Epidemic processes in complex networks

Abstract

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world networks have a profound impact on the behavior of equilibrium and nonequilibrium phenomena occurring in various systems, and the study of epidemic spreading is central to our understanding of the unfolding of dynamical processes in complex networks. The theoretical analysis of epidemic spreading in heterogeneous networks requires the development of novel analytical frameworks, and it has produced results of conceptual and practical relevance. A coherent and comprehensive review of the vast research activity concerning epidemic processes is presented, detailing the successful theoretical approaches as well as making their limits and assumptions clear. Physicists, mathematicians, epidemiologists, computer, and social scientists share a common interest in studying epidemic spreading and rely on similar models for the description of the diffusion of pathogens, knowledge, and innovation. For this reason, while focusing on the main results and the paradigmatic models in infectious disease modeling, the major results concerning generalized social contagion processes are also presented. Finally, the research activity at the forefront in the study of epidemic spreading in coevolving, coupled, and time-varying networks is reported.

62 pages, 15 figures, final version

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• Suppressing epidemic spreading by risk-averse migration in dynamical networks
• Guiding large-scale management of invasive species using network metrics
• Decay towards the overall-healthy state in SIS epidemics on networks
• Multiple peaks patterns of epidemic spreading in multi-layer networks
• Epidemic prevalence information on social networks mediates emergent collective outcomes in voluntary vaccine schemes
• Objective measures for sentinel surveillance in network epidemiology
• Interplay between cost and benefits triggers nontrivial vaccination uptake
• Multiple outbreaks in epidemic spreading with local vaccination and limited vaccines
• High prevalence regimes in the pair quenched mean-field theory for the susceptible-infected-susceptible model on networks
• Social contagions on weighted networks
• Cumulative Merging Percolation and the epidemic transition of the Susceptible-Infected-Susceptible model in networks
• Efficient limited-time reachability estimation in temporal networks
• Misinformation spreading on correlated multiplex networks
• Measles-induced immune amnesia and its effects in concurrent epidemics
• Machine Learning Link Inference of Noisy Delay-coupled Networks with Opto-Electronic Experimental Tests
• Self-initiated behavioural change and disease resurgence on activity-driven networks
• A Bayesian generative neural network framework for epidemic inference problems
• Gillespie algorithms for stochastic multiagent dynamics in populations and network
• Particle velocity controls phase transitions in contagion dynamics
• Burstiness in activity-driven networks and the epidemic threshold
• Effects of local and global network connectivity on synergistic epidemics
• Optimal adaptive testing for epidemic control: combining molecular and serology tests
• Small inter-event times govern epidemic spreading on temporal networks
• Influential spreaders for recurrent epidemics on networks
• Topological structure and the H-index in complex networks
• Spreading and Structural Balance on Signed Networks
• Evolution of cooperation driven by active information spreading
• Scaling Properties in Time-Varying Networks with Memory
• Probing the network structure of health deficits in human aging
• Influencers identification in complex networks through reaction-diffusion dynamics
• Using Active Matter to Introduce Spatial Heterogeneity to the Susceptible-Infected-Recovered Model of Epidemic Spreading
• Identifying exogenous and endogenous activity in social media
• Detecting the Influence of Spreading in Social Networks with Excitable Sensor Networks
• Continuous-time quantum walk spatial search on the Bollobás scale-free network
• Epidemic Spreading and Digital Contact Tracing: Effects of Heterogeneous Mixing and Quarantine Failures
• Diffusion of innovation in large scale graphs
• Estimates of the reproduction ratio from epidemic surveillance may be biased in spatially structured populations
• Evolution of Labour Supply in Ridesourcing
• Dimension reduction of dynamical systems on networks with leading and non-leading eigenvectors of adjacency matrices
• Mixed-order phase transition in a two-step contagion model with single infectious seed
• Message-Passing Methods for Complex Contagions
• Modeling complex systems: A case study of compartmental models in epidemiology
• Stochastic effects on the dynamics of an epidemic due to population subdivision
• Stochastic epidemic model on a simplicial complex
• Correlated bursts in temporal networks slow down spreading
• Contagion dynamics on adaptive multiplex networks with awareness-dependent rewiring
• Network Alignment
• Percolation Framework of the Earth's Topography
• Input-output relationship in social communications characterized by spike train analysis
• Impact of presymptomatic transmission on epidemic spreading in contact networks: A dynamic message-passing analysis
• Lower bound of assortativity coefficient in scale-free networks
• Uncovering the fragility of large-scale engineering project networks
• MR. Estimator, a toolbox to determine intrinsic timescales from subsampled spiking activity
• Quantum advantage for differential equation analysis
• The spectral density of dense random networks and the breakdown of the Wigner semicircle law
• Insights into bootstrap percolation: Its equivalence with k-core percolation and the giant component
• Prediction and mitigation of nonlocal cascading failures using graph neural networks
• Intervention Threshold for Epidemic Control in Susceptible-Infected-Recovered Metapopulation Models
• Designing virus-resistant, high-performance networks: a game-formation approach
• Impact of perception models on friendship paradox and opinion formation
• Non-Markovian epidemic spreading on temporal networks
• Targeted influence maximization in complex networks
• Ranking influential spreaders is an ill-defined problem
• Antivax movement and epidemic spreading in the era of social networks: Nonmonotonic effects, bistability and network segregation
• Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
• On the numerical study of percolation and epidemic critical properties in networks
• Synchronized and mixed outbreaks of coupled recurrent epidemics
• Identifying time dependence in network growth
• Endemicity and prevalence of multipartite viruses under heterogeneous between-host transmission
• Infection patterns in simple and complex contagion processes on networks
• A Dynamic Population Model of Strategic Interaction and Migration under Epidemic Risk
• Simulating SIR processes on networks using weighted shortest paths
• Critical stretching of mean-field regimes in spatial networks
• Modelling Excess Mortality in Covid-19-like Epidemics
• Nonlinear bias toward complex contagion in uncertain transmission settings
• Efficiency of prompt quarantine measures on a susceptible-infected-removed model in networks
• Pattern dynamics of interacting contagions
• Simulated Epidemics in 3D Protein Structures to Detect Functional Properties
• Epidemics with containment measures
• The Impact of Social Curiosity on Information Spreading on Networks
• Quantum many-body dynamics on the star graph
• Random walks on complex networks with multiple resetting nodes: a renewal approach
• Competition between vaccination and disease spreading
• Graph eigenvectors, fundamental weights and centrality metrics for nodes in networks
• Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks
• Complex contagion features without social reinforcement in a model of social information flow
• Close and ordinary social contacts: how important are they in promoting large-scale contagion?
