An efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks

Abstract

We propose an efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks, wherein each node represents a subpopulation with any number of individuals and is assigned a curing rate that is proportional to $k^{\alpha }$ with $k$ the node degree and $\alpha$ an adjustable parameter. We have performed stochastic simulations of the dynamical reaction-diffusion processes associated with the susceptible-infected-susceptible model in scale-free networks. We found that the epidemic threshold reaches a maximum when the exponent $\alpha$ is tuned to be ${\alpha }_{opt}\simeq 1.3$. This nontrivial phenomenon is robust to the change of the network size and the average degree. In addition, we have carried out a mean field analysis to further validate our scheme, which also demonstrates that epidemic explosion follows different routes for $\alpha$ larger or less than ${\alpha }_{opt}$. Our work suggests that in order to effectively suppress epidemic spreading on heterogeneous complex networks, subpopulations with higher degrees should be allocated more resources than just being linearly dependent on the degree $k$.

14 pages, 6 figures

References in corpus (31)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• The structure and function of complex networks
• Epidemic spreading in scale-free networks
• Synchronization in complex networks
• The spread of epidemic disease on networks
• Identification of influential spreaders in complex networks
• Evolution of networks
• Spatial Networks
• Critical phenomena in complex networks
• Epidemic dynamics and endemic states in complex networks
• Dynamical and correlation properties of the Internet
• Reaction-diffusion processes and metapopulation models in heterogeneous networks
• Epidemic outbreaks in complex heterogeneous networks
• Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
• Thresholds for epidemic spreading in networks
• Epidemic spreading in correlated complex networks
• Absence of epidemic threshold in scale-free networks with connectivity correlations
• Understanding the spreading patterns of mobile phone viruses
• Turing patterns in network-organized activator-inhibitor systems
• Turing patterns on networks
• Invasion threshold in heterogeneous metapopulation networks
• Phase transitions in contagion processes mediated by recurrent mobility patterns
• Epidemic Incidence in Correlated Complex Networks
• Natural human mobility patterns and spatial spread of infectious diseases
• Global disease spread: statistics and estimation of arrival times
• Collective synchronization induced by epidemic dynamics on complex networks with communities
• Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation
• Effects of diffusion rates on epidemic spreads in metapopulation networks
• Bosonic reaction-diffusion processes on scale-free networks
• Impact of network structure on a model of diffusion and competitive interaction

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