Epidemic spreading in scale-free networks

Abstract

The Internet, as well as many other networks, has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the spreading of computer viruses. We analyze real data from computer virus infections and find the average lifetime and prevalence of viral strains on the Internet. We define a dynamical model for the spreading of infections on scale-free networks, finding the absence of an epidemic threshold and its associated critical behavior. This new epidemiological framework rationalize data of computer viruses and could help in the understanding of other spreading phenomena on communication and social networks.

13 pages, RevTeX style, 3 EPS figures

References in corpus (2)

• The Fractal Properties of Internet
• Branching annihilating random walk on random regular graphs

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• Asymmetric percolation drives a double transition in sexual contact networks
• Mutually cooperative epidemics on power-law networks
• Six Susceptible-Infected-Susceptible Models on Scale-free Networks
• Modeling the average shortest path length in growth of word-adjacency networks
• Universal mean-field framework for SIS epidemics on networks, based on graph partitioning and the isoperimetric inequality
• Strategy of Competition between Two Groups based on a Contrarian Opinion Model
• Distance distribution in configuration model networks
• Efficient mitigation strategies for epidemics in rural regions
• Controlling epidemics through optimal allocation of test kits and vaccine doses across networks
• Self-induced consensus of Reddit users to characterise the GameStop short squeeze
• Metastability and anomalous fixation in evolutionary games on scale-free networks
• A minimal model for congestion phenomena on complex networks
• Epidemic spreading induced by diversity of agents' mobility
• Epidemic Dynamics in Homes and Destinations under Recurrent Mobility Patterns
• Walks on Apollonian networks
• Promoting information spreading by using contact memory
• Community-based Immunization Strategies for Epidemic Control
• Prevention of infectious diseases by public vaccination and individual protection
• Explosive transitions induced by interdependent contagion-consensus dynamics in multiplex networks
• Traffic-driven SIR epidemic model on networks
• Effective dimensions and percolation in hierarchically structured scale-free networks
• A markovian random walk model of epidemic spreading
• Epidemic spreading in lattice-embedded scale-free networks
• Competing opinions and stubbornness: connecting models to data
• Anomalous behavior of trapping on a fractal scale-free network
• Infection propagator approach to compute epidemic thresholds on temporal networks: impact of immunity and of limited temporal resolution
• Efficient allocation of heterogeneous response times in information spreading process
• Traffic-driven epidemic spreading in correlated networks
• Turing patterns on discrete topologies: from networks to higher-order structures
• Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks
• Diffusion in scale-free networks with annealed disorder
• Resumption of dynamism in damaged networks of coupled oscillators
• Spectral analysis and slow spreading dynamics on complex networks
• Unstable supercritical discontinuous percolation transitions
• Finding nonlinear system equations and complex network structures from data: a sparse optimization approach
• Contagion processes on the static and activity driven coupling networks
• Origin of the mixed-order transition in multiplex networks: the Ashkin-Teller model
• Markovian approach to tackle the interaction of simultaneous diseases
• Network Structure, Topology and Dynamics in Generalized Models of Synchronization
• Topologies and Laplacian spectra of a deterministic uniform recursive tree
• Locally embedded presages of global network bursts
• Unanimity Rule on networks
• Complex scale-free networks with tunable power-law exponent and clustering
• Simplicially driven simple contagion
• Enhancement of Tc in the Superconductor-Insulator Phase Transition on Scale-Free Networks
• A simple model of epidemic dynamics with memory effects
• Social contagion on higher-order structures
• Finding Patient Zero: Learning Contagion Source with Graph Neural Networks
• Analytical results for bond percolation and k-core sizes on clustered networks
• Directedness of information flow in mobile phone communication networks
• Quantum and classical diffusion in small-world networks
• Network Risk and Forecasting Power in Phase-Flipping Dynamical Networks
• Phase diagram of the Bose-Hubbard Model on Complex Networks
• Constrained spin dynamics description of random walks on hierarchical scale-free networks
• Interplay of network dynamics and ties heterogeneity on spreading dynamics
• An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
• Concurrency measures in the era of temporal network epidemiology: A review
• Impact of degree heterogeneity on the behavior of trapping in Koch networks
• Centrality metrics and localization in core-periphery networks
• Suppressing traffic-driven epidemic spreading by adaptive routing strategy
• Epidemic spreading on preferred degree adaptive networks
• Distribution of shortest cycle lengths in random networks
• Complex delay dynamics on railway networks: from universal laws to realistic modelling
• Heterogeneity in connectivity of habitat networks saves stable coexistence of competing species
• Universal structural estimator and dynamics approximator for complex networks
• Suppressing traffic-driven epidemic spreading by use of the efficient routing protocol
• Dynamics of Epidemics
• Growing Scale-free Networks by a Mediation-Driven Attachment Rule
• Pattern of tick aggregation on mice: larger than expected distribution tail enhances the spread of tick-borne pathogens
• Phase transition of light on complex quantum networks
• Impact of asymptomatic infection on coupled disease-behavior dynamics in complex networks
• Complex Network Properties of Chinese Natural Science Basic Research
• Phase diagrams of interacting spreading dynamics in complex networks
• Non-trivial Resource Amount Requirement in the Early Stage for Containing Fatal Diseases
• Capturing Dynamics of Information Diffusion in SNS: A Survey of Methodology and Techniques
• Conservation laws for voter-like models on directed networks
• Temporal networks of face-to-face human interactions
• Relevance of backtracking paths in epidemic spreading on networks
• Non massive immunization to contain spreading on complex networks
• Suppressing epidemics on networks by exploiting observer nodes
• Degree Distribution, Rank-size Distribution, and Leadership Persistence in Mediation-Driven Attachment Networks
• Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice
• Rumor propagation with heterogeneous transmission in social networks
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Global stability of a network-based SIRS epidemic model with nonmonotone incidence rate
• Phase transition of the susceptible-infected-susceptible dynamics on time-varying configuration model networks
• Multistage Random Growing Small-World Networks with Power-law degree Distribution
• Epidemic Extinction Paths in Complex Networks
• Competition for Popularity in Bipartite Networks
• Metastable Features of Economic Networks and Responses to Exogenous Shocks
• Spreading of Persistent Infections in Heterogeneous Populations
• Sampling properties of directed networks
• Dynamical robustness of network of oscillators
• Path-integral approach to the dynamics in sparse random network
• Neighborhood Information-based Probabilistic Algorithm for Network Disintegration
• The influence of the network topology on epidemic spreading
• Network diffusion capacity unveiled by dynamical paths
• Measuring Fundamental Properties of Real-World Complex Networks
• Suppression of epidemic outbreaks with heavy-tailed contact dynamics
• Modular networks with hierarchical organization: The dynamical implications of complex structure
• Got the Flu (or Mumps)? Check the Eigenvalue!