• Classes of critical avalanche dynamics in complex networks
• Learning epidemic threshold in complex networks by Convolutional Neural Network
• Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
• Epidemic processes on self-propelled particles: continuum and agent-based modelling
• Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks
• The Bass diffusion model on finite Barabasi-Albert networks
• Centralized and decentralized isolation strategies and their impact on the COVID-19 pandemic dynamics
• Clustering for epidemics on networks: a geometric approach
• Heterogeneous impact of a lockdown on inter-municipality mobility
• The role of time scale in the spreading of asymmetrically interacting diseases
• Optimal community structure for social contagions
• Fractality and degree correlations in scale-free networks
• The Dynamics of Knowledge Acquisition via Self-Learning in Complex Networks
• A general model of hierarchical fractal scale-free networks
• Agent-based modeling for realistic reproduction of human mobility and contact behavior to evaluate test and isolation strategies in epidemic infectious disease spread
• Combination of survival movement strategies in cyclic game systems during an epidemic
• Epidemic control in networks with cliques
• A Model for Android and iOS Applications Risk Calculation: CVSS Analysis and Enhancement Using Case-Control Studies
• Uncertainty Reduction for Stochastic Processes on Complex Networks
• Activation thresholds in epidemic spreading with motile infectious agents on scale-free networks
• Modelling virus spreading in ride-pooling networks
• Contact network models matching the dynamics of the COVID-19 spreading
• Dynamics of tax evasion through an epidemic-like model
• Non-Markovian Majority-Vote model
• Variational Bayesian Weighted Complex Network Reconstruction
• Aging in binary-state models: The Threshold model for Complex Contagion
• k-core structure of real multiplex networks
• Associative nature of event participation dynamics: a network theory approach
• From continuous to discontinuous transitions in social diffusion
• Degree Dispersion Increases the Rate of Rare Events in Population Networks
• Self-isolation or borders closing: what prevents epidemic spreading better?
• Double transition of information spreading in a two-layered network
• A framework for cascade size calculations on random networks
• Optimal networks for dynamical spreading
• Enhancement of large fluctuations to extinction in adaptive networks
• Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication
• Kardar-Parisi-Zhang universality class for the critical dynamics of reaction-diffusion fronts
• Controversy-seeking fuels rumor-telling activity in polarized opinion networks
• Majority-vote model on spatially embedded networks: crossover from mean-field to Ising universality classes
• Modeling Epidemic Spreading through Public Transit using Time-Varying Encounter Network
• Skepticism and rumor spreading: the role of spatial correlations
• Not all interventions are equal for the height of the second peak
• Failure-recovery model with competition between failures in complex networks: a dynamical approach
• Localization, epidemic transitions, and unpredictability of multistrain epidemics with an underlying genotype network
• Impacts of Physical-Layer Information on Epidemic Spreading in Cyber-Physical Networked Systems
• Generative models of simultaneously heavy-tailed distributions of inter-event times on nodes and edges
• Analysis of the convergence of the degree distribution of contracting random networks towards a Poisson distribution using the relative entropy
• Directed Percolation in Temporal Networks
• Scale-free networks emerging from multifractal time series
• Dynamics of diffusion on monoplex and multiplex networks: A message-passing approach
• Opinion formation on social networks with algorithmic bias: Dynamics and bias imbalance
• Reconstructing parameters of spreading models from partial observations
• Directed Percolation in Random Temporal Network Models with Heterogeneities
• Control of epidemics via social partnership adjustment
• Explosive Phase Transition in a Majority-Vote Model with Inertia
• Impact of spatially constrained sampling of temporal contact networks on the evaluation of the epidemic risk
• Impact of assortative mixing by mask-wearing on the propagation of epidemics in networks
• Phase transitions in a multistate majority-vote model on complex networks
• Simplicial cascades are orchestrated by the multidimensional geometry of neuronal complexes
• An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies
• Replica-Mean-Field Limits of Fragmentation-Interaction-Aggregation Processes
• Epidemics on networks with heterogeneous population and stochastic infection rates
• Critical behavior of a two-step contagion model with multiple seeds
• Interacting social processes on interconnected networks
• Convergence towards an Erd{\H o}s-Rényi graph structure in network contraction processes
• Global efficiency and network structure of urban traffic flows: A percolation-based empirical analysis
• Synergistic signatures of group mechanisms in higher-order systems
• Sizing the length of complex networks
• Unifying continuous, discrete, and hybrid susceptible-infected-recovered processes on networks
• Heterogeneity extends criticality
• Topological dimension tunes activity patterns in hierarchical modular network models
• Structure of percolating clusters in random clustered networks
• Rapid decay in the relative efficiency of quarantine to halt epidemics in networks
• Epidemic extinction in networks: Insights from the 12,110 smallest graphs
• Memory-induced complex contagion in epidemic spreading
• Diffusion on hierarchical systems of weakly-coupled networks
• Large order fluctuations, switching, and control in complex networks
• Node Immunization with Non-backtracking Eigenvalues
• Predictive modelling of disease propagation in a mobile, connected community
• Dynamics of multilayer networks with amplification
• Dynamical robustness of complex networks subject to long-range connectivity
• Approximating quasi-stationary behaviour in network-based SIS dynamics
• The Bass diffusion model: agent-based implementation on arbitrary networks
