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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• Explosive Phase Transition in a Majority-Vote Model with Inertia
• Directed Percolation in Random Temporal Network Models with Heterogeneities
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• Epidemics on networks with heterogeneous population and stochastic infection rates
• Topological dimension tunes activity patterns in hierarchical modular network models
• Convergence towards an Erd{\H o}s-Rényi graph structure in network contraction processes
• Influence Maximization for Fixed Heterogeneous Thresholds
• Dynamics of multilayer networks with amplification
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• Node Immunization with Non-backtracking Eigenvalues
• Impact of origin-destination information in epidemic spreading
• Solvable epidemic model on degree-correlated networks
• Large order fluctuations, switching, and control in complex networks
• Mean-field theory for double-well systems on degree-heterogeneous networks
• Extended-range percolation in complex networks
• The structural evolution of temporal hypergraphs through the lens of hyper-cores
• Effective Resistance for Pandemics: Mobility Network Sparsification for High-Fidelity Epidemic Simulation
• Modelling indirect interactions during failure spreading in a project activity network
• The Bass diffusion model: agent-based implementation on arbitrary networks
• Dynamical universality of the contact process
• Stability of SIS Spreading Processes in Networks with Non-Markovian Transmission and Recovery
• Competition, Collaboration, and Optimization in Multiple Interacting Spreading Processes
• Reactive immunization on complex networks
• Dynamical robustness of complex networks subject to long-range connectivity
• Inferring Spatial Source of Disease Outbreaks using Maximum Entropy
• Temporal disorder in discontinuous non-equilibrium phase transitions: general results
• Structural Complexity Of Quantum Networks
• Approximating quasi-stationary behaviour in network-based SIS dynamics
• Fast computation method for comprehensive agent-level epidemic dissemination in networks
• Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter Models
• Predictive modelling of disease propagation in a mobile, connected community
• The Opacity Problem in Social Contagion
• Logistic growth on networks: exact solutions for the SI model
• The symbiotic contact process: phase transitions, hysteresis cycles, and bistability
• Switchover phenomenon induced by epidemic seeding on geometric networks
• A Reputation Game Simulation: Emergent Social Phenomena from Information Theory
• Emergence of event cascades in inhomogeneous networks
• Improved Bounds on the Epidemic Threshold of Exact SIS Models on Complex Networks
• Multilayer modeling of adoption dynamics in energy demand management
• Percolation on spatial anisotropic networks
• Asymptotic absorption-time distributions in extinction-prone Markov processes
• Moving the epidemic tipping point through topologically targeted social distancing
• Cyber Network Resilience against Self-Propagating Malware Attacks
• Threshold cascade dynamics on coevolving networks
• Analytical study of quality-biased competition dynamics for memes in social media
• Adaptive altruistic strategy in cyclic models during an epidemic
• The structure of networks that evolve under a combination of growth, via node addition and random attachment, and contraction, via random node deletion
• Optimization of coupling and global collapse in diffusively coupled socio-ecological resource exploitation networks
• Rumor propagation meets skepticism: a parallel with zombies
• Lumping of Degree-Based Mean Field and Pair Approximation Equations for Multi-State Contact Processes
• Bounds of memory strength for power-law series
• Saturation Effects and the Concurrency Hypothesis: Insights from an Analytic Model
• Epidemic spreading in group-structured populations
• Quenched mean-field theory for the majority-vote model on complex networks
• Disease spreading with social distancing: A prevention strategy in disordered multiplex networks
• Synchronization Invariance Under Network Structural Transformations
• Measuring nodes centrality when local and global measures overlap
• Non-linear network dynamics with consensus-dissensus bifurcation
• A minimal model for adaptive SIS epidemics
• Hashkat: Large-scale simulations of online social networks
• Critical phenomena of a hybrid phase transition in cluster merging dynamics
• Fast asynchronous updating algorithms for k-shell indices
• Algorithmic complexity of multiplex networks
• Effective medium approximation for lattice random walks with long-range jumps
• Analytical results for the distribution of cover times of random walks on random regular graphs
• Effect of network clustering on mutually cooperative coinfections
• Non-universal power-law dynamics of SIR models on hierarchical modular networks
• Descendant distributions for the impact of mutant contagion on networks
• Filtering higher-order datasets
• Adaptive survival movement strategy to local epidemic outbreaks in cyclic models
• A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
• Effects of Time Horizons on Influence Maximization in the Voter Dynamics
