Localization and Spreading of Diseases in Complex Networks

Abstract

Using the SIS model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of vertices right above the epidemic threshold, we show that diseases can be localized on a finite number of vertices, where hubs and edges with large weights are centers of localization. Our results follow from the analysis of standard models of networks and empirical data for real-world networks.

5 pages, 3 figures

References in corpus (4)

• Cooperative Game Theory Approaches for Network Partitioning
• Critical phenomena in complex networks
• Thresholds for epidemic spreading in networks
• The interplay of university and industry through the FP5 network

Cited by in corpus (142)

• Epidemic processes in complex networks
• The structure and dynamics of multilayer networks
• Griffiths phases and the stretching of criticality in brain networks
• Unification of theoretical approaches for epidemic spreading on complex networks
• Localization and centrality in networks
• Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Coevolution spreading in complex networks
• Social contagion models on hypergraphs
• Fundamentals of spreading processes in single and multilayer complex networks
• Analytical computation of the epidemic threshold on temporal networks
• Containing epidemic outbreaks by message-passing techniques
• Pair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks
• A framework for epidemic spreading in multiplex networks of metapopulations
• Distinct types of eigenvector localization in networks
• Predicting percolation thresholds in networks
• Disease Localization in Multilayer Networks
• The limitations of discrete-time approaches to continuous-time contagion dynamics
• Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
• Epidemic Threshold of Susceptible-Infected-Susceptible Model on Complex Networks
• Multistability, intermittency and hybrid transitions in social contagion models on hypergraphs
• Eigenvalue Spectra of Modular Networks
• Epidemic extinction and control in heterogeneous networks
• Relating Topological Determinants of Complex Networks to Their Spectral Properties: Structural and Dynamical Effects
• Eigenvector localization in real networks and its implications for epidemic spreading
• SEAIR epidemic spreading model of COVID-19
• Contrasting Effects of Strong Ties on SIR and SIS Processes in Temporal Networks
• Heterogeneous pair-approximation for the contact process on complex networks
• Spectral properties of complex networks
• Analytically Solvable Model of Spreading Dynamics with Non-Poissonian Processes
• Predicting the epidemic threshold of the susceptible-infected-recovered model
• Cavity and replica methods for the spectral density of sparse symmetric random matrices
• Multiple phase transitions of the susceptible-infected-susceptible epidemic model 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
• The Effect of Disease-induced Mortality on Structural Network Properties
• Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks
• Griffiths phases and localization in hierarchical modular networks
• The localization of non-backtracking centrality in networks and its physical consequences
• Explosive spreading on complex networks: the role of synergy
• Metastable Localization of Diseases in Complex Networks
• Does the brain behave like a (complex) network? I. Dynamics
• Nonbacktracking expansion of finite graphs
• Robustness and fragility of the susceptible-infected-susceptible epidemic models on complex networks
• Impact of the distribution of recovery rates on disease spreading in complex networks
• Optimal interlayer structure for promoting spreading of SIS model in two-layer networks
• Griffiths effects of the susceptible-infected-susceptible epidemic model on random power-law networks
• Discrete-time quantum walk on complex networks for community detection
• Spectral properties and the accuracy of mean-field approaches for epidemics on correlated networks
• Efficient sampling of spreading processes on complex networks using a composition and rejection algorithm
• Quantifying efficient information exchange in real network flows
• Traffic-driven SIR epidemic model on networks
• Explicit construction of the eigenvectors and eigenvalues of the graph Laplacian on the Cayley tree
• Infection propagator approach to compute epidemic thresholds on temporal networks: impact of immunity and of limited temporal resolution
• Linear stability analysis for large dynamical systems on directed random graphs
• Spectral analysis and slow spreading dynamics on complex networks
• Markovian approach to tackle the interaction of simultaneous diseases
• Information and motility exchange in collectives of active particles
• Localization and universality of eigenvectors in directed random graphs
• Smeared phase transitions in percolation on real complex networks
• Principal eigenvector localization and centrality in networks: revisited
• An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
• Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
• Relevance of backtracking paths in epidemic spreading on networks
• Epidemic Extinction Paths in Complex Networks
• Phase transition of the susceptible-infected-susceptible dynamics on time-varying configuration model networks
• Scaling Properties of Multilayer Random Networks
• Optimized evolution of networks for principal eigenvector localization
• Suppression of epidemic outbreaks with heavy-tailed contact dynamics
