Networks and the epidemiology of infectious disease

L Danon, AP Ford, T House, CP Jewell… - Interdisciplinary …, 2011 - Wiley Online Library
The science of networks has revolutionised research into the dynamics of interacting
elements. It could be argued that epidemiology in particular has embraced the potential of …

Stochastic formulation of ecological models and their applications

AJ Black, AJ McKane - Trends in ecology & evolution, 2012 - cell.com
The increasing use of computer simulation by theoretical ecologists started a move away
from models formulated at the population level towards individual-based models. However …

Measurability of the epidemic reproduction number in data-driven contact networks

QH Liu, M Ajelli, A Aleta, S Merler… - Proceedings of the …, 2018 - National Acad Sciences
The basic reproduction number is one of the conceptual cornerstones of mathematical
epidemiology. Its classical definition as the number of secondary cases generated by a …

[HTML][HTML] Using statistics and mathematical modelling to understand infectious disease outbreaks: COVID-19 as an example

CE Overton, HB Stage, S Ahmad… - Infectious Disease …, 2020 - Elsevier
During an infectious disease outbreak, biases in the data and complexities of the underlying
dynamics pose significant challenges in mathematically modelling the outbreak and …

Dynamics of infectious diseases

K Rock, S Brand, J Moir… - Reports on Progress in …, 2014 - iopscience.iop.org
Modern infectious disease epidemiology has a strong history of using mathematics both for
prediction and to gain a deeper understanding. However the study of infectious diseases is …

[HTML][HTML] Seven challenges for metapopulation models of epidemics, including households models

F Ball, T Britton, T House, V Isham, D Mollison, L Pellis… - Epidemics, 2015 - Elsevier
This paper considers metapopulation models in the general sense, ie where the population
is partitioned into sub-populations (groups, patches,...), irrespective of the biological …

[HTML][HTML] Reproduction numbers for epidemic models with households and other social structures. I. Definition and calculation of R0

L Pellis, F Ball, P Trapman - Mathematical biosciences, 2012 - Elsevier
The basic reproduction number R0 is one of the most important quantities in epidemiology.
However, for epidemic models with explicit social structure involving small mixing units such …

How big is an outbreak likely to be? Methods for epidemic final-size calculation

T House, JV Ross, D Sirl - Proceedings of the Royal …, 2013 - royalsocietypublishing.org
Epidemic models have become a routinely used tool to inform policy on infectious disease.
A particular interest at the moment is the use of computationally intensive inference to …

Incorporating household structure and demography into models of endemic disease

J Hilton, MJ Keeling - Journal of the Royal Society …, 2019 - royalsocietypublishing.org
The spread of infectious diseases is intimately linked with the strength and type of contact
between individuals. Multiple observational and modelling studies have highlighted the …

[HTML][HTML] Deterministic epidemic models on contact networks: Correlations and unbiological terms

KJ Sharkey - Theoretical population biology, 2011 - Elsevier
The relationship between system-level and subsystem-level master equations is
investigated and then utilised for a systematic and potentially automated derivation of the …