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We design and analyze a multi-level game-theoretic model of hierarchical policy interventions for epidemic control, such as those in response to the COVID-19 pandemic. Our model captures the potentially mismatched priorities among a…

Computer Science and Game Theory · Computer Science 2022-08-05 Feiran Jia , Aditya Mate , Zun Li , Shahin Jabbari , Mithun Chakraborty , Milind Tambe , Michael Wellman , Yevgeniy Vorobeychik

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 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…

We analyze the optimal control of disease prevention and treatment in a basic SIS model. We develop a simple macroeconomic setup in which the social planner determines how to optimally intervene, through income taxation, in order to…

Theoretical Economics · Economics 2019-10-09 Davide La Torre , Tufail Malik , Simone Marsiglio

The outbreak of COVID-19 has highlighted the intricate interplay between public health and economic stability on a global scale. This study proposes a novel reinforcement learning framework designed to optimize health and economic outcomes…

Machine Learning · Computer Science 2024-05-01 Maeghal Jain , Ziya Uddin , Wubshet Ibrahim

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

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

A large number of recent studies consider a compartmental SIR model to study optimal control policies aimed at containing the diffusion of COVID-19 while minimizing the economic costs of preventive measures. Such problems are non-convex and…

Optimization and Control · Mathematics 2022-12-21 Alessandro Calvia , Fausto Gozzi , Francesco Lippi , Giovanni Zanco

In this work, we develop a spatial SEIAR-type epidemic model considering a quarantined population (denoted as Q), which we call the SQEIAR model. The dynamics of the SQEIAR model are described by six Partial Differential Equations (PDEs)…

Dynamical Systems · Mathematics 2025-01-27 Elghandouri Mohammed , Ezzinbi Khalil , Youness Mezzan

This study explores the application of Pontryagin's Maximum Principle to derive optimal strategies for controlling the spread of COVID-19, leveraging a novel compartmental model to capture the disease dynamics. We prioritize three key…

In this paper we propose a data-driven model for the spread of SARS-CoV-2 and use it to design optimal control strategies of human-mobility restrictions that both curb the epidemic and minimize the economic costs associated with…

Optimization and Control · Mathematics 2021-05-21 Mikhail Hayhoe , Francisco Barreras , Victor M. Preciado

By the end of 2021, COVID-19 had spread to over 230 countries, with over 5.4 million deaths. To contain its spread, many countries implemented non-pharmaceutical interventions, notably contact tracing and self-quarantine policies. However,…

Populations and Evolution · Quantitative Biology 2024-11-14 Jungwoo Kim , Taesik Lee

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

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

While many efforts are currently devoted to vaccines development and administration, social distancing measures, including severe restrictions such as lockdowns, remain fundamental tools to contain the spread of COVID-19. A crucial point…

Systems and Control · Electrical Eng. & Systems 2021-09-03 Mauro Bisiacco , Gianluigi Pillonetto

In this paper, we propose a two-group SIR epidemic model to simulate the outcome of stay-at-home policy and wearing face masks during the first COVID-19 epidemic wave in the United States. Based on our proposed model, we further use the…

Populations and Evolution · Quantitative Biology 2021-01-11 Jun Liu , Xiang-Sheng Wang

The COVID-19 crisis has shown that we can only prevent the risk of mass contagion through timely, large-scale, coordinated, and decisive actions. However, frequently the models used by experts [from whom decision-makers get their main…

Applications · Statistics 2021-03-08 Mauricio Herrera

Without vaccines and treatments, societies must rely on non-pharmaceutical intervention strategies to control the spread of emerging diseases such as COVID-19. Though complete lockdown is epidemiologically effective, because it eliminates…

Populations and Evolution · Quantitative Biology 2021-01-08 Jason Hindes , Simone Bianco , Ira B. Schwartz

We study variants of the SEIR model for interpreting some qualitative features of the statistics of the Covid-19 epidemic in France. Standard SEIR models distinguish essentially two regimes: either the disease is controlled and the number…

Populations and Evolution · Quantitative Biology 2020-06-25 Jean Dolbeault , Gabriel Turinici

At the time of writing, the ongoing COVID-19 pandemic, caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), had already resulted in more than thirty-two million cases infected and more than one million deaths worldwide.…

Optimization and Control · Mathematics 2023-03-22 Chung-Han Hsieh