• Estimating epidemic arrival times using linear spreading theory
• Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Spread of variants of epidemic disease based on the microscopic numerical simulations on networks
• Social Network Fusion and Mining: A Survey
• Predicting the diversity of early epidemic spread on networks
• Effect of overlap on spreading dynamics on multiplex networks
• Understanding the temporal pattern of spreading in heterogeneous networks: Theory of the mean infection time
• Network localization is unalterable by infections in bursts
• A realistic agent-based simulation model for COVID-19 based on a traffic simulation and mobile phone data
• Stylized facts in social networks: Community-based static modeling
• Jensen's force and the statistical mechanics of cortical asynchronous states
• Sudden spreading of infections in an epidemic model with a finite seed fraction
• Asymmetric disease dynamics in multihost interconnected networks
• Evolution of Threats in the Global Risk Network
• Analytical and cellular automaton approach to a generalized SEIR model for infection spread in an open crowded space
• Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks
• Multistage onset of epidemics in heterogeneous networks
• Coexistence of positive and negative information in information-epidemic dynamics on multiplex networks
• Knowledge Cores in Large Formal Contexts
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• 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
• On the efficiency of decentralized epidemic management and application to Covid-19
• Optimal information diffusion in stochastic block models
• Type reproduction number for epidemic models on heterogeneous networks
• Effective submodularity of influence maximization on temporal networks
• Spreading processes in "post-epidemic" environments
• Influence maximization in noisy networks
• Targeted Recovery as an Effective Strategy against Epidemic Spreading
• Zoo Guide to Network Embedding
• Accelerating coordination in temporal networks by engineering the link order
• Unifying information propagation models on networks and influence maximization
• The Contact Process on Random Graphs and Galton-Watson Trees
• Simple quasistationary method for simulations of epidemic processes with localized states
• Complexity of Government response to Covid-19 pandemic: A perspective of coupled dynamics on information heterogeneity and epidemic outbreak
• Two golden times in two-step contagion models
• Self-organization of network dynamics into local quantized states
• The statistical physics of discovering exogenous and endogenous factors in a chain of events
• Duality between predictability and reconstructability in complex systems
• Rare events in networks with internal and external noise
• Collapse transition in epidemic spreading subject to detection with limited resources
• Measures and Optimization for Robustness and Vulnerability in Disconnected Networks
• Interactions in information spread: quantification and interpretation using stochastic block models
• Stochastic epidemic dynamics on extremely heterogeneous networks
• A Stochastic Differential Equation Framework for Guiding Online User Activities in Closed Loop
• Empirical study of the role of the topology in spreading on communication networks
• Bifurcations in synergistic epidemics on random regular graphs
• First passage in discrete-time absorbing Markov chains under stochastic resetting
• Delocalization-localization dynamical phase transition of random walks on graphs
• DyANE: Dynamics-aware node embedding for temporal networks
• Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
• The Diffusive Epidemic Process on Barabasi-Albert Networks
• Influence of Information Blocking on the Spread of Virus in Multilayer Networks
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• Characteristic scales and adaptation in higher-order contagions
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• Deep learning based parameter search for an agent based social network model
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• The impact of network properties and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective
• Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model
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• Parameterizing Network Graph Heterogeneity using a Modified Weibull Distribution
• Endemic infectious states below the epidemic threshold and beyond herd immunity
• Impact of random and targeted disruptions on information diffusion during outbreaks
• Finite-time scaling for epidemic processes with power-law superspreading events
• Bayes-optimal inference for spreading processes on random networks
• Approximation methods for the stability of complete synchronization on duplex networks
• Effectiveness of Contact Tracing on Networks with Cliques
• Network Reconstruction and Prediction of Epidemic Outbreaks for NIMFA Processes
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• Information Evolution in Complex Networks
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• Empirical analysis of congestion spreading in Seoul traffic network
• Social adaptive behavior and oscillatory prevalence in an epidemic model on evolving random geometric graphs
• After 2018 Bolsonaro victory, is a 2022 remake feasible?