• Coevolving complex networks in the model of social interactions
• The distribution of path lengths of self avoiding walks on Erdős-Rényi networks
• Extinction times of epidemic outbreaks in networks
• Renormalization group for evolving networks
• Effects of epidemic threshold definition on disease spread statistics
• Spreading of fake news, competence, and learning: kinetic modeling and numerical approximation
• Dynamical Immunization Strategy for Seasonal Epidemics
• Interplay between cost and benefits triggers nontrivial vaccination uptake
• Optimizing transport efficiency on scale-free networks through assortative or dissortative topology
• Dynamics to equilibrium in Network Games: individual behavior and global response
• Social contagions on weighted networks
• High prevalence regimes in the pair quenched mean-field theory for the susceptible-infected-susceptible model on networks
• Cumulative Merging Percolation and the epidemic transition of the Susceptible-Infected-Susceptible model in networks
• How to estimate epidemic risk from incomplete contact diaries data?
• Spin glass behavior of the antiferromagnetic Ising model on a scale-free network
• Measles-induced immune amnesia and its effects in concurrent epidemics
• Clustering Spectrum of scale-free networks
• Multiple peaks patterns of epidemic spreading in multi-layer networks
• Stochastic effects in a seasonally forced epidemic model
• Modeling viral mutations in the spread of epidemics
• A generalised mean-field approximation for the Deffuant opinion dynamics model on networks
• Investigating the configurations in cross-shareholding: a joint copula-entropy approach
• Particle velocity controls phase transitions in contagion dynamics
• Contagion spreading on complex networks with local deterministic dynamics
• Gillespie algorithms for stochastic multiagent dynamics in populations and network
• Scaling of mean first-passage time as efficiency measure of nodes sending information on scale-free Koch networks
• Cooperation in the Prisoner's Dilemma game in Random Scale-Free Graphs
• Rise of an alternative majority against opinion leaders
• Detecting the Influence of Spreading in Social Networks with Excitable Sensor Networks
• FastSIR Algorithm: A Fast Algorithm for simulation of epidemic spread in large networks by using SIR compartment model
• A network approach for the scientific collaboration in the European Framework Programs
• Distribution of infected mass in disease spreading in scale-free networks
• Statistics of cycles in large networks
• Influencers identification in complex networks through reaction-diffusion dynamics
• Interplay between the local information based behavioral responses and the epidemic spreading in complex networks
• Endemic infections are always possible on regular networks
• Slow, bursty dynamics as the consequence of quenched network topologies
• Epidemic Spreading and Digital Contact Tracing: Effects of Heterogeneous Mixing and Quarantine Failures
• Efficient learning strategy of Chinese characters based on network approach
• Evolution equation for a model of surface relaxation in complex networks
• Mean encounter times for multiple random walkers on networks
• Identifying Influential Spreaders of Epidemics on Community Networks
• Phase transition for the Maki-Thompson rumour model on a small-world network
• Coexistence in preferential attachment networks
• Network Alignment
• Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions
• Impact of network structure on a model of diffusion and competitive interaction
• Stochastic oscillations in models of epidemics on a network of cities
• Percolation on interdependent networks with a fraction of antagonistic interactions
• Effects of city-size heterogeneity on epidemic spreading in a metapopulation: A reaction-diffusion approach
• Cross-over behaviour in a communication network
• Targeted influence maximization in complex networks
• Conedy: a scientific tool to investigate Complex Network Dynamics
• Optimizing Hybrid Spreading in Metapopulations
• Approximate entropy of network parameters
• Finite size effects in Barabasi-Albert growing networks
• Optimal modularity for nucleation in network-organized Ising model
• Phase transition in the modified fiber bundle model
• Network Discovery by Generalized Random Walks
• Uncovering the fragility of large-scale engineering project networks
• Intentional Walks on Scale Free Small Worlds
• Beyond clustering: Mean-field dynamics on networks with arbitrary subgraph composition
• Surges of collective human activity emerge from simple pairwise correlations
• On the Properties of Gromov Matrices and their Applications in Network Inference
• Endemicity and prevalence of multipartite viruses under heterogeneous between-host transmission
• On the reorderability of node-filtered order complexes
• Simulating SIR processes on networks using weighted shortest paths
• Synchronized and mixed outbreaks of coupled recurrent epidemics
• Modelling Excess Mortality in Covid-19-like Epidemics
• Statistically consistent coarse-grained simulations for critical phenomena in complex networks
• Vulnerability of state-interdependent networks under malware spreading
• On the numerical study of percolation and epidemic critical properties in networks
• Transmission dynamics of an SIS model with age structure on heterogeneous networks
• Efficiency of prompt quarantine measures on a susceptible-infected-removed model in networks
• Pattern dynamics of interacting contagions
• Meta-food-chains as a many-layer epidemic process on networks
• Finding influential spreaders from human activity beyond network location
• Non-consensus opinion model on directed networks
• Rescue of endemic states in interconnected networks with adaptive coupling
• Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks
• A dissemination strategy for immunizing scale-free networks
• Feedback-induced stationary localized patterns in networks of diffusively coupled bistable elements
• Optimal community structure for social contagions
• The Dynamics of Knowledge Acquisition via Self-Learning in Complex Networks
• Synchronization of networks with variable local properties
• Combined Centrality Measures for an Improved Characterization of Influence Spread in Social Networks
• Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
• Color-avoiding percolation
• Time allocation in social networks: correlation between social structure and human communication dynamics