• The structural evolution of temporal hypergraphs through the lens of hyper-cores
• Extended-range percolation in complex networks
• Mean-field theory for double-well systems on degree-heterogeneous networks
• Effective Resistance for Pandemics: Mobility Network Sparsification for High-Fidelity Epidemic Simulation
• Inferring Spatial Source of Disease Outbreaks using Maximum Entropy
• Dynamic Hidden-Variable Network Models
• Solvable epidemic model on degree-correlated networks
• Two-level modeling of quarantine
• Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter Models
• Competition, Collaboration, and Optimization in Multiple Interacting Spreading Processes
• Temporal disorder in discontinuous non-equilibrium phase transitions: general results
• Impact of origin-destination information in epidemic spreading
• Influence Maximization for Fixed Heterogeneous Thresholds
• Dynamical universality of the contact process
• Modelling indirect interactions during failure spreading in a project activity network
• Reactive immunization on complex networks
• Fast computation method for comprehensive agent-level epidemic dissemination in networks
• Stability of SIS Spreading Processes in Networks with Non-Markovian Transmission and Recovery
• Structural Complexity Of Quantum Networks
• Switchover phenomenon induced by epidemic seeding on geometric networks
• Quenched mean-field theory for the majority-vote model on complex networks
• Epidemic spreading in group-structured populations
• Optimization of coupling and global collapse in diffusively coupled socio-ecological resource exploitation networks
• Threshold cascade dynamics on coevolving networks
• Logistic growth on networks: exact solutions for the SI model
• Lumping of Degree-Based Mean Field and Pair Approximation Equations for Multi-State Contact Processes
• Cyber Network Resilience against Self-Propagating Malware Attacks
• Non-linear network dynamics with consensus-dissensus bifurcation
• Rumor propagation meets skepticism: a parallel with zombies
• Emergence of event cascades in inhomogeneous networks
• Saturation Effects and the Concurrency Hypothesis: Insights from an Analytic Model
• The structure of networks that evolve under a combination of growth, via node addition and random attachment, and contraction, via random node deletion
• Adaptive altruistic strategy in cyclic models during an epidemic
• Improved Bounds on the Epidemic Threshold of Exact SIS Models on Complex Networks
• Synchronization Invariance Under Network Structural Transformations
• Moving the epidemic tipping point through topologically targeted social distancing
• Percolation on spatial anisotropic networks
• Multilayer modeling of adoption dynamics in energy demand management
• The symbiotic contact process: phase transitions, hysteresis cycles, and bistability
• The Opacity Problem in Social Contagion
• Disease spreading with social distancing: A prevention strategy in disordered multiplex networks
• A Reputation Game Simulation: Emergent Social Phenomena from Information Theory
• Bounds of memory strength for power-law series
• Measuring nodes centrality when local and global measures overlap
• Analytical study of quality-biased competition dynamics for memes in social media
• Asymptotic absorption-time distributions in extinction-prone Markov processes
• A minimal model for adaptive SIS epidemics
• A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
• Descendant distributions for the impact of mutant contagion on networks
• Adaptive survival movement strategy to local epidemic outbreaks in cyclic models
• Estimating epidemic arrival times using linear spreading theory
• Social Network Fusion and Mining: A Survey
• Predicting the diversity of early epidemic spread on networks
• Effect of network clustering on mutually cooperative coinfections
• Evolution of Threats in the Global Risk Network
• Critical phenomena of a hybrid phase transition in cluster merging dynamics
• Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information
• Jensen's force and the statistical mechanics of cortical asynchronous states
• Algorithmic complexity of multiplex networks
• Analytical results for the distribution of cover times of random walks on random regular graphs
• Network localization is unalterable by infections in bursts
• Asymmetric disease dynamics in multihost interconnected networks
• Filtering higher-order datasets
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Non-universal power-law dynamics of SIR models on hierarchical modular networks
• Spread of variants of epidemic disease based on the microscopic numerical simulations on networks
• Effects of Time Horizons on Influence Maximization in the Voter Dynamics
• Spectra of random networks in the weak clustering regime
• Analytical and cellular automaton approach to a generalized SEIR model for infection spread in an open crowded space
• A realistic agent-based simulation model for COVID-19 based on a traffic simulation and mobile phone data
• Fast asynchronous updating algorithms for k-shell indices
• Sudden spreading of infections in an epidemic model with a finite seed fraction
• Effect of overlap on spreading dynamics on multiplex networks
• Understanding the temporal pattern of spreading in heterogeneous networks: Theory of the mean infection time
• Stylized facts in social networks: Community-based static modeling
• Effective medium approximation for lattice random walks with long-range jumps
• Hashkat: Large-scale simulations of online social networks
• Infection spreading and recovery in a square lattice
• Complexity of Government response to Covid-19 pandemic: A perspective of coupled dynamics on information heterogeneity and epidemic outbreak
• Unifying information propagation models on networks and influence maximization
• Type reproduction number for epidemic models on heterogeneous networks
• Coexistence of positive and negative information in information-epidemic dynamics on multiplex networks
• Multistage onset of epidemics in heterogeneous networks
• On the efficiency of decentralized epidemic management and application to Covid-19
• Optimal information diffusion in stochastic block models
• Effective submodularity of influence maximization on temporal networks
