[图书][B] Modelling epidemics on networks with static and time-varying topologies

A Koher - 2019 - search.proquest.com
We aim to develop epidemiological models that describe and predict the evolution of
infectious diseases. To this end, we integrate mobility data, represented by networks with …

Individual-based approach to epidemic processes on arbitrary dynamic contact networks

LEC Rocha, N Masuda - Scientific reports, 2016 - nature.com
The dynamics of contact networks and epidemics of infectious diseases often occur on
comparable time scales. Ignoring one of these time scales may provide an incomplete …

An analytical framework for the study of epidemic models on activity driven networks

L Zino, A Rizzo, M Porfiri - Journal of Complex Networks, 2017 - academic.oup.com
Network theory has greatly contributed to an improved understanding of epidemic
processes, offering an empowering framework for the analysis of real-world data, prediction …

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 …

Disease persistence on temporal contact networks accounting for heterogeneous infectious periods

A Darbon, D Colombi, E Valdano… - Royal Society …, 2019 - royalsocietypublishing.org
The infectious period of a transmissible disease is a key factor for disease spread and
persistence. Epidemic models on networks typically assume an identical average infectious …

Toward epidemic thresholds on temporal networks: a review and open questions

J Leitch, KA Alexander, S Sengupta - Applied Network Science, 2019 - Springer
Epidemiological contact network models have emerged as an important tool in
understanding and predicting spread of infectious disease, due to their capacity to engage …

[PDF][PDF] An effective degree model for epidemics on dynamic networks

M Taylor, TJ Taylor, IZ Kiss - arXiv preprint arXiv:1110.4000, 2011 - users.sussex.ac.uk
In this paper we present a new ODE based framework for modelling disease transmission
on dynamic contact networks. We adapt and extend the effective degree model for a static …

Time evolution of epidemic disease on finite and infinite networks

PA Noël, B Davoudi, RC Brunham, LJ Dubé… - Physical Review E …, 2009 - APS
Mathematical models of infectious diseases, which are in principle analytically tractable, use
two general approaches. The first approach, generally known as compartmental modeling …

[PDF][PDF] Exact and approximate epidemic models on networks: theory and applications

M Taylor - 2013 - core.ac.uk
This thesis is concerned with modelling the spread of diseases amongst host populations
and the epidemics that result from this process. We are primarily interested in how networks …

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 …