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In this paper, we study an optimal control problem of a communicable disease in a prison population. In order to control the spread of the disease inside a prison, we consider an active case-finding strategy, consisting on screening a…

Optimization and Control · Mathematics 2020-11-06 Pedro Gajardo , Victor Riquelme , Diego Vicencio

The impact of mitigation or control measures on an epidemics can be estimated by fitting the parameters of a compartmental model to empirical data, and running the model forward with modified parameters that account for a specific measure.…

Populations and Evolution · Quantitative Biology 2020-04-10 Jacopo Grilli , Matteo Marsili , Guido Sanguinetti

Diagnostic testing followed by isolation of identified cases with subsequent tracing and quarantine of close contacts - often referred to as test-trace-isolate-and-quarantine (TTIQ) strategy - is one of the cornerstone measures of…

Populations and Evolution · Quantitative Biology 2024-03-14 Julian Heidecke , Jan Fuhrmann , Maria Vittoria Barbarossa

The SIQR model is reformulated where compartments for infected and quarantined are redefined so as to be appropriate to COVID-19, and exact properties of the model are presented. It is shown that the maximum number of infected at large…

Physics and Society · Physics 2020-12-30 Takashi Odagaki

The importance of a strict quarantine has been widely debated during the COVID-19 epidemic even from the purely epidemiological point of view. One argument against strict lockdown measures is that once the strict quarantine is lifted, the…

Physics and Society · Physics 2021-02-03 Varun Nimmagadda , Oleg Kogan , Evgeniy Khain

The synthetic control method is an empirical methodology forcausal inference using observational data. By observing thespread of COVID-19 throughout the world, we analyze the dataon the number of deaths and cases in different regions…

Computers and Society · Computer Science 2020-09-29 Niloofar Bayat , Cody Morrin , Yuheng Wang , Vishal Misra

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

Applications · Statistics 2020-11-18 Li-Chun Zhang

Restrictions on social and economic activities, as well as vaccinations, have been a key intervention in containing the COVID-19 epidemic. Our work focuses on better understanding the options available to policymakers under the conditions…

Optimization and Control · Mathematics 2023-09-07 Franco Galante , Chiara Ravazzi , Michele Garetto , Emilio Leonardi

We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further extend the stochastic model suggested in \cite{us} and…

Populations and Evolution · Quantitative Biology 2020-04-10 Anatoly Zhigljavsky , Roger Whitaker , Ivan Fesenko , Kobi Kremnizer , Jack Noonan

This paper introduces a new optimal control model to describe and control the dynamics of infectious diseases. In the present model, the average time of isolation (i.e. hospitalization) of infectious population is the main time-dependent…

Optimization and Control · Mathematics 2015-05-06 Robin J. Evans , Musa Mammadov

An outbreak of respiratory disease caused by a novel coronavirus is ongoing from December 2019. As of July 22, 2020, it has caused an epidemic outbreak with more than 15 million confirmed infections and above 6 hundred thousand reported…

Populations and Evolution · Quantitative Biology 2021-05-21 Sk Shahid Nadim , Indrajit Ghosh , Joydev Chattopadhyay

After the blockade that many nations suffered to stop the growth of the incidence curve of COVID-19 during the first half of 2020, they face the challenge of resuming their social and economic activity. The rapid airborne transmissibility…

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies. The model captures the transmission dynamics of an…

Dynamical Systems · Mathematics 2025-07-29 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathematical models were employed to examine the dynamics of…

Physics and Society · Physics 2020-12-25 Ahmed S. Elgazzar

An innovative sampling strategy is proposed, which applies to large-scale population-based surveys targeting a rare trait that is unevenly spread over a geographical area of interest. Our proposal is characterised by the ability to tailor…

Methodology · Statistics 2020-04-07 Fulvia Mecatti , Charalambos Sismanidis , Emanuela Furfaro

As infectious disease outbreaks emerge, public health agencies often enact vaccination and social distancing measures to slow transmission. Their success depends on not only strategies and resources, but also public adherence. Individual…

Physics and Society · Physics 2018-08-20 José L. Herrera , Lauren Ancel Meyers

We introduce a methodology to guarantee safety against the spread of infectious diseases by viewing epidemiological models as control systems and by considering human interventions (such as quarantining or social distancing) as control…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Andrew W. Singletary , Gabor Orosz , Aaron D. Ames

We have established a novel mathematical model that considers various aspects of the spreading of the virus, including, the transmission based on being in the latent period, environment to human transmission, governmental decisions, and…

Quantitative Methods · Quantitative Biology 2020-08-31 Kamran Soltani , Ghader Rezazadeh

The emergence of novel COVID-19 causing an overload in health system and high mortality rate. The key priority is to contain the epidemic and prevent the infection rate. In this context, many countries are now in some degree of lockdown to…

Social and Information Networks · Computer Science 2020-05-21 Halgurd S. Maghdid , Kayhan Zrar Ghafoor

A number of theoretical models have been developed in recent years modelling epidemic spread in educational settings such as universities to help inform re-opening strategies during the Covid-19 pandemic. However, these studies have had…

Populations and Evolution · Quantitative Biology 2023-06-19 Alex Best , Prerna Singh