• Spreading processes in "post-epidemic" environments
• Targeted Recovery as an Effective Strategy against Epidemic Spreading
• Simple quasistationary method for simulations of epidemic processes with localized states
• Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks
• Accelerating coordination in temporal networks by engineering the link order
• A unified framework of epidemic spreading prediction by empirical mode decomposition based ensemble learning techniques
• The universality of physical images at relative timescales on multiplex networks
• Controlling distant contacts to reduce disease spreading on disordered complex networks
• Knowledge Cores in Large Formal Contexts
• The Contact Process on Random Graphs and Galton-Watson Trees
• Influence maximization in noisy networks
• Zoo Guide to Network Embedding
• Stochastic epidemic dynamics on extremely heterogeneous networks
• Self-organization of network dynamics into local quantized states
• Interactions in information spread: quantification and interpretation using stochastic block models
• The statistical physics of discovering exogenous and endogenous factors in a chain of events
• The Diffusive Epidemic Process on Barabasi-Albert Networks
• Delocalization-localization dynamical phase transition of random walks on graphs
• First passage in discrete-time absorbing Markov chains under stochastic resetting
• Two golden times in two-step contagion models
• Empirical study of the role of the topology in spreading on communication networks
• Collapse transition in epidemic spreading subject to detection with limited resources
• Rare events in networks with internal and external noise
• Measures and Optimization for Robustness and Vulnerability in Disconnected Networks
• Deep learning based parameter search for an agent based social network model
• Go viral or go broadcast? Characterizing the virality and growth of cascades
• The Strength of Structural Diversity in Online Social Networks
• Scaling laws of failure dynamics on complex networks
• Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
• DyANE: Dynamics-aware node embedding for temporal networks
• Bifurcations in synergistic epidemics on random regular graphs
• Characteristic scales and adaptation in higher-order contagions
• A Stochastic Differential Equation Framework for Guiding Online User Activities in Closed Loop
• Duality between predictability and reconstructability in complex systems
• Influence of Information Blocking on the Spread of Virus in Multilayer Networks
• Network Reconstruction and Prediction of Epidemic Outbreaks for NIMFA Processes
• Exponential rate of epidemic spreading on complex networks
• Epidemic-guided deep learning for spatiotemporal forecasting of Tuberculosis outbreak
• Weighted H-index for identifying influential spreaders
• Detecting Hidden Layers from Spreading Dynamics on Complex Networks
• Approximation methods for the stability of complete synchronization on duplex networks
• A model for meme popularity growth in social networking systems based on biological principle and human interest dynamics
• Finite-time scaling for epidemic processes with power-law superspreading events
• Information Evolution in Complex Networks
• After 2018 Bolsonaro victory, is a 2022 remake feasible?
• The influence of a transport process on the epidemic threshold
• The spreading of computer viruses on time-varying networks
• Dynamic phase transition theory
• A new formulation of compartmental epidemic modelling for arbitrary distributions of incubation and removal times
• Social adaptive behavior and oscillatory prevalence in an epidemic model on evolving random geometric graphs
• The impact of network properties and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective
• Endemic infectious states below the epidemic threshold and beyond herd immunity
• Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model
• SIS Epidemic Spreading with Heterogeneous Infection Rates
• Parameterizing Network Graph Heterogeneity using a Modified Weibull Distribution
• Impact of random and targeted disruptions on information diffusion during outbreaks
• Bayes-optimal inference for spreading processes on random networks
• Variational approximations for stochastic dynamics on graphs
• Effectiveness of Contact Tracing on Networks with Cliques
• Nonlinear signaling on biological networks: the role of stochasticity and spectral clustering
• Empirical analysis of congestion spreading in Seoul traffic network
• Correlations between thresholds and degrees: An analytic approach to model attacks and failure cascades
• Characterizing cycle structure in complex networks
• Dynamic Network Prediction
• Shadows of the SIS immortality transition in small networks
• Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks
• Modeling and Control of Epidemics through Testing Policies
• Preserving system activity while controlling epidemic spreading in adaptive temporal networks
• Models of Continuous-Time Networks with Tie Decay, Diffusion, and Convection
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Some aspects of the Markovian SIRS epidemic on networks and its mean-field approximation
• Large-deviations of the SIR model around the epidemic threshold
• Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
• Infection-induced Cascading Failures -- Impact and Mitigation
• The politics of physicists social models
• Emergent information dynamics in many-body interconnected systems
• NFTracer: Tracing NFT Impact Dynamics in Transaction-flow Substitutive Systems with Visual Analytics
• Critical behavior of the diffusive susceptible-infected-recovered model
• Heterogeneous mean-field theory for two-species symbiotic processes on networks
• Effects of clustering heterogeneity on the spectral density of sparse networks
• Decoupling approximation robustly reconstructs directed dynamical networks
• Scalar model of flocking dynamics on complex social networks
• Coupling between COVID-19 and seasonal influenza leads to synchronization of their dynamics
• Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks
• Centralities in complex networks
• Network rewiring in the $r$-$K$ plane
• Predicting epidemic evolution on contact networks from partial observations