• Dynamic phase transition theory
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• Correlations between thresholds and degrees: An analytic approach to model attacks and failure cascades
• Nonlinear signaling on biological networks: the role of stochasticity and spectral clustering
• Exponential rate of epidemic spreading on complex networks
• Centralities in complex networks
• Decoupling approximation robustly reconstructs directed dynamical networks
• Coupling between COVID-19 and seasonal influenza leads to synchronization of their dynamics
• Characterizing cycle structure in complex networks
• Effects of clustering heterogeneity on the spectral density of sparse networks
• Large-deviations of the SIR model around the epidemic threshold
• Models of Continuous-Time Networks with Tie Decay, Diffusion, and Convection
• Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks
• Shadows of the SIS immortality transition in small networks
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Heterogeneous mean-field theory for two-species symbiotic processes on networks
• Infection-induced Cascading Failures -- Impact and Mitigation
• Critical behavior of the diffusive susceptible-infected-recovered model
• Predicting epidemic evolution on contact networks from partial observations
• Network rewiring in the $r$-$K$ plane
• Dynamic Network Prediction
• Emergent information dynamics in many-body interconnected systems
• Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
• Modeling and Control of Epidemics through Testing Policies
• Scalar model of flocking dynamics on complex social networks
• NFTracer: Tracing NFT Impact Dynamics in Transaction-flow Substitutive Systems with Visual Analytics
• Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks
• Preserving system activity while controlling epidemic spreading in adaptive temporal networks
• The politics of physicists social models
• Some aspects of the Markovian SIRS epidemic on networks and its mean-field approximation
• On-Site Potential Creates Complexity in Systems with Disordered Coupling
• Universality of the SIS prevalence in networks
• Model-free hidden geometry of complex networks
• Efficient network exploration by means of resetting self-avoiding random walkers
• Epidemics in a Synthetic Urban Population with Multiple Levels of Mixing
• Impact of individual actions on the collective response of social systems
• Temporal clustering of social interactions trades-off disease spreading and knowledge diffusion
• Asymmetry of social interactions and its role in link predictability: the case of coauthorship networks
• Tricritical behavior in epidemic dynamics with vaccination
• Estimating the number of communities in weighted networks
• SIS model of disease extinction on heterogeneous directed population networks
• Influence Maximization: Divide and Conquer
• Analysis of the competition among viral strains using a temporal interaction-driven contagion model
• Epidemic dynamics on metapopulation networks with node2vec mobility
• Synergistic epidemic spreading in correlated networks
• Double transitions and hysteresis in heterogeneous contagion processes
• Degree dependent transmission rates in epidemic processes
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• Structural classification of continuous time Markov chains with applications
• The Epidemic-Driven Collapse in a System with Limited Economic Resource
• A simple statistical physics model for the epidemic with incubation period
• Rejection-Based Simulation of Non-Markovian Agents on Complex Networks
• Dynamical correlations and pairwise theory for the symbiotic contact process on networks
• The end time of SIS epidemics driven by random walks on edge-transitive graphs
• Dynamic Vaccination Game in a Heterogeneous Mixing Population
• Role of hubs in the synergistic spread of behavior
• Complexity and irreducibility of dynamics on networks of networks
• Stochastic Block Models are a Discrete Surface Tension
• Impact of human-human contagions in the spread of vector-borne diseases
• Degree product rule tempers explosive percolation in the absence of global information
• Susceptible-infected-susceptible model on networks with eigenvector localization
• Universality in survivor distributions: Characterising the winners of competitive dynamics
• Temporal Dynamics of Connectivity and Epidemic Properties of Growing Networks
