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This paper extends the canonical model of epidemiology, SIRD model, to allow for time varying parameters for real-time measurement of the stance of the COVID-19 pandemic. Time variation in model parameters is captured using the generalized…

Populations and Evolution · Quantitative Biology 2021-02-11 Cem Cakmakli , Yasin Simsek

Accurate forecasting of infectious disease incidence is critical for public health planning and timely intervention. While most data-driven forecasting approaches rely primarily on historical data from a single country, such data are often…

Populations and Evolution · Quantitative Biology 2026-01-29 Zacharias Komodromos , Kleanthis Malialis , Artemis Kontou , Panayiotis Kolios

This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

A central pillar of the UK's response to the SARS-CoV-2 pandemic was the provision of up-to-the moment nowcasts and short term projections to monitor current trends in transmission and associated healthcare burden. Here we present a…

COVID-19 remains a challenging global threat with ongoing waves of infections and clinical disease which have resulted millions of deaths and an enormous strain on health systems worldwide. Effective vaccines have been developed for the…

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

In this paper, it is shown that the Moyal distribution is an excelent tool to study the SARS-Cov-II (Covid-19) epidemiological associated curves and its propagation. The Moyal parameters give all the information to describe the form and the…

Populations and Evolution · Quantitative Biology 2020-06-11 Jose de Jesus Bernal-Alvarado , David Delepine

Predicting an accurate expected number of future COVID-19 cases is essential to properly evaluate the effectiveness of any treatment or preventive measure. This study aimed to identify the most appropriate mathematical model to…

Populations and Evolution · Quantitative Biology 2021-04-07 Natalia Blanco , Kristen Stafford , Marie-Claude Lavoie , Axel Brandenburg , Maria W. Gorna , Matthew Merski

A simplified susceptible-infected-recovered (SIR) epidemic model and a small-world model are applied to analyse the spread and control of Severe Acute Respiratory Syndrome (SARS) for Hong Kong in early 2003. From data available in mid April…

Populations and Evolution · Quantitative Biology 2007-05-23 Pengliang Shi , Michael Small

The advent of the COVID-19 pandemic has instigated unprecedented changes in many countries around the globe, putting a significant burden on the health sectors, affecting the macro economic conditions, and altering social interactions…

Physics and Society · Physics 2020-07-23 Dmitry Gordeev , Philipp Singer , Marios Michailidis , Mathias Müller , SriSatish Ambati

The COVID-19 pandemic has forced policy makers to decree urgent confinements to stop a rapid and massive contagion. However, after that stage, societies are being forced to find an equilibrium between the need to reduce contagion rates and…

Since the end of 2019, COVID-19 has significantly affected the lives of people around the world. Towards the end of 2020, several COVID-19 vaccine candidates with relatively high efficacy have been reported in the final phase of clinical…

Physics and Society · Physics 2021-01-20 W. K. Wong , Filbert H. Juwono , Tock H. Chua

We consider the $SEIRS$ epidemiology model with such features of the COVID-19 outbreak as: abundance of unidentified infected individuals, limited time of immunity and a possibility of vaccination. Within a compartmental realization of this…

Populations and Evolution · Quantitative Biology 2021-12-07 Jaroslav Ilnytskyi , Taras Patsahan

The rapid worldwide spread of the severe acute respiratory syndrome (SARS) demonstrated the potential threat an infectious disease poses in a closely interconnected and interdependent world. Here we introduce a probabilistic model which…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Hufnagel , D. Brockmann , T. Geisel

In this article, we investigate the importance of demographic and contact patterns in determining the spread of COVID-19 and to the effectiveness of social distancing policies. We investigate these questions proposing an augmented…

Populations and Evolution · Quantitative Biology 2022-05-12 M. A. Ridenti , L. K. Teles , A. Maranhão , V. K. Teles

The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a…

Populations and Evolution · Quantitative Biology 2021-02-24 Dimiter Prodanov

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

We investigate phase transitions associated with three control methods for epidemics on small world networks. Motivated by the behavior of SARS-CoV-2, we construct a theoretical SIR model of a virus that exhibits presymptomatic,…

Physics and Society · Physics 2020-07-13 Benjamin Braun , Başak Taraktaş , Brian Beckage , Jane Molofsky

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

Optimization and Control · Mathematics 2020-01-03 Chao Shang , Fengqi You

We analyze an optimal control version of a simple SIR epidemiology model that includes a partially specified vaccination policy and takes into account fatigue from protracted application of social distancing measures. The model assumes…

Populations and Evolution · Quantitative Biology 2021-08-17 Evangelos F. Magirou