• Analysis of the competition among viral strains using a temporal interaction-driven contagion model
• On-Site Potential Creates Complexity in Systems with Disordered Coupling
• A simple statistical physics model for the epidemic with incubation period
• Dynamical correlations and pairwise theory for the symbiotic contact process on networks
• SIS model of disease extinction on heterogeneous directed population networks
• Estimating the number of communities in weighted networks
• Universality of the SIS prevalence in networks
• Epidemics in a Synthetic Urban Population with Multiple Levels of Mixing
• Model-free hidden geometry of complex networks
• Impact of individual actions on the collective response of social systems
• Role of hubs in the synergistic spread of behavior
• The Epidemic-Driven Collapse in a System with Limited Economic Resource
• Structural classification of continuous time Markov chains with applications
• Degree dependent transmission rates in epidemic processes
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• Susceptible-infected-susceptible model on networks with eigenvector localization
• Tricritical behavior in epidemic dynamics with vaccination
• Double transitions and hysteresis in heterogeneous contagion processes
• Asymmetry of social interactions and its role in link predictability: the case of coauthorship networks
• The end time of SIS epidemics driven by random walks on edge-transitive graphs
• Epidemic dynamics on metapopulation networks with node2vec mobility
• Dynamic Vaccination Game in a Heterogeneous Mixing Population
• Universality in survivor distributions: Characterising the winners of competitive dynamics
• Temporal clustering of social interactions trades-off disease spreading and knowledge diffusion
• Synergistic epidemic spreading in correlated networks
• Impact of human-human contagions in the spread of vector-borne diseases
• Efficient network exploration by means of resetting self-avoiding random walkers
• Stochastic Block Models are a Discrete Surface Tension
• Degree product rule tempers explosive percolation in the absence of global information
• Complexity and irreducibility of dynamics on networks of networks
• Influence Maximization: Divide and Conquer
• Rejection-Based Simulation of Non-Markovian Agents on Complex Networks
• Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix
• The Role of Geographic Spreaders in Infectious Pattern Formation and Front Propagation Speeds
• Emergence of synergistic and competitive pathogens in a co-evolutionary spreading mode
• Peak fraction of infected in epidemic spreading for multi-community networks
• Temporal scaling theory for bursty time series with clusters of arbitrarily many events
• Stochastic resetting in a networked multiparticle system with correlated transitions
• Barrier-Controlled Non-Equilibrium Criticality in Reactive Particle Systems
• Predicting Nodal Influence via Local Iterative Metrics
• The impact of social noise on the majority rule model across various network topologies
• Genetic Algorithm for Epidemic Mitigation by Removing Relationships
• Path-dependent course of epidemic: are two phases of quarantine better than one?
• Generation of scale-free assortative networks via Newman rewiring for simulation of diffusion phenomena
• Modeling disease spreading with adaptive behavior considering local and global information dissemination
• Deterministic Random Walk Model in NetLogo and the Identification of Asymmetric Saturation Time in Random Graph
• Compression-based inference of network motif sets
• A generic coupling between internal states and activity leads to activation fronts and criticality in active systems
• Detecting and modelling real percolation and phase transitions of information on social media
• Predicting Dynamics on Networks Hardly Depends on the Topology
• Thermally activated intermittent flow in amorphous solids
• On the sum of chemical reactions
• Generating surrogate temporal networks from mesoscale building blocks
• Observing network dynamics through sentinel nodes
• p-star models, mean field random networks and the heat hierarchy
• Scaling and universality for percolation in random networks: A unified view
• Spontaneous repulsion in the $A+B\to 0$ reaction on coupled networks
• A Parrondo paradox in susceptible-infectious-susceptible dynamics over periodic temporal networks
• Die-out Probability in SIS Epidemic Processes on Networks
• Mitigating Biological Epidemic on Heterogeneous Social Networks
• Anomalous Contagion and Renormalization in Dynamical Networks with Nodal Mobility
• Observability transitions in clustered networks
• Effect of time-dependent infectiousness on epidemic dynamics
• Effect of Burstiness on the Air Transportation System
• Joint Cyber Risk Assessment of Network Systems with Heterogeneous Components
• Simulating the Spread of Infection in Networks with Quantum Computers
• Learning Interpretable Collective Variables for Spreading Processes on Networks
• Network generation and evolution based on spatial and opinion dynamics components
• Temporal Dynamics of Connectivity and Epidemic Properties of Growing Networks
• Correlation networks from random walk time series
• Epidemic spreading in an expanded parameter space: the supercritical scaling laws and subcritical metastable phases
• Metapopulation models imply non-Poissonian statistics of interevent times
• Generating functions for message-passing on weighted networks: directed bond percolation and SIR epidemics
• Dropping mortality by increasing connectivity in plant epidemics
• Random walk in degree space and the time-dependent Watts-Strogatz model
• The asymptotic tails of limit distributions of continuous time Markov chains
• Degree-Ordered-Percolation on uncorrelated networks
• A non-absorbing SIR stochastic lattice gas model on hybrid lattices
• A branching random-walk model of disease outbreaks and the percolation backbone
• Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios
• Network Diffusions via Neural Mean-Field Dynamics
• Aging and equilibration in bistable contagion dynamics
• Theory of Critical Phenomena with Memory
• Degree distributions under general node removal: Power-law or Poisson?
