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 …

Multilayer networks

M Kivelä, A Arenas, M Barthelemy… - Journal of complex …, 2014 - academic.oup.com
In most natural and engineered systems, a set of entities interact with each other in
complicated patterns that can encompass multiple types of relationships, change in time and …

Dynamical systems on networks

MA Porter, JP Gleeson - Frontiers in Applied Dynamical Systems: Reviews …, 2016 - Springer
Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

Spreading processes in multilayer networks

M Salehi, R Sharma, M Marzolla… - … on Network Science …, 2015 - ieeexplore.ieee.org
Several systems can be modeled as sets of interconnected networks or networks with
multiple types of connections, here generally called multilayer networks. Spreading …

Macroscopic patterns of interacting contagions are indistinguishable from social reinforcement

L Hébert-Dufresne, SV Scarpino, JG Young - Nature Physics, 2020 - nature.com
From 'fake news' to innovative technologies, many contagions spread as complex
contagions via a process of social reinforcement, where multiple exposures are distinct from …

Nonlinearity+ networks: A 2020 vision

MA Porter - Emerging frontiers in nonlinear science, 2020 - Springer
I briefly survey several fascinating topics in networks and nonlinearity. I highlight a few
methods and ideas, including several of personal interest, that I anticipate to be especially …

Complex dynamics of synergistic coinfections on realistically clustered networks

L Hébert-Dufresne… - Proceedings of the …, 2015 - National Acad Sciences
We investigate the impact of contact structure clustering on the dynamics of multiple
diseases interacting through coinfection of a single individual, two problems typically studied …

Generalization of pairwise models to non-Markovian epidemics on networks

IZ Kiss, G Röst, Z Vizi - Physical review letters, 2015 - APS
In this Letter, a generalization of pairwise models to non-Markovian epidemics on networks
is presented. For the case of infectious periods of fixed length, the resulting pairwise model …

Epidemic spread in networks: Existing methods and current challenges

JC Miller, IZ Kiss - Mathematical modelling of natural phenomena, 2014 - cambridge.org
We consider the spread of infectious disease through contact networks of Configuration
Model type. We assume that the disease spreads through contacts and infected individuals …

[HTML][HTML] Seasonality of respiratory viruses causing hospitalizations for acute respiratory infections in children in Nha Trang, Vietnam

BM Althouse, S Flasche, VD Thiem… - International Journal of …, 2018 - Elsevier
Abstract Background Acute respiratory infections (ARIs) are the most common causes of
death in children under 5 years of age. While the etiology of most pneumonia and ARI …