5 Result(s)
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Article
Open AccessEpidemic threshold in pairwise models for clustered networks: closures and fast correlations
The epidemic threshold is probably the most studied quantity in the modelling of epidemics on networks. For a large class of networks and dynamics, it is well studied and understood. However, it is less so for...
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Article
Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis
An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochasti...
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Article
Open AccessBeyond clustering: mean-field dynamics on networks with arbitrary subgraph composition
Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher tha...
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Article
Open AccessIdentification of Criticality in Neuronal Avalanches: II. A Theoretical and Empirical Investigation of the Driven Case
The observation of apparent power laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of sel...
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Article
Open AccessIdentification of Criticality in Neuronal Avalanches: I. A Theoretical Investigation of the Non-driven Case
In this paper, we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate ...