• Characterizing spatial point processes by percolation transitions
• Deep learning reveals hidden interactions in complex systems
• Copula-based analysis of the generalized friendship paradox in clustered networks
• The power of dynamic social networks to predict individuals' mental health
• Biased versus unbiased numerical methods for stochastic simulations
• Small-Coupling Dynamic Cavity: a Bayesian mean-field framework for epidemic inference
• Strength and weakness of disease-induced herd immunity in networks
• Dynamical processes on metric networks
• The big bang of an epidemic
• Diffusion on assortative networks: from mean-field to agent-based, via Newman rewiring
• Teleportation fidelity of quantum repeater networks
• Multilayer networks describing interactions in urban systems: a digital twin of five cities in Spain
• Correlation between transition probability and network structure in epidemic model
• Modeling resource consumption in the US air transportation system via minimum-cost percolation
• Epidemic threshold and localization of the SIS model on directed complex networks
• Evaluating the role of risk networks on risk identification, classification and emergence
• Adaptive Epidemic Dynamics on Hypergraphs with Group-Level Immunization and Rewiring
• Network-Driven Global Stability Analysis: SVIRS Epidemic Model
• Validity of annealed approximation in a high-dimensional system
• Large Fluctuations in Anti-Coordination Games on Scale-Free Graphs
• Optimising the mitigation of epidemic spreading through targeted adoption of contact tracing apps
• On the dual nature of adoption processes in complex networks
• Renormalization group study of superfluid phase transition: effect of compressibility
• Tracking the time course of reproduction number and lockdown's effect during SARS-CoV-2 epidemic: nonparametric estimation
• Heterogeneity in Outcomes of Repeated Instances of Percolation Experiments
• Contribution of hidden modes to nonlinear epidemic dynamics in urban human proximity networks
• Structural patterns of information cascades and their implications for dynamics and semantics
• Influence of individual nodes for continuous-time Susceptible-Infected-Susceptible dynamics on synthetic and real-world networks
• The Atlas for the Aspiring Network Scientist
• Optimal Containment of Epidemics over Temporal Activity-Driven Networks
• Decision-Making Frameworks for Network Resilience -- Managing and Mitigating Systemic (Cyber) Risk
• Spatial dynamics of synergistic coinfection in rock-paper-scissors models
• Epidemic extinction in a simplicial susceptible-infected-susceptible model
• Superspreaders and High Variance Infectious Diseases
• Representation of degree correlation using eigenvalue decomposition and its application to epidemic models
• Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting
• Exact rank-reduction of network models
• Multivariate Generating Functions for Information Spread on Multi-Type Random Graphs
• A Time-Vertex Signal Processing Framework
• Disordered configurations of the Glauber model in two-dimensional networks
• Critical avalanches of Susceptible-Infected-Susceptible dynamics in finite networks
• Epidemic spreading and herd immunity in a driven non-equilibrium system of strongly-interacting atoms
• Identifying the structure patterns to govern the performance of localization in regulating innovation diffusion
• Weights Adaptation Optimization of Heterogeneous Epidemic Spreading Networks: A Constrained Cooperative Coevolution Strategy
• Relaxation dynamics of maximally clustered networks
• Analytical approach to the generalized friendship paradox in networks with correlated attributes
• Not Call Me Cellular Any More: The Emergence of Scaling Law, Fractal Patterns and Small-World in Wireless Networks
• Epidemic Thresholds of Infectious Diseases on Tie-Decay Networks
• Pulse strategy for suppressing spreading on networks
• Interplay between exogenous triggers and endogenous behavioral changes in contagion processes on social networks
• Identifying influential subpopulations in metapopulation epidemic models using message-passing theory
• Stochasticity of infectious outbreaks and consequences for optimal interventions
• Optimal Design of Networks of Positive Linear Systems under Stochastic Uncertainty
• Limits of Friendship Networks in Predicting Epidemic Risk
• Recent trends in socio-epidemic modelling: behaviours and their determinants
• Influence Prediction for Continuous-Time Information Propagation on Networks
• Analytical Mechanics Allows Novel Vistas on Mathematical Epidemic Dynamics Modelling
• Multiple Node Immunisation for Preventing Epidemics on Networks by Exact Multiobjective Optimisation of Cost and Shield-Value
• A node-based SIRS epidemic model with infective media on complex networks
• The influence of active agent motility on SIRS epidemiological dynamics
• SIS Epidemics in Multilayer-based Temporal Networks
• The Co-evolution of Cooperation and Epidemic Spreading
• Long-time asymptotics of stochastic reaction systems
• Adaptive behaviors neutralize bistable explosive transitions in higher-order contagion
• Epidemic risk perception and social interactions lead to awareness cascades on multiplex networks
• Crossover from mean-field to $2d$ Directed Percolation in the contact process
• Higher-order adaptive behaviors outperform pairwise strategies in mitigating contagion dynamics
• Can Spatiality Promote Diversity?