• Peak fraction of infected in epidemic spreading for multi-community networks
• Modeling disease spreading with adaptive behavior considering local and global information dissemination
• Barrier-Controlled Non-Equilibrium Criticality in Reactive Particle Systems
• Compression-based inference of network motif sets
• Predicting Dynamics on Networks Hardly Depends on the Topology
• The Role of Geographic Spreaders in Infectious Pattern Formation and Front Propagation Speeds
• Observability transitions in clustered networks
• Emergence of synergistic and competitive pathogens in a co-evolutionary spreading mode
• Generation of scale-free assortative networks via Newman rewiring for simulation of diffusion phenomena
• Anomalous Contagion and Renormalization in Dynamical Networks with Nodal Mobility
• p-star models, mean field random networks and the heat hierarchy
• On the sum of chemical reactions
• Effect of time-dependent infectiousness on epidemic dynamics
• The impact of social noise on the majority rule model across various network topologies
• Generating surrogate temporal networks from mesoscale building blocks
• Temporal scaling theory for bursty time series with clusters of arbitrarily many events
• Predicting Nodal Influence via Local Iterative Metrics
• Learning Interpretable Collective Variables for Spreading Processes on Networks
• Die-out Probability in SIS Epidemic Processes on Networks
• Observing network dynamics through sentinel nodes
• Detecting and modelling real percolation and phase transitions of information on social media
• Thermally activated intermittent flow in amorphous solids
• Stochastic resetting in a networked multiparticle system with correlated transitions
• Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix
• Mitigating Biological Epidemic on Heterogeneous Social Networks
• Effect of Burstiness on the Air Transportation System
• Deterministic Random Walk Model in NetLogo and the Identification of Asymmetric Saturation Time in Random Graph
• Scaling and universality for percolation in random networks: A unified view
• Path-dependent course of epidemic: are two phases of quarantine better than one?
• Simulating the Spread of Infection in Networks with Quantum Computers
• A generic coupling between internal states and activity leads to activation fronts and criticality in active systems
• Network generation and evolution based on spatial and opinion dynamics components
• Genetic Algorithm for Epidemic Mitigation by Removing Relationships
• A Parrondo paradox in susceptible-infectious-susceptible dynamics over periodic temporal networks
• Joint Cyber Risk Assessment of Network Systems with Heterogeneous Components
• Spontaneous repulsion in the $A+B\to 0$ reaction on coupled networks
• Epidemic threshold and localization of the SIS model on directed complex networks
• 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
• Validity of annealed approximation in a high-dimensional system
• Modeling resource consumption in the US air transportation system via minimum-cost percolation
• Network-Driven Global Stability Analysis: SVIRS Epidemic Model
• Adaptive Epidemic Dynamics on Hypergraphs with Group-Level Immunization and Rewiring
• Epidemic spreading in an expanded parameter space: the supercritical scaling laws and subcritical metastable phases
• Structural patterns of information cascades and their implications for dynamics and semantics
• Large Fluctuations in Anti-Coordination Games on Scale-Free Graphs
• The Atlas for the Aspiring Network Scientist
• Influence of individual nodes for continuous-time Susceptible-Infected-Susceptible dynamics on synthetic and real-world networks
• Aging and equilibration in bistable contagion dynamics
• Heterogeneity in Outcomes of Repeated Instances of Percolation Experiments
• 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
• Correlation networks from random walk time series
• Tracking the time course of reproduction number and lockdown's effect during SARS-CoV-2 epidemic: nonparametric estimation
• Network Diffusions via Neural Mean-Field Dynamics
• 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
• Contribution of hidden modes to nonlinear epidemic dynamics in urban human proximity networks
• Theory of Critical Phenomena with Memory
• Renormalization group study of superfluid phase transition: effect of compressibility
• Degree distributions under general node removal: Power-law or Poisson?
