Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure

Abstract

We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological evolution of the network). We propose and implement a computational approach that enables us to study the dynamics of the network directly on an emergent, coarse-grained level. The approach sidesteps the derivation of closed low-dimensional approximations. Our investigations reveal that global coupling, which enters through the awareness of the population to the disease, can result in robust large-amplitude oscillations of the state and topology of the network.

revised version 6 pages, 4 figures

References in corpus (11)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Epidemic spreading in scale-free networks
• Epidemic dynamics on an adaptive network
• Adaptive Coevolutionary Networks: A Review
• Co-evolution of strategy and structure in complex networks with dynamical linking
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
• Spontaneous structure formation in a network of chaotic units with variable connection strengths
• Phenomenological Models of Socio-Economic Network Dynamics
• Self-Assembly of Information in Networks

Cited by in corpus (34)

• Resolving social dilemmas on evolving random networks
• Adaptive networks: coevolution of disease and topology
• Modeling complex systems with adaptive networks
• Intermittent social distancing strategy for epidemic control
• Early warning signs for saddle-escape transitions in complex networks
• Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
• Maximum-entropy moment-closure for stochastic systems on networks
• Efficient community-based control strategies in adaptive networks
• Epidemic spreading induced by diversity of agents' mobility
• Epidemic spreading in populations of mobile agents with adaptive behavioral response
• Epidemic spreading on preferred degree adaptive networks
• Oscillations in epidemic models with spread of awareness
• The structure of coevolving infection networks
• Network topology near criticality in adaptive epidemics
• Multiple peaks patterns of epidemic spreading in multi-layer networks
• Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
• Social dilemmas of sociality due to beneficial and costly contagion
• Statistically consistent coarse-grained simulations for critical phenomena in complex networks
• Link-based formalism for time evolution of adaptive networks
• Enhancement of large fluctuations to extinction in adaptive networks
• Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems
• Hierarchy and Polysynchrony in an adaptive network
• Circular Stochastic Fluctuations in SIS Epidemics with Heterogeneous Contacts Among Sub-populations
• Bursting endemic bubbles in an adaptive network
• Aperiodic dynamics in a deterministic model of attitude formation in social groups
• Mean-field models of dynamics on networks via moment closure: an automated procedure
• Emergent bipartiteness in a society of knights and knaves
• Strong coupling yields abrupt synchronization transitions in coupled oscillators
• Coarse-graining the dynamics of network evolution: the rise and fall of a networked society
• Network Inoculation: Heteroclinics and phase transitions in an epidemic model
• Detecting and Describing Dynamic Equilibria in Adaptive Networks
• Robustness of behaviourally-induced oscillations in epidemic models under a low rate of imported cases
• Coarse-grained Monte Carlo simulations of the phase transition of Potts model on weighted networks
• Asymptotically inspired moment-closure approximation for adaptive networks