• Effect of lockdown interventions to control the COVID-19 epidemic in India
• Pandemic Spread in Communities via Random Graphs
• Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs
• Comparison of theoretical approaches for epidemic processes with waning immunity in complex networks
• Event-Triggered Control for Mitigating SIS Spreading Processes
• On the Role of Asymptomatic Carriers in Epidemic Spread Processes
• Localization of nonbacktracking centrality on dense subgraphs of sparse networks
• Quantum magnetism on small-world networks
• A survey on modelling of infectious disease spread and control on social contact networks
• Upper Bounds on Overshoot in SIR Models with Nonlinear Incidence
• Combinatorial approach to spreading processes on networks
• Far-reaching consequences of trait preferences for animal social network structure and function
• Optimal Curing Strategy for Competing Epidemics Spreading over Complex Networks
• Game-Theoretic Choice of Curing Rates Against Networked SIS Epidemics by Human Decision-Makers
• Discovering hidden layers in quantum graphs
• Efficient parameter inference in networked dynamical systems via steady states: A surrogate objective function approach integrating mean-field and nonlinear least squares
• Large deviation and anomalous fluctuations scaling in degree assortativity on configuration networks
• Network reconstruction may not mean dynamics prediction
• A Network Epidemic Model for Online Community Commissioning Data
• Assessing the Impact of Social Network Structure on the Diffusion of Coronavirus Disease (COVID-19): A Generalized Spatial SEIRD Model
• Effect of antibody levels on the spread of disease in multiple infections
• Spreading Processes over Socio-Technical Networks with Phase-Type Transmissions
• Impact of Indirect Contacts in Emerging Infectious Disease on Social Networks
• Agent-based Monte Carlo simulations for reaction-diffusion models, population dynamics, and epidemic spreading
• Genotype networks drive oscillating endemicity and epidemic trajectories in viral evolution
• Effective one-dimension reduction of multi-compartment complex systems dynamics
• Herd Immunity with Spatial Adaptation Based on Global Prevalence Information
• Critical behavior of the stochastic SIR model on random bond-diluted lattices
• The effect of role-based resource allocation on epidemic dynamics
• Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
• Meta-plasticity and memory in multi-level recurrent feed-forward networks
• Predicting the Oscillatory Regimes of Global Synchrony Induced by Secondary Clusters
• Global hierarchy vs. local structure: spurious self-feedback in scale-free networks
• Nonequilibrium phase transitions in a racism-spreading model with interaction-driven dynamics
• Random walk with multiple memory channels: a new paradigm
• Coprime networks of the composite numbers: pseudo-randomness and synchronizability
• A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks
• Tensor product algorithms for inference of contact network from epidemiological data
• Identifying influential patents in citation networks using enhanced VoteRank centrality
• Adaptive Diffusion Processes of Time-Varying Local Information on Networks
• Geometric Programming for Optimal Positive Linear Systems
• A discount strategy in word-of-mouth marketing and its assessment
• A nonlocal model of epidemic network with nonlimited transmission: Global existence and uniqueness
• Effective vaccination strategy using graph neural network ansatz
• Epidemics on evolving networks with varying degrees
• Impact of fluctuations in social contacts on the spread of epidemics
• Flux of information in scale-free networks
• Network Inference from Population-Level Observation of Epidemics
• Understanding the householder solar panel consumer: A Markovian model and its societal implications
• A rigorous and efficient approach to finding and quantifying symmetries in complex networks
• Cost-Optimal Switching Protection Strategy in Adaptive Networks
• Dynamical Methods for Target Control of Biological Networks
• Epidemic oscillations induced by social network control: the discontinuous case
• Methodology for Mining, Discovering and Analyzing Semantic Human Mobility Behaviors
• Asymmetrically interacting dynamics with mutual confirmation from multi-source on multiplex networks
• Graph Hierarchy: A novel approach to understanding hierarchical structures in complex networks
• Propagation of chaos and Poisson Hypothesis for replica mean-field models of intensity-based neural networks
• Dynamics of continuous time Markov chains with applications
• Monitoring behavioural responses during pandemic via reconstructed contact matrices from online and representative surveys
• Exact epidemic models from a tensor product formulation
• Spreader events and the limitations of projected networks for capturing dynamics on multipartite networks
• Identifying Influential Links for Event Propagation on Twitter: A Network of Networks Approach
• Multiple predator based capture process on complex networks
• Dimensional Reduction of Solvency Contagion Dynamics on Financial Networks
• External field and critical exponents in controlling dynamics on complex networks
• Non-equilibrium random walks on multiplex networks
• Simulated identification of epidemic threshold on finite-size networks
• Tracking Time-Vertex Propagation using Dynamic Graph Wavelets
• Maximizing spreading in complex networks with risk in node activation
• Super-Spreaders Out, Super-Spreading In: The Effects of Infectiousness Heterogeneity and Lockdowns on Herd Immunity
• Estimation of the Epidemic Branching Factor in Noisy Contact Networks
• COVID 19, a realistic model for saturation, growth and decay of the India specific disease
• Flocking dynamics mediated by weighted social networks
• Containment effort reduction and regrowth patterns of the Covid-19 spreading
• Contact Process on Weighted Planar Stochastic Lattice
• Tropical approximation to finish time of activity networks
• Locating influential nodes via dynamics-sensitive centrality
• Lowest Degree Decomposition of Complex Networks
• Information Spreading Dynamics on Adaptive Social Networks
• Feature Learning and Network Structure from Noisy Node Activity Data
• Flocking and spreading dynamics in populations of self-propelled agents
• How contact patterns destabilize and modulate epidemic outbreaks
• Statistical inference for unknown parameters of stochastic SIS epidemics on complete graphs
• Hierarchical Coarse-grained Approach to the Duration-dependent Spreading Dynamics in Complex Networks
• Applicability of spatial early warning signals to complex network dynamics
• How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks
• Evanescent random walker on networks: Hitting times, budget renewal, and survival dynamics
• Inferring Tree Structure with Hidden Traps from First Passage Times
• A Behavioral Analysis on the Reselection of Seed Nodes in Independent Cascade Based Influence Maximization
• Many-body methods in agent-based epidemic models
• Estimating the covariance structure of heterogeneous SIS epidemics on networks
• Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts
• Molecular Communications at the Macroscale: A Novel Framework for Modeling Epidemic Spreading and Mitigation
