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The SEIR model is a widely used epidemiological model used to predict the rise in infections. This model has been widely used in different countries to predict the number of Covid-19 cases. But the original SEIR model does not take into…

Machine Learning · Computer Science 2021-10-08 Sathiyanarayanan Sampath , Joy Bose

This article considers the optimal control of the SIR model with both transmission and treatment uncertainty. It follows the model presented in Gatto and Schellhorn (2021). We make four significant improvements on the latter paper. First,…

Optimization and Control · Mathematics 2021-05-20 Yujia Ding , Henry Schellhorn

This contribution analyzes the COVID-19 outbreak by comparably simple mathematical and numerical methods. The final goal is to predict the peak of the epidemic outbreak per country with a reliable technique. This is done by an algorithm…

Physics and Society · Physics 2020-05-15 Robert Schaback

The recent coronavirus outbreak has made governments face an inconvenient tradeoff choice, i.e. the choice between saving lives and saving the economy, forcing them to make immensely consequential decisions among alternative courses of…

General Economics · Economics 2022-09-07 Ali Zeytoon-Nejad , Tanzid Hasnain

National responses to the Covid-19 pandemic varied markedly across countries, from business-as-usual to complete shutdowns. Policies aimed at disrupting the viral transmission cycle and preventing the healthcare system from being…

Populations and Evolution · Quantitative Biology 2021-10-27 Arash Saeidpour , Pejman Rohani

The global COVID-19 pandemic (SARS-CoV-2 virus) is the defining health crisis of our century. Due to the absence of vaccines and drugs that can help to fight it, the world solution to control the spread has been to consider public social…

Populations and Evolution · Quantitative Biology 2020-05-22 Marcelo Menezes Morato , Saulo Benchimol Bastos , Daniel Oliveira Cajueiro , Julio Elias Normey-Rico

We study the effectiveness of tracking and testing in mitigating or suppressing epidemic outbreaks, in combination with or as an alternative to quarantines and global lockdowns. We study these intervention methods on a network-based SEIR…

Populations and Evolution · Quantitative Biology 2020-07-15 Yoav Kolumbus , Noam Nisan

The present ongoing global pandemic caused by SARS-CoV-2 virus is creating havoc across the world. The absence of any vaccine as well as any definitive drug to cure, has made the situation very grave. Therefore only few effective tools are…

Many of the control policies that were put into place during the Covid-19 pandemic had a common goal: to flatten the curve of the number of infected people so that its peak remains under a critical threshold. This letter considers the…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Francesco Di Lauro , István Z. Kiss , Daniela Rus , Cosimo Della Santina

The goal of this work is to study the optimal controls for the COVID-19 epidemic in Brazil. We consider an age-structured SEIRQ model with quarantine compartment, where the controls are the quarantine entrance parameters. We then compare…

Populations and Evolution · Quantitative Biology 2020-05-21 João A. M. Gondim , Larissa Machado

Whenever countries are threatened by a pandemic, as is the case with the COVID-19 virus, governments should take the right actions to safeguard public health as well as to mitigate the negative effects on the economy. In this regard, there…

Machine Learning · Computer Science 2020-05-18 Luis Miralles-Pechuán , Fernando Jiménez , Hiram Ponce , Lourdes Martínez-Villaseñor

The COVID-19 pandemic led several countries to resort to social distancing, the only known way to slow down the spread of the virus and keep the health system under control. Here we use an individual based model (IBM) to study how the…

Populations and Evolution · Quantitative Biology 2020-08-18 Vitor M. Marquioni , Marcus A. M. de Aguiar

The SARS-CoV-2 infectious outbreak has rapidly spread across the globe and precipitated varying policies to effectuate physical distancing to ameliorate its impact. In this study, we propose a new hybrid machine learning model, SIRNet, for…

Populations and Evolution · Quantitative Biology 2020-04-23 Nicholas Soures , David Chambers , Zachariah Carmichael , Anurag Daram , Dimpy P. Shah , Kal Clark , Lloyd Potter , Dhireesha Kudithipudi

Social distancing has been enacted in order to mitigate the spread of COVID-19. Like many authors, we adopt the classic epidemic SIR model, where the infection rate is the control variable. Its differential flatness property yields ele…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Michel Fliess , Cédric Join , Alberto d'Onofrio

Epidemics of infectious diseases posing a serious risk to human health have occurred throughout history. During recent epidemics there has been much debate about policy, including how and when to impose restrictions on behaviour.…

Theoretical Economics · Economics 2024-04-08 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto , Matthew S. Turner

The COVID-19 pandemic has proved to be one of the most disruptive public health emergencies in recent memory. Among non-pharmaceutical interventions, social distancing and lockdown measures are some of the most common tools employed by…

Dynamical Systems · Mathematics 2021-02-16 Carl Corcoran , John Michael Clark

While several non-pharmacological measures have been implemented for a few months in an effort to slow the coronavirus disease (COVID-19) pandemic in the United States, the disease remains a danger in a number of counties as restrictions…

Physics and Society · Physics 2021-04-06 Chao Fan , Xiangqi Jiang , Ronald Lee , Ali Mostafavi

Mass public quarantining, colloquially known as a lock-down, is a non-pharmaceutical intervention to check spread of disease. This paper presents ESOP (Epidemiologically and Socio-economically Optimal Policies), a novel application of…

Populations and Evolution · Quantitative Biology 2020-06-16 Amit Chandak , Debojyoti Dey , Bhaskar Mukhoty , Purushottam Kar

We consider a behavioral-feedback SIR epidemic model, in which the infection rate depends in feedback on the fractions of susceptible and infected agents, respectively. The considered model allows one to account for endogenous adaptation…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

We investigate adaptive strategies to robustly and optimally control the COVID-19 pandemic via social distancing measures based on the example of Germany. Our goal is to minimize the number of fatalities over the course of two years without…

Populations and Evolution · Quantitative Biology 2021-02-09 Johannes Köhler , Lukas Schwenkel , Anne Koch , Julian Berberich , Patricia Pauli , Frank Allgöwer