• Graph animals, subgraph sampling and motif search in large networks
• A simulation of a COVID-19 epidemic based on a deterministic SEIR model
• Node similarity as a basic principle behind connectivity in complex networks
• Clustering for epidemics on networks: a geometric approach
• Emergence and algorithmic information dynamics of systems and observers
• Learning epidemic threshold in complex networks by Convolutional Neural Network
• On the Clausius formulation of the second law in stationary chemical networks through the theorems of the alternative
• Multiple propagation paths enhance locating the source of diffusion in complex networks
• Hierarchy in directed random networks
• Emergence of Blind Areas in Information Spreading
• Attention Competition with Advertisement
• Analytical solution for a class of network dynamics with mechanical and financial applications
• Reaction Spreading on Graphs
• Localization transition, Lifschitz tails and rare-region effects in network models
• Emerging heterogeneities in Italian customs and comparison with nearby countries
• Classification of critical phenomena in hierarchical small-world networks
• Network resilience against intelligent attacks constrained by degree dependent node removal cost
• Self-isolation or borders closing: what prevents epidemic spreading better?
• Hysteretic percolation from locally optimal individual decisions
• A scale-free network hidden in the collapsing polymer
• A Model for Android and iOS Applications Risk Calculation: CVSS Analysis and Enhancement Using Case-Control Studies
• Network Growth with Arbitrary Initial Conditions: Analytical Results for Uniform and Preferential Attachment
• Link-based formalism for time evolution of adaptive networks
• Schemes of Propagation Models and Source Estimators for Rumor Source Detection in Online Social Networks: A Short Survey of a Decade of Research
• Variability of Contact Process in Complex Networks
• Double transition of information spreading in a two-layered network
• Systemic risk in dynamical networks with stochastic failure criterion
• Conservative model for synchronization problems in complex networks
• Contact network models matching the dynamics of the COVID-19 spreading
• Optimal redundancy against disjoint vulnerabilities in networks
• Coevolutionary dynamics on scale-free networks
• Emergence and resilience of social networks: a general theoretical framework
• Statistical Thermodynamics of Clustered Populations
• Irreversible growth of binary mixtures on small-world networks
• Not all interventions are equal for the height of the second peak
• Weak ties: Subtle role of information diffusion in online social networks
• Persistence, extinction and spatio-temporal synchronization of SIRS cellular automata models
• An Exact Relationship Between Invasion Probability and Endemic Prevalence for Markovian SIS Dynamics on Networks
• Analysis of the convergence of the degree distribution of contracting random networks towards a Poisson distribution using the relative entropy
• High-Accuracy Approximation of Evolutionary Pairwise Games on Complex Networks
• Hybrid Epidemics - A Case Study on Computer Worm Conficker
• Concentric Network Symmetry
• Resilience of epidemics on networks
• Bouchaud-Mézard model on a random network
• Automatic Network Fingerprinting through Single-Node Motifs
• Contact processes with random vertex weights on oriented lattices
• Time evolution of predictability of epidemics on networks
• Memory effects induce structure in social networks with activity-driven agents
• Statistical inference framework for source detection of contagion processes on arbitrary network structures
• Control of epidemics via social partnership adjustment
• Synchronization in Scale Free networks with degree correlation
• Identifying a set of influential spreaders in complex networks
• Critical behavior of a two-step contagion model with multiple seeds
• Critical behavior of the SIS epidemic model with time-dependent infection rate
• Non-normality and non-monotonic dynamics in complex reaction networks
• Memory-induced complex contagion in epidemic spreading
• Global efficiency and network structure of urban traffic flows: A percolation-based empirical analysis
• The distribution of first hitting times of random walks on Erdős-Rényi networks
• Diffusion Dynamics with Changing Network Composition
• PAFit: an R Package for the Non-Parametric Estimation of Preferential Attachment and Node Fitness in Temporal Complex Networks
• Generalized patterns from local and non local reactions
• Impact of assortative mixing by mask-wearing on the propagation of epidemics in networks
• Fast computation method for comprehensive agent-level epidemic dissemination in networks
• Scaling Behavior of Threshold Epidemics
• Solvable epidemic model on degree-correlated networks
• Ostwald growth rate in controlled Covid-19 epidemic spreading as in arrested growth in quantum complex matter
• Interplay between HIV/AIDS Epidemics and Demographic Structures Based on Sexual Contact Networks
• Controlling percolation with limited resources
• Networks with many structural scales: a Renormalization Group perspective
• Dynamical robustness of complex networks subject to long-range connectivity
• Preferential attachment with information filtering - node degree probability distribution properties
• An Analysis of the Matching Hypothesis in Networks
• Thermodynamic forces, flows, and Onsager coefficients in complex networks
• Approximating quasi-stationary behaviour in network-based SIS dynamics
• Evolution in the Debian GNU/Linux software network: analogies and differences with gene regulatory networks
• Probabilistic Inductive Classes of Graphs
• Wealth distribution on complex networks
• Mean-field theory for double-well systems on degree-heterogeneous networks
• Modelling indirect interactions during failure spreading in a project activity network
• Impact of origin-destination information in epidemic spreading
• Quenched mean-field theory for the majority-vote model on complex networks
• Random field Ising model on networks with inhomogeneous connections
• Modelling opinion formation driven communities in social networks
• Logistic growth on networks: exact solutions for the SI model
• Scaling behavior of the contact process in networks with long-range connections
• Structural and spectral properties of a family of deterministic recursive trees: Rigorous solutions
• Can recurrence networks show small world property?
