Percolation on complex networks: Theory and application

M Li, RR Liu, L Lü, MB Hu, S Xu, YC Zhang - Physics Reports, 2021 - Elsevier
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Epidemic processes in complex networks

R Pastor-Satorras, C Castellano, P Van Mieghem… - Reviews of modern …, 2015 - APS
In recent years the research community has accumulated overwhelming evidence for the
emergence of complex and heterogeneous connectivity patterns in a wide range of …

Mathematics of epidemics on networks

IZ Kiss, JC Miller, PL Simon - Cham: Springer, 2017 - Springer
Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

Modeling and pricing cyber insurance: Idiosyncratic, systematic, and systemic risks

K Awiszus, T Knispel, I Penner, G Svindland… - European Actuarial …, 2023 - Springer
The paper provides a comprehensive overview of modeling and pricing cyber insurance and
includes clear and easily understandable explanations of the underlying mathematical …

Contact-based model for epidemic spreading on temporal networks

A Koher, HHK Lentz, JP Gleeson, P Hövel - Physical Review X, 2019 - APS
We present a contact-based model to study the spreading of epidemics by means of
extending the dynamic message-passing approach to temporal networks. The shift in …

Logistic growth on networks: Exact solutions for the susceptible-infected model

W Merbis, I Lodato - Physical Review E, 2022 - APS
The susceptible-infected (SI) model is the most basic of all compartmental models used to
describe the spreading of information through a population. Despite its apparent simplicity …

Optimal allocation of resources for suppressing epidemic spreading on networks

H Chen, G Li, H Zhang, Z Hou - Physical Review E, 2017 - APS
Efficient allocation of limited medical resources is crucial for controlling epidemic spreading
on networks. Based on the susceptible-infected-susceptible model, we solve the …

Exact and approximate moment closures for non-Markovian network epidemics

L Pellis, T House, MJ Keeling - Journal of theoretical biology, 2015 - Elsevier
Moment-closure techniques are commonly used to generate low-dimensional deterministic
models to approximate the average dynamics of stochastic systems on networks. The quality …

Systematic approximations to susceptible-infectious-susceptible dynamics on networks

MJ Keeling, T House, AJ Cooper… - PLoS computational …, 2016 - journals.plos.org
Network-based infectious disease models have been highly effective in elucidating the role
of contact structure in the spread of infection. As such, pair-and neighbourhood-based …

Funnel theorems for spreading on networks

G Fibich, T Levin, S Schochet - arXiv preprint arXiv:2411.12037, 2024 - arxiv.org
We derive novel analytic tools for the Bass and SI models on networks for the spreading of
innovations and epidemics on networks. We prove that the correlation between the …