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 …

Social interactions are required for the direct transmission of infectious diseases.
Consequently, the social network structure of populations plays a key role in sha** …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

Being able to characterise the patterns of communications between individuals across
different time scales is of great importance in understanding people's social interactions …