• Effects of aging and links removal on epidemic dynamics in scale-free networks
• The structure of networks that evolve under a combination of growth, via node addition and random attachment, and contraction, via random node deletion
• Emergence of event cascades in inhomogeneous networks
• The Host-Pathogen Game: an evolutionary approach to biological competitions
• Scale-free collaboration networks: An author name disambiguation perspective
• Lumping of Degree-Based Mean Field and Pair Approximation Equations for Multi-State Contact Processes
• Follow the fugitive: an application of the method of images to open dynamical systems
• Contagion processes on urban bus networks in Indian cities
• Descendant distributions for the impact of mutant contagion on networks
• Probing into the effectiveness of self-isolation policies in epidemic control
• Effects of fear factors in disease propagation
• Sudden spreading of infections in an epidemic model with a finite seed fraction
• The Epidemics of Corruption
• Epidemic spreading under game-based self-quarantine behaviors: The different effects of local and global information
• Reconstruction scheme for excitatory and inhibitory dynamics with quenched disorder: application to zebrafish imaging
• Infectious Default Model with Recovery and Continuous Limit
• Spread of variants of epidemic disease based on the microscopic numerical simulations on networks
• Random walks on networks with preferential cumulative damage: Generation of bias and aging
• Michaelis-Menten Dynamics in Complex Heterogeneous Networks
• Network localization is unalterable by infections in bursts
• Phase transitions with infinitely many absorbing states in complex networks
• Exact enumeration approach to first-passage time distribution of non-Markov random walks
• Dynamics of infectious disease in clustered networks with arbitrary degree distributions
• A General Stochastic Information Diffusion Model in Social Networks based on Epidemic Diseases
• Understanding the temporal pattern of spreading in heterogeneous networks: Theory of the mean infection time
• Scale-free network clustering in hyperbolic and other random graphs
• Infinite randomness critical behavior of the contact process on networks with long-range connections
• The influence of risk perception in epidemics: a cellular agent model
• The Contact Process on Random Graphs and Galton-Watson Trees
• Rank the spreading influence of nodes using dynamic Markov process
• Low prevalence, quasi-stationarity and power-law distribution in a model of spreading
• Two transitions in spatial modular networks
• Modeling the Propagation of Trojan Malware in Online Social Networks
• Do extremists impose the structure of social networks?
• On extreme points of the diffusion polytope
• Circular Stochastic Fluctuations in SIS Epidemics with Heterogeneous Contacts Among Sub-populations
• Absence of epidemic thresholds in a growing adaptive network
• Type reproduction number for epidemic models on heterogeneous networks
• Size of quantum networks
• Scaling of contact networks for epidemic spreading in urban transit systems
• Analytical results for the distribution of first hitting times of random walks on random regular graphs
• Multistage onset of epidemics in heterogeneous networks
• Double phase transition of the Ising model in core-periphery networks
• Parallel Minority Game and it's application in movement optimization during an epidemic
• Evolutionary network games: equilibria from imitation and best-response dynamics
• Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks
• Discrete Scale Invariance in Supercritical Percolation
• Symmetry and localization of quantum walk induced by extra link in cycles
• Binary dynamics on star networks under external perturbations
• Tuning degree distributions of scale-free networks
• Nucleation in scale-free networks
• Analytical results for the distribution of first-passage times of random walks on random regular graphs
• Complexity-stability relationships in competitive disordered dynamical systems
• Information Source Detection in the SIR Model: A Sample Path Based Approach
• Optimal information diffusion in stochastic block models
• Identification of highly susceptible individuals in complex networks
• Traffic-driven epidemic spreading on scale-free networks with tunable degree distribution
• Non-equilibrium mean-field theories on scale-free networks
• Discontinuous Transition of a Multistage Independent Cascade Model on Networks
• Rounding of first-order phase transitions and optimal cooperation in scale-free networks
• Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
• Robustness of correlated networks against propagating attacks
• Strategic Attack & Defense in Security Diffusion Games
• SIR dynamics in structured populations with heterogeneous connectivity
• Flux distribution in metabolic networks close to optimal biomass production
• Descents and nodal load in scale-free networks
• Duality between predictability and reconstructability in complex systems
• Comparison of mean-field based theoretical analysis methods for SIS model
• Mesoscopics and fluctuations in networks
• Diversity of hysteresis in a fully cooperative coinfection model
• Self-Organization and Complex Networks
• Creating and controlling overlap in two-layer networks. Application to a mean-field SIS epidemic model with awareness dissemination
• Hamiltonian Dynamics of Preferential Attachment
• Dynamic Behavior of Interacting between Epidemics and Cascades on Heterogeneous Networks
• Control energy scaling in temporal networks
• Dynamic scaling regimes of collective decision making
• Exponential rate of epidemic spreading on complex networks
• Analysis on the evolution process of BFW-like model with explosive percolation of multiple giant components
• A model for meme popularity growth in social networking systems based on biological principle and human interest dynamics
• Duality between preferential attachment and static random networks on hyperbolic spaces
• The spreading of computer viruses on time-varying networks