• On the dual nature of adoption processes in complex networks
• Degree-Ordered-Percolation on uncorrelated networks
• The power of dynamic social networks to predict individuals' mental health
• Characterizing spatial point processes by percolation transitions
• Copula-based analysis of the generalized friendship paradox in clustered networks
• The asymptotic tails of limit distributions of continuous time Markov chains
• Deep learning reveals hidden interactions in complex systems
• Random walk in degree space and the time-dependent Watts-Strogatz model
• 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
• Optimising the mitigation of epidemic spreading through targeted adoption of contact tracing apps
• Evaluating the role of risk networks on risk identification, classification and emergence
• Dynamical processes on metric networks
• The big bang of an epidemic
• A Network Epidemic Model for Online Community Commissioning Data
• Adaptive behaviors neutralize bistable explosive transitions in higher-order contagion
• Weights Adaptation Optimization of Heterogeneous Epidemic Spreading Networks: A Constrained Cooperative Coevolution Strategy
• Higher-order adaptive behaviors outperform pairwise strategies in mitigating contagion dynamics
• Combinatorial approach to spreading processes on networks
• Effect of antibody levels on the spread of disease in multiple infections
• Comparison of theoretical approaches for epidemic processes with waning immunity in complex networks
• Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs
• Identifying influential subpopulations in metapopulation epidemic models using message-passing theory
• Exact rank-reduction of network models
• Recent trends in socio-epidemic modelling: behaviours and their determinants
• Epidemic Thresholds of Infectious Diseases on Tie-Decay Networks
• Epidemic risk perception and social interactions lead to awareness cascades on multiplex networks
• Assessing the Impact of Social Network Structure on the Diffusion of Coronavirus Disease (COVID-19): A Generalized Spatial SEIRD Model
• Localization of nonbacktracking centrality on dense subgraphs of sparse networks
• On the Role of Asymptomatic Carriers in Epidemic Spread Processes
• Superspreaders and High Variance Infectious Diseases
• Crossover from mean-field to $2d$ Directed Percolation in the contact process
• Efficient parameter inference in networked dynamical systems via steady states: A surrogate objective function approach integrating mean-field and nonlinear least squares
• Discovering hidden layers in quantum graphs
• Upper Bounds on Overshoot in SIR Models with Nonlinear Incidence
• Optimal Containment of Epidemics over Temporal Activity-Driven Networks
• Far-reaching consequences of trait preferences for animal social network structure and function
• Disordered configurations of the Glauber model in two-dimensional networks
• Event-Triggered Control for Mitigating SIS Spreading Processes
• Game-Theoretic Choice of Curing Rates Against Networked SIS Epidemics by Human Decision-Makers
• Pulse strategy for suppressing spreading on networks
• Spatial dynamics of synergistic coinfection in rock-paper-scissors models
• Epidemic extinction in a simplicial susceptible-infected-susceptible model
• Network reconstruction may not mean dynamics prediction
• Optimal Curing Strategy for Competing Epidemics Spreading over Complex Networks
• Long-time asymptotics of stochastic reaction systems
• Relaxation dynamics of maximally clustered networks
• Large deviation and anomalous fluctuations scaling in degree assortativity on configuration networks
• Limits of Friendship Networks in Predicting Epidemic Risk
• Representation of degree correlation using eigenvalue decomposition and its application to epidemic models
• Multivariate Generating Functions for Information Spread on Multi-Type Random Graphs
• Optimal Design of Networks of Positive Linear Systems under Stochastic Uncertainty
• 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 spreading and herd immunity in a driven non-equilibrium system of strongly-interacting atoms
• SIS Epidemics in Multilayer-based Temporal Networks
• Stochasticity of infectious outbreaks and consequences for optimal interventions
• Critical avalanches of Susceptible-Infected-Susceptible dynamics in finite networks
• Quantum magnetism on small-world networks
• Effect of lockdown interventions to control the COVID-19 epidemic in India
• A survey on modelling of infectious disease spread and control on social contact networks
• A Time-Vertex Signal Processing Framework
• Pandemic Spread in Communities via Random Graphs
• Multiple Node Immunisation for Preventing Epidemics on Networks by Exact Multiobjective Optimisation of Cost and Shield-Value
• Influence Prediction for Continuous-Time Information Propagation on Networks
• Identifying the structure patterns to govern the performance of localization in regulating innovation diffusion
• The Co-evolution of Cooperation and Epidemic Spreading
• A node-based SIRS epidemic model with infective media on complex networks
• Can Spatiality Promote Diversity?
