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 …

Optimal influenza vaccine distribution with equity

S Enayati, OY Özaltın - European Journal of Operational Research, 2020 - Elsevier
This paper is concerned with the optimal influenza vaccine distribution in a heterogeneous
population consisting of multiple subgroups. We employ a compartmental model for …

Network interventions for managing the COVID-19 pandemic and sustaining economy

A Nishi, G Dewey, A Endo, S Neman… - Proceedings of the …, 2020 - National Acad Sciences
Sustaining economic activities while curbing the number of new coronavirus disease 2019
(COVID-19) cases until effective vaccines or treatments become available is a major public …

FRED (A Framework for Reconstructing Epidemic Dynamics): an open-source software system for modeling infectious diseases and control strategies using census …

JJ Grefenstette, ST Brown, R Rosenfeld, J DePasse… - BMC public health, 2013 - Springer
Background Mathematical and computational models provide valuable tools that help public
health planners to evaluate competing health interventions, especially for novel …

Dengueme: A tool for the modeling and simulation of dengue spatiotemporal dynamics

TFM De Lima, RM Lana, TG de Senna Carneiro… - International journal of …, 2016 - mdpi.com
The prevention and control of dengue are great public health challenges for many countries,
particularly since 2015, as other arboviruses have been observed to interact significantly …

Using the contact network model and Metropolis-Hastings sampling to reconstruct the COVID-19 spread on the “Diamond Princess”

F Liu, X Li, G Zhu - Science bulletin, 2020 - Elsevier
Traditional compartmental models such as SIR (susceptible, infected, recovered) assume
that the epidemic transmits in a homogeneous population, but the real contact patterns in …

Temporal Gillespie algorithm: fast simulation of contagion processes on time-varying networks

CL Vestergaard, M Génois - PLoS computational biology, 2015 - journals.plos.org
Stochastic simulations are one of the cornerstones of the analysis of dynamical processes
on complex networks, and are often the only accessible way to explore their behavior. The …

Seasonality in risk of pandemic influenza emergence

SJ Fox, JC Miller, LA Meyers - PLoS computational biology, 2017 - journals.plos.org
Influenza pandemics can emerge unexpectedly and wreak global devastation. However,
each of the six pandemics since 1889 emerged in the Northern Hemisphere just after the flu …

[HTML][HTML] Translation of real-time infectious disease modeling into routine public health practice

DJ Muscatello, AA Chughtai, A Heywood… - Emerging infectious …, 2017 - ncbi.nlm.nih.gov
Infectious disease dynamic modeling can support outbreak emergency responses. We
conducted a workshop to canvas the needs of stakeholders in Australia for practical, real …

[HTML][HTML] Epidemic wave dynamics attributable to urban community structure: a theoretical characterization of disease transmission in a large network

AG Hoen, TJ Hladish, RM Eggo, M Lenczner… - Journal of medical …, 2015 - jmir.org
Background Multiple waves of transmission during infectious disease epidemics represent a
major public health challenge, but the ecological and behavioral drivers of epidemic …