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Efficient personnel scheduling plays a significant role in matching workload demand in organizations. However, staff scheduling is sometimes affected by unexpected events, such as the COVID-19 pandemic, that disrupt regular operations.…

Optimization and Control · Mathematics 2023-01-10 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Justin M. Calabrese

This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of…

Populations and Evolution · Quantitative Biology 2025-09-17 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who have recovered from the disease as quickly…

Information Theory · Computer Science 2022-06-15 Melih Bastopcu , Sennur Ulukus

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

Applications · Statistics 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

A deterministic model with testing of infected individuals has been proposed to investigate the potential consequences of the impact of testing strategy. The model exhibits global dynamics concerning the disease-free and a unique endemic…

Populations and Evolution · Quantitative Biology 2023-05-24 Sarita Bugalia , Jai Prakash Tripathi

As humanity struggles to contain the global Covid-19 infection, prophylactic actions are grandly slowed down by the shortage of testing kits. Governments have taken several measures to work around this shortage: the FDA has become more…

In this work, we provide a general mathematical formalism to study the optimal control of an epidemic, such as the COVID-19 pandemic, via incentives to lockdown and testing. In particular, we model the interplay between the government and…

Populations and Evolution · Quantitative Biology 2022-04-14 Emma Hubert , Thibaut Mastrolia , Dylan Possamaï , Xavier Warin

We study the relative importance of two key control measures for epidemic spreading: endogenous social self-distancing and exogenous imposed quarantine. We use the framework of adaptive networks, moment-closure, and ordinary differential…

Populations and Evolution · Quantitative Biology 2020-10-22 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

We study the problem usually referred to as group testing in the context of COVID-19. Given n samples collected from patients, how should we select and test mixtures of samples to maximize information and minimize the number of tests? Group…

Machine Learning · Computer Science 2020-08-07 Louis Abraham , Gary Becigneul , Benjamin Coleman , Bernhard Scholkopf , Anshumali Shrivastava , Alexander Smola

Some patients with COVID-19 show changes in signs and symptoms such as temperature and oxygen saturation days before being positively tested for SARS-CoV-2, while others remain asymptomatic. It is important to identify these subgroups and…

Methodology · Statistics 2024-10-22 Xiaoran Ma , Wensheng Guo , Mengyang Gu , Len Usvyat , Peter Kotanko , Yuedong Wang

Estimates from infectious disease models have constituted a significant part of the scientific evidence used to inform the response to the COVID-19 pandemic in the UK. These estimates can vary strikingly in their bias and variability.…

Applications · Statistics 2022-10-12 R. E. Moore , C. Rosato , S. Maskell

This study introduces a stochastic model of COVID-19 transmission tailored to the Colorado School of Mines campus and evaluates surveillance testing strategies within a university context. Enhancing the conventional SEIR framework with…

Applications · Statistics 2024-04-09 Laura Albrecht , Karin Leiderman , Suzanne Sindi , Douglas Nychka

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who recovered from the disease as quickly as…

Computers and Society · Computer Science 2020-12-29 Melih Bastopcu , Sennur Ulukus

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

In epidemic or pandemic situations, resources for testing the infection status of individuals may be scarce. Although group testing can help to significantly increase testing capabilities, the (repeated) testing of entire populations can…

Populations and Evolution · Quantitative Biology 2021-10-29 Günther Koliander , Georg Pichler

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…

As the COVID-19 pandemic progresses, researchers are reporting findings of randomized trials comparing standard care with care augmented by experimental drugs. The trials have small sample sizes, so estimates of treatment effects are…

Econometrics · Economics 2020-06-02 Charles F. Manski , Aleksey Tetenov

This paper proposes a feedback design that effectively copes with uncertainties for reliable epidemic monitoring and control. There are several optimization-based methods to estimate the parameters of an epidemic model by utilizing past…

Optimization and Control · Mathematics 2023-04-06 Muhammad Umar B. Niazi , Philip E. Paré , Karl H. Johansson

Analysis of policies for managing epidemics require simultaneously an economic and epidemiological perspective. We adopt a cost-of-policy framework to model both the virus spread and the cost of handling the pandemic. Because it is harder…

General Economics · Economics 2021-02-10 Jacob Janssen , Yaneer Bar-Yam
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