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To mitigate the impact of the pandemic, several measures include lockdowns, rapid vaccination programs, school closures, and economic stimulus. These interventions can have positive or unintended negative consequences. Current research to…

Machine Learning · Computer Science 2025-08-11 Gaurav Deshkar , Jayanta Kshirsagar , Harshal Hayatnagarkar , Janani Venugopalan

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

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

Infectious diseases and human behavior are intertwined. On one side, our movements and interactions are the engines of transmission. On the other, the unfolding of viruses might induce changes to our daily activities. While intuitive, our…

Physics and Society · Physics 2021-06-02 Nicola Perra

Balancing common disease treatment and epidemic control is a key objective of medical supplies procurement in hospitals during a pandemic such as COVID-19. This problem can be formulated as a bi-objective optimization problem for…

Neural and Evolutionary Computing · Computer Science 2020-08-04 Yu-Jun Zheng , Xin Chen , Tie-Er Gan , Min-Xia Zhang , Wei-Guo Sheng , Ling Wang

Combating an epidemic entails finding a plan that describes when and how to apply different interventions, such as mask-wearing mandates, vaccinations, school or workplace closures. An optimal plan will curb an epidemic with minimal loss of…

Machine Learning · Computer Science 2023-06-08 Anh Mai , Nikunj Gupta , Azza Abouzied , Dennis Shasha

This work introduces a novel epidemiological model that simultaneously considers multiple viral strains, reinfections due to waning immunity response over time and an optimal control formulation. This enables us to derive optimal mitigation…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Edilson F. Arruda , Dayse H. Pastore , Clauda M. Dias , Shyam S. Das

During decades, mathematical models have been used to predict the behavior of physical and biologic systems, and to define strategies aiming the minimization of the effects regarding different types of diseases. In the present days, the…

Populations and Evolution · Quantitative Biology 2020-04-22 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Gustavo Mendes Platt , Antônio José da Silva Neto

A novel coronavirus disease has emerged (later named COVID-19) and caused the world to enter a new reality, with many direct and indirect factors influencing it. Some are human-controllable (e.g. interventional policies, mobility and the…

Machine Learning · Computer Science 2021-01-12 Haonan Wu , Rajarshi Banerjee , Indhumathi Venkatachalam , Daniel Percy-Hughes , Praveen Chougale

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

This paper considers the problem of designing non-pharmaceutical intervention (NPI) strategies, such as masking and social distancing, to slow the spread of a viral epidemic. We formulate the problem of jointly minimizing the infection…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Shiyu Cheng , Luyao Niu , Bhaskar Ramasubramanian , Andrew Clark , Radha Poovendran

Facing a global epidemic of new infectious diseases such as COVID-19, non-pharmaceutical interventions (NPIs), which reduce transmission rates without medical actions, are being implemented around the world to mitigate spreads. One of the…

Populations and Evolution · Quantitative Biology 2021-03-04 Naoya Fujiwara , Tomokatsu Onaga , Takayuki Wada , Shouhei Takeuchi , Junji Seto , Tomoki Nakaya , Kazuyuki Aihara

In this study, we formulate a mathematical model incorporating age specific transmission dynamics of COVID-19 to evaluate the role of vaccination and treatment strategies in reducing the size of COVID-19 burden. Initially, we establish the…

Populations and Evolution · Quantitative Biology 2021-02-22 Bishal Chhetri , D. k. k. Vamsi , S Balasubramanian , Carani B Sanjeevi

Coronavirus disease 2019 (COVID-19) pandemic is an unprecedented global public health challenge. In the United States (US), state governments have implemented various non-pharmaceutical interventions (NPIs), such as physical distance…

Methodology · Statistics 2022-08-15 Shanghong Xie , Wenbo Wang , Qinxia Wang , Yuanjia Wang , Donglin Zeng

The investment of time and resources for better strategies and methodologies to tackle a potential pandemic is key to deal with potential outbreaks of new variants or other viruses in the future. In this work, we recreated the scene of a…

Machine Learning · Computer Science 2021-04-22 Andrés L. Suárez-Cetrulo , Ankit Kumar , Luis Miralles-Pechuán

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The COVID-19 pandemic has posed a policy making crisis where efforts to slow down or end the pandemic conflict with economic priorities. This paper provides mathematical analysis of optimal disease control policies with idealized…

Optimization and Control · Mathematics 2021-02-16 Aaron Z. Palmer , Zelda B. Zabinsky , Shan Liu

Effective epidemic control is crucial for mitigating the spread of infectious diseases, particularly when pharmaceutical interventions such as vaccines or treatments are limited. Non-pharmaceutical strategies, including mobility…

Physics and Society · Physics 2025-12-03 Deborah Volpe , Giacomo Orlandi , Mattia Boggio , Carlo Novara , Lorenzo Zino , Giovanna Turvani

As a common strategy of contagious disease containment, lockdowns will inevitably weaken the economy. The ongoing COVID-19 pandemic underscores the trade-off arising from public health and economic cost. An optimal lockdown policy to…

Optimization and Control · Mathematics 2022-01-26 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

Policymakers commonly employ non-pharmaceutical interventions to manage the scale and severity of pandemics. Of non-pharmaceutical interventions, social distancing policies -- designed to reduce person-to-person pathogenic spread -- have…

Physics and Society · Physics 2021-03-23 Demetris Avraam , Nick Obradovich , Niccoló Pescetelli , Manuel Cebrian , Alex Rutherford