• High prevalence regimes in the pair quenched mean-field theory for the susceptible-infected-susceptible model on networks
• Cumulative Merging Percolation and the epidemic transition of the Susceptible-Infected-Susceptible model in networks
• Influential spreaders for recurrent epidemics on networks
• Topological structure and the H-index in complex networks
• Localization of multilayer networks by the optimized single-layer rewiring
• Dimension reduction of dynamical systems on networks with leading and non-leading eigenvectors of adjacency matrices
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks
• Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties
• Extreme-value statistics of networks with inhibitory and excitatory couplings
• Classes of critical avalanche dynamics in complex networks
• Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks
• Clustering for epidemics on networks: a geometric approach
• Localization transition, Lifschitz tails and rare-region effects in network models
• Assortative and disassortative mixing investigated using the spectra of graphs
• Resilient Sensor Placement for Kalman Filtering in Networked Systems: Complexity and Algorithms
• Activation thresholds in epidemic spreading with motile infectious agents on scale-free networks
• Resilience of epidemics on networks
• Topological dimension tunes activity patterns in hierarchical modular network models
• Localization of eigenvector centrality in networks with a cut vertex
• Large order fluctuations, switching, and control in complex networks
• Solvable epidemic model on degree-correlated networks
• Engineering chimera patterns in networks using heterogeneous delays
• Moving the epidemic tipping point through topologically targeted social distancing
• Sudden spreading of infections in an epidemic model with a finite seed fraction
• Network localization is unalterable by infections in bursts
• Effect of overlap on spreading dynamics on multiplex networks
• Universality of eigenvector delocalization and the nature of the SIS phase transition in multiplex networks
• Multistage onset of epidemics in heterogeneous networks
• Rare events in networks with internal and external noise
• Multifractal analysis of eigenvectors of smallworld networks
• From Spectra to Localized Networks: A Reverse Engineering Approach
• Graph theoretical approaches for the characterization of damage in hierarchical materials
• Comparison of mean-field based theoretical analysis methods for SIS model
• Critical drift in a neuro-inspired adaptive network
• Exponential rate of epidemic spreading on complex networks
• Nonlinear signaling on biological networks: the role of stochasticity and spectral clustering
• Analytic solution of the two-star model with correlated degrees
• Effect of Coupling on the Epidemic Threshold in Interconnected Complex Networks: A Spectral Analysis
• Eigenvalue ratio statistics of complex networks: Disorder vs. Randomness
• Optimizing spreading dynamics in interconnected networks
• Susceptible-infected-susceptible model on networks with eigenvector localization
• The Griffiths Phase on Hierarchical Modular Networks with Small-world Edges
• Degree-ordered percolation on hierarchical scale-free network
• Observing network dynamics through sentinel nodes
• Eigenvector localization in hypergraphs: pair-wise vs higher-order links
• Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network
• Slow dynamics of the contact process on complex networks
• Strength and weakness of disease-induced herd immunity in networks
• Influence of individual nodes for continuous-time Susceptible-Infected-Susceptible dynamics on synthetic and real-world networks
• Degree-Ordered-Percolation on uncorrelated networks
• Eigenvalue spectral tails and localization properties of asymmetric networks
• Epidemic threshold and localization of the SIS model on directed complex networks
• A 2D Levy-flight model for the complex dynamics of real-life financial markets
• Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network
• Comparison of theoretical approaches for epidemic processes with waning immunity in complex networks
• Representation of degree correlation using eigenvalue decomposition and its application to epidemic models
• Localization of nonbacktracking centrality on dense subgraphs of sparse networks
• Clustering-induced localization of quantum walks on networks
• The effect of role-based resource allocation on epidemic dynamics
• Wheel graph strategy for PEV localization of networks
• Hierarchical Coarse-grained Approach to the Duration-dependent Spreading Dynamics in Complex Networks
• Global hierarchy vs. local structure: spurious self-feedback in scale-free networks
• How contact patterns destabilize and modulate epidemic outbreaks
• Annealed mean-field epidemiological model on scale-free networks with a mitigating factor
• Approximating nonbacktracking centrality and localization phenomena in large networks
• The effect of delayed awareness and fatigue on the efficacy of self-isolation in epidemic control
• Mathematical models for epidemic spreading on complex networks
• Network construction: A learning framework through localizing principal eigenvector
• Impacts of bridging nodes on the epidemic activation mechanisms
• A class of randomized Subset Selection Methods for large complex networks
• On the initial value of PageRank
• Influence of transition mutations and disorder on charge localization and transfer along B-DNA sequences
• Dynamics of epidemic models from cavity master equations