Topological determinants of perturbation spreading in networks

X Zhang, D Witthaut, M Timme - Physical Review Letters, 2020 - APS
Spreading phenomena essentially underlie the dynamics of various natural and
technological networked systems, yet how spatiotemporal propagation patterns emerge from …

Front propagation and arrival times in networks with application to neurodegenerative diseases

P Putra, H Oliveri, T Thompson, A Goriely - SIAM Journal on Applied …, 2023 - SIAM
Many physical, epidemiological, or physiological dynamical processes on networks support
front-like propagation, where an initial localized perturbation grows and systematically …

Multi-region infectious disease prediction modeling based on spatio-temporal graph neural network and the dynamic model

X Wang, Z Jin - PLOS Computational Biology, 2025 - journals.plos.org
Human mobility between different regions is a major factor in large-scale outbreaks of
infectious diseases. Deep learning models incorporating infectious disease transmission …

Spreading properties for SIR models on homogeneous trees

C Besse, G Faye - Bulletin of Mathematical Biology, 2021 - Springer
We consider an epidemic model of SIR type set on a homogeneous tree and investigate the
spreading properties of the epidemic as a function of the degree of the tree, the intrinsic …

Calculation of epidemic arrival time distributions using branching processes

A Jamieson-Lane, B Blasius - Physical Review E, 2020 - APS
The rise of the World Airline Network over the past century has led to sharp changes in our
notions of “distance” and “closeness”—in terms of both trade and travel, but also (less …

Dynamic perturbation spreading in networks

M Schröder, X Zhang, J Wolter… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Understanding how local perturbations induce the transient dynamics of a network of
coupled units is essential to control and operate such systems. Often a perturbation initiated …

Epidemic spreading on complex networks as front propagation into an unstable state

A Armbruster, M Holzer, N Roselli… - Bulletin of mathematical …, 2023 - Springer
We study epidemic arrival times in meta-population disease models through the lens of front
propagation into unstable states. We demonstrate that several features of invasion fronts in …

Epidemic arrival times; theory, discussion, and limitations

A Jamieson-Lane, B Blasius - arXiv preprint arXiv:2004.05557, 2020 - arxiv.org
The rise of the World Airline Network over the past century has lead to sharp changes in our
notions ofdistance'andcloseness'-both in terms of trade and travel, but also (less desirably) …