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The design of coherent and efficient policies to address infectious diseases and their consequences requires to model not only epidemics dynamics, but also individual behaviors, as the latter has a strong influence on the former. In our…

Physics and Society · Physics 2024-04-16 Louis Bremaud , Olivier Giraud , Denis Ullmo

Timely and effective decision-making is critical during epidemics to reduce preventable infections and deaths. This demands integrated models that jointly capture disease dynamics, vaccine distribution, regional disparities, and behavioral…

Social and Information Networks · Computer Science 2025-11-26 Kimiya Jozani , Nihal A. Sageer , Hode Eldardiry , Sait Tunc , Esra Buyuktahtakin Toy

This paper proposes an approach to mitigate epidemic spread in a population of strategic agents by encouraging safer behaviors through carefully designed rewards. These rewards, which adapt to the evolving state of the epidemic, are…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Shinkyu Park , Jair Certorio , Nuno C. Martins , Richard J. La

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

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Domagoj Herceg , Marco DellOro , Riccardo Bertollo , Fuminari Miura , Paul de Klaver , Valentina Breschi , Dinesh Krishnamoorthy , Mauro Salazar

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

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

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

Physics and Society · Physics 2021-07-26 Hugo Dolan , Riccardo Rastelli

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

Computer Science and Game Theory · Computer Science 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

In the absence of drugs and vaccines, policymakers use non-pharmaceutical interventions such as social distancing to decrease rates of disease-causing contact, with the aim of reducing or delaying the epidemic peak. These measures carry…

Populations and Evolution · Quantitative Biology 2021-04-22 Dylan H. Morris , Fernando W. Rossine , Joshua B. Plotkin , Simon A. Levin

This paper proposes a feedback design that effectively copes with uncertainties for reliable epidemic monitoring and control. There are several optimization-based methods to estimate the parameters of an epidemic model by utilizing past…

Optimization and Control · Mathematics 2023-04-06 Muhammad Umar B. Niazi , Philip E. Paré , Karl H. Johansson

We present and compare two different optimal control approaches applied to SEIR models in epidemiology, which allow us to obtain some policies for controlling the spread of an epidemic. The first approach uses Dynamic Programming to…

Optimization and Control · Mathematics 2024-05-06 Simone Cacace , Alessio Oliviero

The mathematical interpretation of interventions for the mitigation of epidemics and pandemics in the literature often involves finding the optimal time to initiate an intervention and/or the use of infections to manage impact. Whilst these…

Populations and Evolution · Quantitative Biology 2023-05-17 James Van Yperen , Eduard Campillo-Funollet , Rebecca Inkpen , Anjum Memon , Anotida Madzvamuse

In recent years, epidemic policy-making models are increasingly being used to provide reference for governors on prevention and control policies against catastrophic epidemics such as SARS, H1N1 and COVID-19. Existing studies are currently…

Artificial Intelligence · Computer Science 2024-03-19 Zhiyi Tan , Bingkun Bao

When effective medical treatment and vaccination are not available, non-pharmaceutical interventions such as social distancing, home quarantine and far-reaching shutdown of public life are the only available strategies to prevent the spread…

Populations and Evolution · Quantitative Biology 2020-08-19 Markus Kantner , Thomas Koprucki

Non-pharmaceutical interventions (NPIs) are crucial for controlling pandemics, but existing research often overlooks the heterogeneity of individual behavior, which can lead to inaccurate evaluations of the effectiveness of strategies. In…

Physics and Society · Physics 2026-03-09 Xihan Zhang , Yuqing Liu , Chen Zhao , Guijun Li

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowable intervention strategies, such as social distancing,…

Optimization and Control · Mathematics 2021-11-17 Willem Esterhuizen , Jean Lévine , Stefan Streif

Optimal control theory in epidemiology has been used to establish the most effective intervention strategies for managing and mitigating the spread of infectious diseases while considering constraints and costs. Using Pontryagin's Maximum…

Physics and Society · Physics 2025-08-08 Sandra Montes-Olivas , Adam J. Kucharski , Michael B. Gravenor , Simon D. W. Frost

Epidemic decision-making can effectively help the government to comprehensively consider public security and economic development to respond to public health and safety emergencies. Epidemic decision-making can effectively help the…

Machine Learning · Computer Science 2023-11-06 Yangxi Zhou , Junping Du , Zhe Xue , Zhenhui Pan , Weikang Chen