the susceptible-infected-susceptible epidemic model
• A network epidemic model with preventive rewiring: comparative analysis of the initial phase
• Epidemic spreading on preferred degree adaptive networks
• Interplay of network dynamics and ties heterogeneity on spreading dynamics
• Oscillations in epidemic models with spread of awareness
• Evolution of cooperation driven by active information spreading
• Control of epidemics via social partnership adjustment
• Probing into the effectiveness of self-isolation policies in epidemic control
• Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
• Dynamic Network Models
• SIR epidemics on evolving graphs
• Assessing the risk of advanced persistent threats
• The damage inflicted by a computer virus: A new estimation method
• Defend against advanced persistent threats: An optimal control approach
• An approximation algorithm for shortest path based on the hierarchy networks
• Global Density Analysis for an Off-Lattice Agent-Based Model
• Enhancing Information Dissemination in Dynamic Wireless Network using Stability and Beamforming