• Forecasting the Flu: Designing Social Network Sensors for Epidemics
• The Social Behavior and the Evolution of Sexually Transmitted Diseases
• Nonlinear signaling on biological networks: the role of stochasticity and spectral clustering
• The Cost of an Epidemic over a Complex Network: A Random Matrix Approach
• Susceptible-Infected-Recovered model on Euclidean network
• A Self-Organized Method for Computing the Epidemic Threshold in Computer Networks
• Variational approximations for stochastic dynamics on graphs
• Phase diagram of epidemic spreading - unimodal vs. bimodal probability distributions
• Centralities in Simplicial Complexes
• Finite-time scaling for epidemic processes with power-law superspreading events
• Inhomogeneous percolation models for spreading phenomena in random graphs
• The influence of a transport process on the epidemic threshold
• Nonlinear random walks optimize the trade-off between cost and prevention in epidemics lockdown measures : the ESIR model
• Characterizing the intrinsic correlations of scale-free networks
• Role of bridge nodes in epidemic spreading: Different regimes and crossovers
• A Stochastic Model of Active Cyber Defense Dynamics
• Information Evolution in Complex Networks
• Outbreak Patterns of the Novel Avian Influenza (H7N9)
• Host--parasite models on graphs
• Concurrency and reachability in tree-like temporal networks
• Parameterizing Network Graph Heterogeneity using a Modified Weibull Distribution
• Impact of random and targeted disruptions on information diffusion during outbreaks
• Social network structure and the spread of complex contagions from a population genetics perspective
• Learning the mechanisms of network growth
• Social Network Heterogeneity Promotes Depolarization of Multidimensional Correlated Opinions
• Emergent information dynamics in many-body interconnected systems
• Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
• Identifying network topologies via quantum walk distributions
• Heterogeneous mean-field theory for two-species symbiotic processes on networks
• Scaling properties of scale-free networks in degree-thresholding renormalization flows
• Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks
• Homophily Within and Across Groups
• Degree-targeted cascades in modular, degree-heterogeneous networks
• Impact of temporal correlations on high risk outbreaks of independent and cooperative SIR dynamics
• Modeling a Double-Spending Detection System for the Bitcoin Network
• Statistical Physics of Design
• Accessibility and Delay in Random Temporal Networks
• Epidemics in networks: A master equation approach
• Non-systemic transmission of tick-borne diseases: a network approach
• Scalar model of flocking dynamics on complex social networks
• Inferring network topology via the propagation process
• Entrograms and coarse graining of dynamics on complex networks
• The role of caretakers in disease dynamics
• Facility Location in Evolving Metrics
• Nodal domain partition and the number of communities in networks
• Sufficient conditions of endemic threshold on metapopulation networks
• The Western Africa Ebola virus disease epidemic exhibits both global exponential and local polynomial growth rates
• Dynamic Network Models
• Robustness of networks against propagating attacks under vaccination strategies
• Opinion dynamics on a group structured adaptive network
• Statistical Agent Based Modelization of the Phenomenon of Drug Abuse
• Decoding the structure of the WWW: facts versus sampling biases
• On metastable configurations of small-world networks
• Static Pairwise Annihilation in Complex Networks
• Critical behavior of the contact process in a multiscale network
• Epidemic thresholds in directed complex networks
• Graph Theory and Networks in Biology
• Promiscuity and the Evolution of Sexual Transmitted Diseases
• Distributions of number of sexual partnerships have power law decaying tails and finite variance
• Emergence of Hierarchy on a Network of Complementary Agents
• Epidemics scenarios in the "Romantic network"
• Underestimating extreme events in power-law behavior due to machine-dependent cutoffs
• Node Diversification in Complex Networks by Decentralized Coloring
• Immunization for complex network based on the effective degree of vertex
• Exactly solvable tight-binding models on two scale-free networks with identical degree distribution
• Synergistic epidemic spreading in correlated networks
• Invited review: Epidemics on social networks
• Advection of passive particles over flow networks
• Double transitions and hysteresis in heterogeneous contagion processes
• Degree dependent transmission rates in epidemic processes
• Computational Aspects of Optimal Strategic Network Diffusion
• Conditions for viral influence spreading through multiplex correlated social networks
• Finding Rumor Sources on Random Trees
• Modified Heider Balance on Sparse Random Networks
• Detecting and Describing Dynamic Equilibria in Adaptive Networks
• Rank-based model for weighted network with hierarchical organization and disassortative mixing
• Epidemic modelling requires knowledge of the social network
• Network Inoculation: Heteroclinics and phase transitions in an epidemic model
• Modeling spatial social complex networks for dynamical processes
• Universality in survivor distributions: Characterising the winners of competitive dynamics
• Stability of strategies in payoff-driven evolutionary games on networks
• Susceptible-infected-susceptible model on networks with eigenvector localization
• Branching process approach for Boolean bipartite networks of metabolic reactions
• A compartmental model for cyber-epidemics
• Amplitude death and restoration in networks of oscillators with random-walk diffusion
• Degree-ordered percolation on hierarchical scale-free network
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• Degree and component size distributions in generalized uniform recursive tree
• EMH: Extended Mixing H-index centrality for identification important users in social networks based on neighborhood diversity
• Optimizing spreading dynamics in interconnected networks