• The influence of active agent motility on SIRS epidemiological dynamics
• Interplay between exogenous triggers and endogenous behavioral changes in contagion processes on social networks
• Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting
• Decision-Making Frameworks for Network Resilience -- Managing and Mitigating Systemic (Cyber) Risk
• Analytical Mechanics Allows Novel Vistas on Mathematical Epidemic Dynamics Modelling
• Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
• Estimation of the Epidemic Branching Factor in Noisy Contact Networks
• Containment effort reduction and regrowth patterns of the Covid-19 spreading
• Adaptive Diffusion Processes of Time-Varying Local Information on Networks
• Identifying influential patents in citation networks using enhanced VoteRank centrality
• 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
• How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks
• Super-Spreaders Out, Super-Spreading In: The Effects of Infectiousness Heterogeneity and Lockdowns on Herd Immunity
• Cost-Optimal Switching Protection Strategy in Adaptive Networks
• Global hierarchy vs. local structure: spurious self-feedback in scale-free networks
• How contact patterns destabilize and modulate epidemic outbreaks
• Feature Learning and Network Structure from Noisy Node Activity Data
• Tropical approximation to finish time of activity networks
• Contact Process on Weighted Planar Stochastic Lattice
• Flocking dynamics mediated by weighted social networks
• Locating influential nodes via dynamics-sensitive centrality
• Impact of Indirect Contacts in Emerging Infectious Disease on Social Networks
• Non-equilibrium random walks on multiplex networks
• External field and critical exponents in controlling dynamics on complex networks
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• Propagation of chaos and Poisson Hypothesis for replica mean-field models of intensity-based neural networks
• Dynamical Methods for Target Control of Biological Networks
• Understanding the householder solar panel consumer: A Markovian model and its societal implications
• Tensor product algorithms for inference of contact network from epidemiological data
• Meta-plasticity and memory in multi-level recurrent feed-forward networks
• Critical behavior of the stochastic SIR model on random bond-diluted lattices
• Effective one-dimension reduction of multi-compartment complex systems dynamics
• Spreading Processes over Socio-Technical Networks with Phase-Type Transmissions
• A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks
• Applicability of spatial early warning signals to complex network dynamics
• A discount strategy in word-of-mouth marketing and its assessment
• A nonlocal model of epidemic network with nonlimited transmission: Global existence and uniqueness
• Simulated identification of epidemic threshold on finite-size 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
• Herd Immunity with Spatial Adaptation Based on Global Prevalence Information
• The effect of role-based resource allocation on epidemic dynamics
• Predicting the Oscillatory Regimes of Global Synchrony Induced by Secondary Clusters
• Nonequilibrium phase transitions in a racism-spreading model with interaction-driven dynamics
• Random walk with multiple memory channels: a new paradigm
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• Multiple predator based capture process on complex networks
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• Epidemics on evolving networks with varying degrees
• Tracking Time-Vertex Propagation using Dynamic Graph Wavelets
• Impact of fluctuations in social contacts on the spread of epidemics
• Flux of information in scale-free networks
• A rigorous and efficient approach to finding and quantifying symmetries in complex 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
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• Maximizing spreading in complex networks with risk in node activation
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• Lowest Degree Decomposition of Complex Networks
• Information Spreading Dynamics on Adaptive Social Networks
• Flocking and spreading dynamics in populations of self-propelled agents
• Geometric Programming for Optimal Positive Linear Systems
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• Graph Hierarchy: A novel approach to understanding hierarchical structures in complex networks
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• Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs
• Higher-order contagion processes in 3.99 dimensions
• Nonequilibrium steady-state dynamics of Markov processes on graphs
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• Phase transitions for polyadic epidemic and voter models with multiscale groups
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• Estimating the covariance structure of heterogeneous SIS epidemics on networks
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• Synergistic Effects in Networked Epidemic Spreading Dynamics
