Time-dependent heterogeneity leads to transient suppression of the COVID-19 epidemic, not herd immunity

AV Tkachenko, S Maslov, A Elbanna… - Proceedings of the …, 2021 - National Acad Sciences
Epidemics generally spread through a succession of waves that reflect factors on multiple
timescales. On short timescales, superspreading events lead to burstiness and …

Computational applications of extended SIR models: A review focused on airborne pandemics

T Lazebnik - Ecological Modelling, 2023 - Elsevier
Epidemiological-Mathematical models are powerful tools for estimating the course of a
pandemic and exploring different scenarios through pandemic intervention policies (PIPs) …

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 …

[HTML][HTML] Nine challenges for deterministic epidemic models

M Roberts, V Andreasen, A Lloyd, L Pellis - Epidemics, 2015 - Elsevier
Deterministic models have a long history of being applied to the study of infectious disease
epidemiology. We highlight and discuss nine challenges in this area. The first two concern …

Master equations and the theory of stochastic path integrals

MF Weber, E Frey - Reports on Progress in Physics, 2017 - iopscience.iop.org
This review provides a pedagogic and self-contained introduction to master equations and
to their representation by path integrals. Since the 1930s, master equations have served as …

Modeling COVID-19 dynamics in Illinois under nonpharmaceutical interventions

GN Wong, ZJ Weiner, AV Tkachenko, A Elbanna… - Physical Review X, 2020 - APS
We present modeling of the COVID-19 epidemic in Illinois, USA, capturing the
implementation of a stay-at-home order and scenarios for its eventual release. We use a non …

Digital twins based on bidirectional LSTM and GAN for modelling the COVID-19 pandemic

C Quilodrán-Casas, VLS Silva, R Arcucci, CE Heaney… - Neurocomputing, 2022 - Elsevier
The outbreak of the coronavirus disease 2019 (COVID-19) has now spread throughout the
globe infecting over 150 million people and causing the death of over 3.2 million people …

Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

P Forgács, A Libál, C Reichhardt, N Hengartner… - Scientific Reports, 2022 - nature.com
The widely used susceptible-infected-recovered (SIR) epidemic model assumes a uniform,
well-mixed population, and incorporation of spatial heterogeneities remains a major …

Dynamics of Zika virus outbreaks: an overview of mathematical modeling approaches

A Wiratsudakul, P Suparit, C Modchang - PeerJ, 2018 - peerj.com
Background The Zika virus was first discovered in 1947. It was neglected until a major
outbreak occurred on Yap Island, Micronesia, in 2007. Teratogenic effects resulting in …

Controlling the outbreak of COVID-19: A noncooperative game perspective

AK Bairagi, M Masud, MS Munir, AA Nahid… - Ieee …, 2020 - ieeexplore.ieee.org
COVID-19 is a global epidemic. Till now, there is no remedy for this epidemic. However,
isolation and social distancing are seemed to be effective preventive measures to control …