• SIR epidemics in dynamic contact networks
• Potts Model On Random Trees
• Structural Analysis of Viral Spreading Processes in Social and Communication Networks Using Egonets
• Filtering of complex systems using overlapping tree networks
• The end time of SIS epidemics driven by random walks on edge-transitive graphs
• Contact switching as a control strategy for epidemic outbreaks
• Competition between surface relaxation and ballistic deposition models in scale free networks
• Endogenous Quasicycles and Stochastic Coherence in a Closed Endemic Model
• Centralities for Networks with Consumable Resources
• War pact model of shrinking networks
• The cause of universality in growth fluctuations
• Spin-glass model for the C-dismantling problem
• The Impact of Imperfect Information on Network Attack
• Spectral properties of the hierarchical product of graphs
• Comparing the diversity of information by word-of-mouth vs. web spread
• Inference and rare event simulation for stopped Markov processes via reverse-time sequential Monte Carlo
• Accuracy criterion for mean field approximations of Markov processes on hypergraphs
• Emergence of synergistic and competitive pathogens in a co-evolutionary spreading mode
• How does degree heterogeneity affect nucleation of Ising model on complex networks?
• Approaching the thermodynamic limit in equilibrated scale-free networks
• The elliptic model for social fluxes
• Scale-free random branching tree in supercritical phase
• A measure for characterizing heavy-tailed networks
• Response to targeted perturbations for random walks on networks
• Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix
• Giant component in a configuration-model power-law graph with a variable number of links
• The scaling of human interactions with city size
• Generating multi-scaling networks with different types of nodes
• Redefinition of site percolation in light of entropy and the second law of thermodynamics
• Exact solutions of epidemic models on networks
• Modeling disease spreading with adaptive behavior considering local and global information dissemination
• Compression-based inference of network motif sets
• Fundamental limitations of network reconstruction
• Mean first-encounter times of simultaneous random walkers with resetting on networks
• Spatio-temporal propagation of cascading overload failures
• Probing models of information spreading in social networks
• Temporal Dynamics of Connectivity and Epidemic Properties of Growing Networks
• Quantitative modeling of degree-degree correlation in complex networks
• Transient Dynamics of Epidemic Spreading and Its Mitigation on Large Networks
• Regular graphs maximize the variability of random neural networks
• Finding the proper node ranking method for complex networks
• MultiAspect Graphs: Algebraic representation and algorithms
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• Mutual Feedback Between Epidemic Spreading and Information Diffusion
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• Diffusion in Colocation Contact Networks: the Impact of Nodal Spatiotemporal Dynamics
• Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network
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• A mechanism to synchronize fluctuations in scale free networks using growth models
• Detecting Structure of Complex Network by Quantum Bosonic Dynamics
• Epidemic dynamics on complex networks
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• When group level is different from the population level: an adaptive network with the Deffuant model
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• Identifying influential subpopulations in metapopulation epidemic models using message-passing theory
• Phase transitions in atypical systems induced by a condensation transition on graphs
• Asymmetrically interacting spreading dynamics on complex layered networks
• Exact rank-reduction of network models
• Game-Theoretic Choice of Curing Rates Against Networked SIS Epidemics by Human Decision-Makers
• Optimal Control of Interdependent Epidemics in Complex Networks
• D-chain tomography of networks: a new structure spectrum and an application to the SIR process
• Critical avalanches of Susceptible-Infected-Susceptible dynamics in finite networks
• Efficient parameter inference in networked dynamical systems via steady states: A surrogate objective function approach integrating mean-field and nonlinear least squares
• Global stability of epidemic models with imperfect vaccination and quarantine on scale-free networks
• Analytic Solution to Clustering Coefficients on Weighted Networks
• Action selection in growing state spaces: Control of Network Structure Growth
• SIR dynamics in random networks with heterogeneous connectivity
• Evidence of equilibrium dynamics in human social networks evolving in time
• Optimal Curing Strategy for Competing Epidemics Spreading over Complex Networks
• A node-based SIRS epidemic model with infective media on complex networks
• Temporal Correlations of Local Network Losses
• Active Screening for Recurrent Diseases: A Reinforcement Learning Approach
• SIS Epidemics in Multilayer-based Temporal Networks
• Genetic drift in range expansions is very sensitive to density feedback in dispersal and growth
• Epidemic risk perception and social interactions lead to awareness cascades on multiplex networks
• Separating temporal and topological effects in walk-based network centrality
• Ising Model on Edge-Dual of Random Networks
• An exact N-strain epidemic model using bond percolation
• Degree and connectivity of the Internet's scale-free topology
• Virus Propagation in Multiple Profile Networks
• Identifying Influential Nodes in Weighted Networks using k-shell based HookeRank Algorithm
• Predicting Lifetime of Dynamical Networks Experiencing Persistent Random Attacks
• Finding an individual's probability of infection in an SIR network is NP-hard
• Extending adjacency matrices to 3D with triangles
• Analytic description of adaptive network topologies in steady state
• Multiple predator based capture process on complex networks
