Networks and the Epidemiology of Infectious Disease

Abstract

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review the growing body of research concerning the spread of infectious diseases on networks, focusing on the interplay between network theory and epidemiology. The review is split into four main sections, which examine: the types of network relevant to epidemiology; the multitude of ways these networks can be characterised; the statistical methods that can be applied to infer the epidemiological parameters on a realised network; and finally simulation and analytical methods to determine epidemic dynamics on a given network. Given the breadth of areas covered and the ever-expanding number of publications, a comprehensive review of all work is impossible. Instead, we provide a personalised overview into the areas of network epidemiology that have seen the greatest progress in recent years or have the greatest potential to provide novel insights. As such, considerable importance is placed on analytical approaches and statistical methods which are both rapidly expanding fields. Throughout this review we restrict our attention to epidemiological issues.

arXiv comment51 pages, 3 figure, submitted

References in corpus (18)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• Finding and evaluating community structure in networks
• Epidemic spreading in scale-free networks
• Assortative mixing in networks
• The architecture of complex weighted networks
• Analysis of weighted networks
• The scaling laws of human travel
• The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
• Multiscale mobility networks and the large scale spreading of infectious diseases
• The Web of Human Sexual Contacts
• Prediction and predictability of global epidemics: the role of the airline transportation network
• Forecast and Control of Epidemics in a Globalized World
• Epidemics and percolation in small-world networks
• Modeling the Worldwide Spread of Pandemic Influenza: Baseline Case and Containment Interventions
• Epidemic spreading in correlated complex networks
• Seasonal transmission potential and activity peaks of the new influenza A(H1N1): a Monte Carlo likelihood analysis based on human mobility
• Evolving Clustered Random Networks

Cited by in corpus (36)

• Epidemic processes in complex networks
• Social physics
• Understanding the spreading power of all nodes in a network: a continuous-time perspective
• Disease spread through animal movements: a static and temporal network analysis of pig trade in Germany
• Predicting the speed of epidemics spreading on networks
• Tight lower bound for percolation threshold on a quasi-regular graph
• The relationships between message passing, pairwise, Kermack-McKendrick and stochastic SIR epidemic models
• Modelling Epidemics on Networks
• Individual-based approach to epidemic processes on arbitrary dynamic contact networks
• Predicting epidemic outbreak from individual features of the spreaders
• Computation of epidemic final size distributions
• Simulation of the COVID-19 pandemic on the social network of Slovenia: estimating the intrinsic forecast uncertainty
• The zero-patient problem with noisy observations
• Message passing and moment closure for susceptible-infected-recovered epidemics on finite networks
• From neurons to epidemics: How trophic coherence affects spreading processes
• Efficient local behavioral change strategies to reduce the spread of epidemics in networks
• Extinction times of epidemic outbreaks in networks
• Dynamics of multi-stage infections on networks
• Estimating a novel stochastic model for within-field disease dynamics of banana bunchy top virus via approximate Bayesian computation
• Endemic infections are always possible on regular networks
• Propagation on networks: an exact alternative perspective
• Dynamics of Stochastic Epidemics on Heterogeneous Networks
• Heterogeneous network epidemics: real-time growth, variance and extinction of infection
• Two-pathogen model with competition on clustered networks
• Resilience of epidemics on networks
• Random spherical graphs
• Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
• Poverty in the time of epidemic: A modelling perspective
• Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
• Epidemics on contact networks: a general stochastic approach
• Stochastic epidemic dynamics on extremely heterogeneous networks
• Statistical mechanical approach of complex networks with weighted links
• Some aspects of the Markovian SIRS epidemic on networks and its mean-field approximation
• Epidemic dynamics on metapopulation networks with node2vec mobility
• A Parrondo paradox in susceptible-infectious-susceptible dynamics over periodic temporal networks
• Projectivity revisited