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• Markov chain approach to anomalous diffusion on Newman-Watts networks
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• Influence Estimation and Maximization via Neural Mean-Field Dynamics
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• Exploring the space of graphs with fixed discrete curvatures
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• Activity Dynamics in Collaboration Networks
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• Consistent Approximation of Epidemic Dynamics on Degree-heterogeneous Clustered Networks
• The Accuracy of Mean-Field Approximation for Susceptible-Infected-Susceptible Epidemic Spreading
• Statistical properties of COVID-19 transmission intervals in Republic of Korea
• Many-body methods in agent-based epidemic models
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• Anomalous finite-size scaling in higher-order processes with absorbing states
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• Effects of lattice dilution on the non-equilibrium phase transition in the stochastic Susceptible-Infectious-Recovered model
• Dynamics of epidemic models from cavity master equations
• Analyzing the Design Space of Re-opening Policies and COVID-19 Outcomes in the US
• 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
• The advantage of self-protecting interventions in mitigating epidemic circulation at the community level
• The spreading ability of nodes towards localized targets in complex networks
• Four-tier response system and spatial propagation of COVID-19 in China by a network model
• Anomalous percolation transitions beyond the BKT transition in growing networks
• Effects of concurrency on epidemic spreading in Markovian temporal networks
• Systemic Interbank Network Risks in Russia
• Link Cascades in Complex Networks: A Mean-field Approach
• Improving the accuracy of the k-shell method by removing redundant links-from a perspective of spreading dynamics
• Diagonal degree correlations vs. epidemic threshold in scale-free networks
• From random point processes to hierarchical Cavity Master Equations for the stochastic dynamics of disordered systems in Random Graphs: Ising models and epidemics
• Slow relaxation dynamics and aging in random walks on activity driven temporal networks
• Epidemics on critical random graphs with heavy-tailed degree distribution
• Crash dynamics of interdependent networks
• Parameter Estimation in Epidemic Spread Networks Using Limited Measurements
• The effect of delayed awareness and fatigue on the efficacy of self-isolation in epidemic control
• Direct Observation of Quantum Percolation Dynamics
• Spreading processes with a unique absorbing state and finite lifetime of populations
• Discrimination universally determines reconstruction of multiplex networks
• Ensemble approach for generalized network dismantling
• Tracing Networks of Knowledge in the Digital Age
• Teleportation Fidelity of Binary Tree Quantum Repeater Networks
• The Limits of Inference in Complex Systems: When Stochastic Models Become Indistinguishable
• Inference in Spreading Processes with Neural-Network Priors
• The spatial dissemination of COVID-19 and associated socio-economic consequences
• Zero-temperature dynamics of the spherical model with non-reciprocal interactions
• Impacts of bridging nodes on the epidemic activation mechanisms
• Trade-Off Between Multiplicity and Specificity in the Inter-layer Connectivity of non-identical Multilayer Networks
• A Jump Stochastic Differential Equation Approach for Influence Prediction on Information Propagation Networks
• Game-Theoretic Vaccination Against Networked SIS Epidemics and Impacts of Human Decision-Making
• Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs
• Evanescent random walker on networks: Hitting times, budget renewal, and survival dynamics
• Urn models with random multiple drawing and random addition
• Universal features of epidemic and vaccine models
• Household Bubbling Strategies for Epidemic Control and Social Connectivity
• Modeling Multistability and Hysteresis in Urban Congestion Spreading
• The SIS Competition Model for Conflicting Rumors
• Transmission Neural Networks: Approximation and Optimal Control
• Link prediction on multi-relational graphs from an influence propagation perspective
• Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts
• Inferring Tree Structure with Hidden Traps from First Passage Times
• From Agent-Based Markov Dynamics to Hierarchical Closures on Networks: Emergent Complexity and Epidemic Applications
• Impact of behavioral heterogeneity on epidemic outcome and its mapping into effective network topologies
• Extended Yard Sale model of wealth distribution on Erdős-Rényi random networks
• On bounding exact models of epidemic spread on networks
• Synergistic effects in threshold models on networks
• Annealed mean-field epidemiological model on scale-free networks with a mitigating factor
• Optimizing Graph Structure for Targeted Diffusion