• Epidemic oscillations induced by social network control: the discontinuous case
• A New Analysis Method for Simulations Using Node Categorizations
• Evolving nature of human contact networks with its impact on epidemic processes
• Transforming Graph Representations for Statistical Relational Learning
• A nonlocal model of epidemic network with nonlimited transmission: Global existence and uniqueness
• A discount strategy in word-of-mouth marketing and its assessment
• Consensus from group interactions: An adaptive voter model on hypergraphs
• Epidemics on evolving networks with varying degrees
• Effective vaccination strategy using graph neural network ansatz
• Universality in percolation of arbitrary Uncorrelated Nested Subgraphs
• Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
• Reconstructing networks from simple and complex contagions
• The Pendulum Arrangement: Maximizing the Escape Time of Heterogeneous Random Walks
• Prisoner's dilemma on directed networks
• Adaptive Diffusion Processes of Time-Varying Local Information on Networks
• Structure Entropy and Resistor Graphs
• A network approach to quantifying radiotherapy effect on cancer: Radiosensitive gene group centrality
• An almost-solvable model of complex network dynamics
• SocioAware Content Distribution using P2P solutions in Hybrid Networks
• Flocking dynamics mediated by weighted social networks
• Stationary States of a Random Copying Mechanism over a Complex Networks
• Small world is not enough: Criteria for network choice and conclusiveness of simulations
• Lowest Degree Decomposition of Complex Networks
• Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs
• Epidemic spreading with immunization rate on complex networks
• The effect of interurban movements on the spatial distribution of population in China
• Predicting the response of structurally altered and asymmetrical networks
• Limiting the Neighborhood: De-Small-World Network for Outbreak Prevention
• Analysis of Infectious-Recovery Epidemic Models for Membership Dynamics of Online Social Networks
• Private Link Exchange over Social Graphs
• Phase transition for the SIR model with random transition rates on complete graphs
• 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
• Ride Sharing and Dynamic Networks Analysis
• The risk for a new COVID-19 wave -- and how it depends on $R_0$, the current immunity level and current restrictions
• Computational Human Dynamics
• Epidemic-like Proximity-based Traffic Offloading
• The damage inflicted by a computer virus: A new estimation method
• Scale-free percolation in continuum space: quenched degree and clustering coefficient
• Abrupt transition of the efficient vaccination strategy in a population with heterogeneous fatality rates
• A contact process with mutations on a tree
• Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks
• Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations
• Global decomposition of networks into multiple cores formed by local hubs
• Modeling Dynamics of Online Video Popularity
• Maximum Entropy Models of Shortest Path and Outbreak Distributions in Networks
• iConViz: Interactive Visual Exploration of the Default Contagion Risk of Networked-Guarantee Loans
• Network compression with configuration models and the minimum description length
• Spreader events and the limitations of projected networks for capturing dynamics on multipartite networks
• Exact epidemic models from a tensor product formulation
• Sharpest possible clustering bounds using robust random graph analysis
• Coupled effects of local movement and global interaction on contagion
• Spreading processes in "post-epidemic" environments. II. Safety patterns on scale-free networks
• Exact mean field dynamics for epidemic-like processes on heterogeneous networks
• Controlling network dynamics
• True Nonlinear Dynamics from Incomplete Networks
• Virus and Warning Spread in Dynamical Networks
• Exploring and comparing temporal clustering methods
• Defend against advanced persistent threats: An optimal control approach
• Design of Self-Organising Networks
• Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
• Random Walks on Complex Networks
• The Impact of Network Flows on Community Formation in Models of Opinion Dynamics
• The spreading ability of nodes towards localized targets in complex networks
• Expertise localization discovered through correlation of key term distribution and community detection in co-author networks
• The Truth about Power Laws: Theory and Reality
• Complex Design Networks: Structure and Dynamics
• Explicit Solutions to the Continuous Time Albert-Barabási Scale-Free Model
• Epidemic spreading with immunization on bipartite networks
• On the Non-Progressive Spread of Influence through Social Networks
• Irregular Metamaterial Networks
• How hate spreads online and why it returns: Re-entrant phases driven by collective behavior
• Starvation suppression in dense scale-free metabolic networks: Dynamical mean-field analysis of catalytic reaction networks
• Spontaneous divergence of disease status in an economic epidemiological game
• Impacts of bridging nodes on the epidemic activation mechanisms
• Beyond network structure: How heterogenous susceptibility modulates the spread of epidemics
• Ranking the spreading influence of nodes in complex networks based on mixing degree centrality and local structure
• Weakening connections in heterogeneous mean-field models
• Diseases on complex networks. Modeling from a database and a protection strategy proposal
• Exact fixation probabilities for the Birth-Death and Death-Birth frequency-dependent Moran processes on the star graph
• Network growth under opportunistic attachment
• Transmission Neural Networks: Approximation and Optimal Control
• Optimally Targeting Interventions in Networks during a Pandemic: Theory and Evidence from the Networks of Nursing Homes in the United States
• Evaluation of User Dynamics Created by Weak Ties among Divided Communities
• Dismantle a network efficiently during the entire process by a compound algorithm
