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 …

Network properties revealed through matrix functions

E Estrada, DJ Higham - SIAM review, 2010 - SIAM
The emerging field of network science deals with the tasks of modeling, comparing, and
summarizing large data sets that describe complex interactions. Because pairwise affinity …

Dynamic networks: models and algorithms

F Kuhn, R Oshman - ACM SIGACT News, 2011 - dl.acm.org
The study of dynamic networks has come into popularity recently, and many models and
algorithms for such networks have been suggested. In this column we survey some recent …

Random graph models for dynamic networks

X Zhang, C Moore, MEJ Newman - The European Physical Journal B, 2017 - Springer
Recent theoretical work on the modeling of network structure has focused primarily on
networks that are static and unchanging, but many real-world networks change their …

Communicability across evolving networks

P Grindrod, MC Parsons, DJ Higham, E Estrada - Physical Review E …, 2011 - APS
Many natural and technological applications generate time-ordered sequences of networks,
defined over a fixed set of nodes; for example, time-stamped information about “who phoned …

Components in time-varying graphs

V Nicosia, J Tang, M Musolesi, G Russo… - … journal of nonlinear …, 2012 - pubs.aip.org
Real complex systems are inherently time-varying. Thanks to new communication systems
and novel technologies, today it is possible to produce and analyze social and biological …

Experimental evolution of dispersal: Unifying theory, experiments and natural systems

N Lustenhouwer, F Moerman, F Altermatt… - Journal of Animal …, 2023 - Wiley Online Library
Dispersal is a central life history trait that affects the ecological and evolutionary dynamics of
populations and communities. The recent use of experimental evolution for the study of …

Spatio-temporal networks: reachability, centrality and robustness

MJ Williams, M Musolesi - Royal Society open science, 2016 - royalsocietypublishing.org
Recent advances in spatial and temporal networks have enabled researchers to more-
accurately describe many real-world systems such as urban transport networks. In this …

Epidemic threshold and control in a dynamic network

M Taylor, TJ Taylor, IZ Kiss - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
In this paper we present a model describing susceptible-infected-susceptible-type
epidemics spreading on a dynamic contact network with random link activation and deletion …

Sharp thresholds in random simple temporal graphs

A Casteigts, M Raskin, M Renken, V Zamaraev - SIAM Journal on Computing, 2024 - SIAM
A graph whose edges only appear at certain points in time is called a temporal graph
(among other names). Such a graph is temporally connected if each ordered pair of vertices …