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Social distancing has been the only effective way to contain the spread of an infectious disease prior to the availability of the pharmaceutical treatment. It can lower the infection rate of the disease at the economic cost. A pandemic…

Applications · Statistics 2020-12-07 Kexin Chen , Chi Seng Pun , Hoi Ying Wong

During an epidemic, the information available to individuals in the society deeply influences their belief of the epidemic spread, and consequently the preventive measures they take to stay safe from the infection. In this paper, we develop…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Shraddha Pathak , Ankur A. Kulkarni

We estimate the growth in demand for ICU beds in Chicago during the emerging COVID-19 epidemic, using state-of-the-art computer simulations calibrated for the SARS-CoV-2 virus. The questions we address are these: (1) Will the ICU capacity…

Populations and Evolution · Quantitative Biology 2020-03-24 Sergei Maslov , Nigel Goldenfeld

After the COVID-19 pandemic, we saw an increase in demand for epidemiological mathematical models. The goal of this work is to study the optimal control for an age-structured model as a strategy of quarantine of infected people, which is…

Optimization and Control · Mathematics 2024-11-04 Nelson L. Santos Junior , João A. M. Gondim

We study the impact of parameter estimation and state measurement errors on a control framework for optimally mitigating the spread of epidemics. We capture the epidemic spreading process using a susceptible-infected-removed (SIR) epidemic…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Baike She , Lei Xin , Shreyas Sundaram , Philip E. Paré

The traditional long-term solutions for epidemic control involve eradication or population immunity. Here, we analytically derive the existence of a third viable solution: a stable equilibrium at low case numbers, where…

Populations and Evolution · Quantitative Biology 2021-10-15 Sebastian Contreras , Jonas Dehning , Sebastian B. Mohr , Simon Bauer , F. Paul Spitzner , Viola Priesemann

Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individuals decreases and eventually fades only beyond this threshold,…

Optimization and Control · Mathematics 2020-06-11 Pierre-Alexandre Bliman , Michel Duprez , Yannick Privat , Nicolas Vauchelet

We propose a novel framework to study viral spreading processes in metapopulation models. Large subpopulations (i.e., cities) are connected via metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic infrastructure).…

Physics and Society · Physics 2013-08-20 Victor M. Preciado , Michael Zargham

Several recent studies have tackled the issue of optimal network immunization by providing efficient criteria to identify key nodes to be removed in order to break apart a network, thus preventing the occurrence of extensive epidemic…

Physics and Society · Physics 2018-02-22 Giovanni Strona , Claudio Castellano

This paper is based on the observation that, during Covid-19 epidemic, the choice of which individuals should be tested has an important impact on the effectiveness of selective confinement measures. This decision problem is closely related…

Physics and Society · Physics 2020-12-24 Matthias Pezzutto , Nicolas Bono Rossello , Luca Schenato , Emanuele Garone

After the introduction of drastic containment measures aimed at stopping the epidemic contagion from SARS-CoV2, many governments have adopted a strategy based on a periodic relaxation of such measures in the face of a severe economic crisis…

Populations and Evolution · Quantitative Biology 2021-06-10 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Nonpharmaceutical interventions (NPI) such as banning public events or instituting lockdowns have been widely applied around the world to control the current COVID-19 pandemic. Typically, this type of intervention is imposed when an…

Optimization and Control · Mathematics 2020-11-03 Carla Castillo-Laborde , Taco de Wolff , Pedro Gajardo , Rodrigo Lecaros , Gerard Olivar , Hector Ramirez C

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

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

In the framework of homogeneous susceptible-infected-recovered (SIR) models, we use a control theory approach to identify optimal pandemic mitigation strategies. We derive rather general conditions for reaching herd immunity while…

Populations and Evolution · Quantitative Biology 2021-07-05 Prakhar Godara , Stephan Herminghaus , Knut M. Heidemann

Pandemic control measures like lock-down, restrictions on restaurants and gatherings, social-distancing have shown to be effective in curtailing the spread of COVID-19. However, their sustained enforcement has negative economic effects. To…

I study the optimal regulation of a financial sector where individual banks face self-enforcing constraints countering their default incentives. The constrained-efficient social planner can improve over the unregulated equilibrium in two…

General Economics · Economics 2025-04-08 Aliaksandr Zaretski

Mobility restrictions - travel advisories, trade and travel bans, border closures and, in extreme cases, area quarantines or cordons sanitaires - are among the most widely used measures to control infectious diseases. Restrictions of this…

Populations and Evolution · Quantitative Biology 2020-09-09 Baltazar Espinoza , Carlos Castillo-Chavez , Charles Perrings

With a two-layer contact-dispersion model and data in China, we analyze the cost-effectiveness of three types of antiepidemic measures for COVID-19: regular epidemiological control, local social interaction control, and inter-city travel…

The mitigation of an infectious disease spreading has recently gained considerable attention from the research community. It may be obtained by adopting sanitary measurements social rules, together with an extensive vaccination campaign.…

Social and Information Networks · Computer Science 2022-02-17 Francesco Petrizzelli , Pietro Hiram Guzzi , Tommaso Mazza
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