• From random point processes to hierarchical Cavity Master Equations for the stochastic dynamics of disordered systems in Random Graphs: Ising models and epidemics
• Improving the accuracy of the k-shell method by removing redundant links-from a perspective of spreading dynamics
• The Accuracy of Mean-Field Approximation for Susceptible-Infected-Susceptible Epidemic Spreading
• Balancing conservative and disruptive growth in the voter model
• Epidemics on critical random graphs with heavy-tailed degree distribution
• Link prediction on multi-relational graphs from an influence propagation perspective
• Slow relaxation dynamics and aging in random walks on activity driven temporal networks
• On the Accuracy of Deterministic Models for Viral Spread on Networks
• Activity Dynamics in Collaboration Networks
• Synergistic effects in threshold models on networks
• Phase transitions for polyadic epidemic and voter models with multiscale groups
• Exploring the space of graphs with fixed discrete curvatures
• Effects of lattice dilution on the non-equilibrium phase transition in the stochastic Susceptible-Infectious-Recovered model
• Parameter Estimation in Epidemic Spread Networks Using Limited Measurements
• Analyzing the Design Space of Re-opening Policies and COVID-19 Outcomes in the US
• Universal features of epidemic and vaccine models
• Modeling Multistability and Hysteresis in Urban Congestion Spreading
• Multiplex mobility network and metapopulation epidemic simulations of Italy based on Open Data
• Prophylaxis of Epidemic Spreading with Transient Dynamics
• Optimal Control of Joint Multi-Virus Infection and Information Spreading
• Geometric characterization of SARS-CoV-2 pandemic events
• A stochastic geospatial epidemic model and simulation using an event modulated Gillespie algorithm
• Four-tier response system and spatial propagation of COVID-19 in China by a network model
• Mapping structural diversity in networks sharing a given degree distribution and global clustering: Adaptive resolution grid search evolution with Diophantine equation-based mutations
• Nonequilibrium steady-state dynamics of Markov processes on graphs
• The advantage of self-protecting interventions in mitigating epidemic circulation at the community level
• Optimal control of a kinetic model describing social interactions on a graph
• The SIS Competition Model for Conflicting Rumors
• Household Bubbling Strategies for Epidemic Control and Social Connectivity
• The effect of delayed awareness and fatigue on the efficacy of self-isolation in epidemic control
• Crash dynamics of interdependent networks
• Dynamics of epidemic models from cavity master equations
• Extended Yard Sale model of wealth distribution on Erdős-Rényi random networks
• Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs
• Effects of concurrency on epidemic spreading in Markovian temporal networks
• Direct Observation of Quantum Percolation Dynamics
• Discrimination universally determines reconstruction of multiplex networks
• Anomalous percolation transitions beyond the BKT transition in growing networks
• Nonuniversal critical dynamics on planar random lattices with heterogeneous degree distributions
• Resource Allocation for Containing Epidemics from Temporal Network Data
• Trade-Off Between Multiplicity and Specificity in the Inter-layer Connectivity of non-identical Multilayer Networks
• The spreading ability of nodes towards localized targets in complex networks
• Impacts of bridging nodes on the epidemic activation mechanisms
• The spatial dissemination of COVID-19 and associated socio-economic consequences
• Link Cascades in Complex Networks: A Mean-field Approach
• Zero-temperature dynamics of the spherical model with non-reciprocal interactions
• Higher-order contagion processes in 3.99 dimensions
• Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs
• Local vs. long-range infection in unidimensional epidemics
• On bounding exact models of epidemic spread on networks
• Spreading processes in "post-epidemic" environments. II. Safety patterns on scale-free networks
• Migration-Contagion Processes
• Transmission Neural Networks: Approximation and Optimal Control
• Universality classes in the time evolution of epidemic outbreaks on complex networks
• Contagion-diffusion processes with recurrent mobility patterns of distinguishable agents
• Competing spreading dynamics in simplicial complex
• Optimizing Graph Structure for Targeted Diffusion
• Influence Estimation and Maximization via Neural Mean-Field Dynamics
• Game-Theoretic Vaccination Against Networked SIS Epidemics and Impacts of Human Decision-Making
• Tracing Networks of Knowledge in the Digital Age
• Synergistic Effects in Networked Epidemic Spreading Dynamics
• Markov chain approach to anomalous diffusion on Newman-Watts networks
• Statistical properties of COVID-19 transmission intervals in Republic of Korea
• Diseases on complex networks. Modeling from a database and a protection strategy proposal
• A Jump Stochastic Differential Equation Approach for Influence Prediction on Information Propagation Networks
• The social graph based on real data
• Robust subgraph counting with distribution-free random graph analysis
• Inference in Spreading Processes with Neural-Network Priors
• Annealed mean-field epidemiological model on scale-free networks with a mitigating factor
• Temporal similarity metrics for latent network reconstruction: The role of time-lag decay
• Two-population SIR model and strategies to reduce mortality in pandemics
• Spreading processes with a unique absorbing state and finite lifetime of populations
• Simulation of emergence in artificial societies: a practical model-based approach with the EB-DEVS formalism
• Optimally Targeting Interventions in Networks during a Pandemic: Theory and Evidence from the Networks of Nursing Homes in the United States
• Urn models with random multiple drawing and random addition
• Consistent Approximation of Epidemic Dynamics on Degree-heterogeneous Clustered Networks
• Emergence of Scaling in Complex Substitutive Systems
• Diagonal degree correlations vs. epidemic threshold in scale-free networks
• Impact of behavioral heterogeneity on epidemic outcome and its mapping into effective network topologies
• A Mean-Field Team Approach to Minimize the Spread of Infection in a Network
• Directionality reduces the impact of epidemics in multilayer networks
• Systemic Interbank Network Risks in Russia
• Diffusion on dynamic contact networks with indirect transmission links
• Evolution of the Global Risk Network Mean-Field Stability Point
• From Agent-Based Markov Dynamics to Hierarchical Closures on Networks: Emergent Complexity and Epidemic Applications
• The Limits of Inference in Complex Systems: When Stochastic Models Become Indistinguishable
• Epidemics with asymptomatic transmission: Sub-critical phase from recursive contact tracing
• Group centrality in optimal and suboptimal vaccination for epidemic models in contact networks
• Ensemble approach for generalized network dismantling
• Anomalous finite-size scaling in higher-order processes with absorbing states
• From Market Saturation to Social Reinforcement: Understanding the Impact of Non-Linearity in Information Diffusion Models
• Teleportation Fidelity of Binary Tree Quantum Repeater Networks