Moment closure—a brief review

C Kuehn - Control of self-organizing nonlinear systems, 2016 - Springer
Moment closure methods appear in myriad scientific disciplines in the modelling of complex
systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled …

The role of social structure and dynamics in the maintenance of endemic disease

MJ Silk, NH Fefferman - Behavioral Ecology and Sociobiology, 2021 - Springer
Social interactions are required for the direct transmission of infectious diseases.
Consequently, the social network structure of populations plays a key role in shaping …

Synchronization in networks with multiple interaction layers

CI Del Genio, J Gómez-Gardeñes, I Bonamassa… - Science …, 2016 - science.org
The structure of many real-world systems is best captured by networks consisting of several
interaction layers. Understanding how a multilayered structure of connections affects the …

Cascading failure of complex networks based on load redistribution and epidemic process

Z Jin, D Duan, N Wang - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
Diseases spreading over humans and animals is a ubiquitous process that has attracted
much attention recently. To deeply explore the dynamics of the disease spread process on …

Degree correlations in directed scale-free networks

O Williams, CI Del Genio - PloS one, 2014 - journals.plos.org
Scale-free networks, in which the distribution of the degrees obeys a power-law, are
ubiquitous in the study of complex systems. One basic network property that relates to the …

Exact sampling of graphs with prescribed degree correlations

KE Bassler, CI Del Genio, PL Erdős, I Miklós… - New Journal of …, 2015 - iopscience.iop.org
Many real-world networks exhibit correlations between the node degrees. For instance, in
social networks nodes tend to connect to nodes of similar degree and conversely, in …

Turing pattern of an SIRI model on large-scale homogeneous and heterogeneous networks

L He, H Su - Nonlinear Dynamics, 2023 - Springer
Taking into account the spatial flow and relapse behaviors, this paper establishes a network-
organized reaction-diffusion system for disease spreading with Laplacian matrices. In this …

Finding network communities using modularity density

F Botta, CI Del Genio - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
Many real-world complex networks exhibit a community structure, in which the modules
correspond to actual functional units. Identifying these communities is a key challenge for …

Fast and accurate determination of modularity and its effect size

S Trevino, A Nyberg, CI Del Genio… - Journal of Statistical …, 2015 - iopscience.iop.org
We present a fast spectral algorithm for community detection in complex networks. Our
method searches for the partition with the maximum value of the modularity via the interplay …

Analysis of the communities of an urban mobile phone network

F Botta, CI Del Genio - PloS one, 2017 - journals.plos.org
Being able to characterise the patterns of communications between individuals across
different time scales is of great importance in understanding people's social interactions …