• Universality classes in the time evolution of epidemic outbreaks on complex networks
• Dynamics of epidemic models from cavity master equations
• Epidemic spread in interconnected directed networks
• Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs
• Super compact pairwise model for SIS epidemic on heterogeneous networks
• Optimizing hospital distribution across districts for reducing tuberculosis fatalities
• Diffusion in Networks and the Unexpected Virtue of Burstiness
• On bounding exact models of epidemic spread on networks
• Universal emergence of local Zipf-Mandelbrot law
• Many-body methods in agent-based epidemic models
• Dynamic message-passing approach for kinetic spin models with reversible dynamics
• Epidemics with asymptomatic transmission: Sub-critical phase from recursive contact tracing
• Controlling nosocomial infection based on structure of hospital social networks
• Epidemic spread in networks: Existing methods and current challenges
• The spread of infections on evolving scale-free networks
• Recovery of Interdependent Networks
• Dynamics and Synchronization of Boundary Coupled FitzHugh-Nagumo Neural Networks
• Simulation-Optimization Approaches for the Network Immunization Problem with Quarantining
• Network-ensemble comparisons with stochastic rewiring and von Neumann entropy
• Phase transitions for polyadic epidemic and voter models with multiscale groups
• Mean field limit of local density-dependent Markov processes on weighted Erdos-Renyi graphs
• Game-Theoretic Vaccination Against Networked SIS Epidemics and Impacts of Human Decision-Making
• Spatio-Temporal Patterns for a Generalized Innovation Diffusion Model
• Analysis and Control of a Continuous-Time Bi-Virus Model
• An estimation of cattle movement parameters in the Central States of the US
• Investigating the Trade-off between Infections and Social Interactions Using a Compact Model of Endemic Infections on Networks
• Metapopulation epidemic models with heterogeneous mixing and travel behaviour
• The effect of delayed awareness and fatigue on the efficacy of self-isolation in epidemic control
• The contact process on the complete graph with random vertex-dependent infection rates
• Perturbative expansion of the fundamental equation of online user dynamics for describing changes in eigenfrequencies
• Markov Chain Hidden behind Power Law Mechanism of Self-organized Criticality
• Analysis of Social Voting Patterns on Digg
• Mathematical models for epidemic spreading on complex networks
• From random point processes to hierarchical Cavity Master Equations for the stochastic dynamics of disordered systems in Random Graphs: Ising models and epidemics
• Topological determinants of self-sustained activity in a simple model of excitable dynamics on graphs
• A new metric for robustness with respect to virus spread
• Simulating the Influence of Collaborative Networks on the Structure of Networks of Organizations, Employment Structure, and Organization Value
• Evolve Networks Towards Better Performance: a Compromise between Mutation and Selection
• Malware "Ecology" Viewed as Ecological Succession: Historical Trends and Future Prospects
• Unveiling the Relationship Between Structure and Dynamics in Complex Networks
• Prophylaxis of Epidemic Spreading with Transient Dynamics
• The contact process with fitness on random trees
• Does host contact structure reduce pathogen diversity?
• Molecular Communications at the Macroscale: A Novel Framework for Modeling Epidemic Spreading and Mitigation
• Annealed mean-field epidemiological model on scale-free networks with a mitigating factor
• Stochastic spreading processes on a network model based on regular graphs
• Modelling remote epidemic transmission in Western Australia and implications for pandemic response
• Scale-free Loopy Structure is Resistant to Noise in Consensus Dynamics in Complex Networks
• Effects of Noise on Ecological Invasion Processes: Bacteriophage-mediated Competition in Bacteria
• Trends in condensed matter physics: is research going faster and faster?
• Link Cascades in Complex Networks: A Mean-field Approach
• Effects of concurrency on epidemic spreading in Markovian temporal networks
• Dynamical graphs for the SI epidemiological model
• Multiplex mobility network and metapopulation epidemic simulations of Italy based on Open Data
• Impact of behavioral heterogeneity on epidemic outcome and its mapping into effective network topologies
• Average synaptic activity and neural networks topology: a global inverse problem
• Virus Dynamics on Starlike Graphs
• Analysis of the spread of tuberculosis in heterogeneous complex metapopulations
• Two Categories of Indoor Interactive Dynamics of a Large-scale Human Population in a WiFi covered university campus
• Impact of Random Failures and Attacks on Poisson and Power-Law Random Networks
• Polynomial epidemics and clustering in contact networks
• Speeding Up Network Simulations Using Discrete Time
• A heuristic optimization method for mitigating the impact of a virus attack
• Bilinear effect in complex systems
• Epidemics on networks with large initial conditions or changing structure
• Liquidity induced asset bubbles via flows of ELMMs
• A logic for networks
• Manageable to unmanageable transition in a fractal model of project networks
• On the Relationship between Trading Network and WWW Network: A Preferential Attachment Perspective
• Epidemic and Cascading Survivability of Complex Networks
• Coupled effects of epidemic information and risk awareness on contagion
• Heterogeneous length of stay of hosts' movements and spatial epidemic spread
• Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts
• Influence of Topological Features on Spatially-Structured Evolutionary Algorithms Dynamics
• Bending the Curve: Operational Cyber Epidemiology for Ransomware
• Information conduction and convection in noiseless Vicsek flocks
• Technological networks and the spread of computer viruses
• Activity Dynamics in Collaboration Networks
• Statistical User Model for the Internet Access
• A Hybrid Model for Disease Spread and an Application to the SARS Pandemic