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The recent COVID-19 pandemic highlighted the need of non-pharmaceutical interventions in the first stages of a pandemic. Among these, lockdown policies proved unavoidable yet extremely costly from an economic perspective. To better…

Optimization and Control · Mathematics 2021-12-14 Leonardo Cianfanelli , Francesca Parise , Daron Acemoglu , Giacomo Como , Asuman Ozdaglar

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

No, they can't. Epidemic spread is characterized by exponentially growing dynamics, which are intrinsically unpredictable. The time at which the growth in the number of infected individuals halts and starts decreasing cannot be calculated…

Populations and Evolution · Quantitative Biology 2022-05-20 Mario Castro , Saúl Ares , José A. Cuesta , Susanna Manrubia

In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

Physics and Society · Physics 2015-06-11 Taro Takaguchi , Renaud Lambiotte

To contain the propagation of emerging diseases that are transmissible from human to human, non-pharmaceutical interventions (NPIs) aimed at reducing the interactions between humans are usually implemented. One example of the latter kind of…

Physics and Society · Physics 2021-05-21 Paulo Cesar Ventura , Alberto Aleta , Francisco Aparecido Rodrigues , Yamir Moreno

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

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

The COVID-19 crisis highlighted the importance of non-medical interventions, such as testing and isolation of infected individuals, in the control of epidemics. Here, we show how to minimize testing needs while maintaining the number of…

Systems and Control · Electrical Eng. & Systems 2024-07-04 D. Acemoglu , A. Fallah , A. Giometto , D. Huttenlocher , A. Ozdaglar , F. Parise , S. Pattathil

We show for a model of scale-free graphs with biased partner choice that knowing the exponent for the degree distribution is in general not sufficient to decide epidemic threshold properties for exponents less than three.We show that the…

Condensed Matter · Physics 2009-11-07 Ph. Blanchard , Ch. -H. Chang , T. Krueger

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

Populations and Evolution · Quantitative Biology 2026-02-23 David J. D. Earn , Todd L. Parsons

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Recent outbreaks of monkeypox and Ebola, and worrying waves of COVID-19, influenza and respiratory syncytial virus, have all led to a sharp increase in the use of epidemiological models to estimate key epidemiological parameters. The…

Populations and Evolution · Quantitative Biology 2023-12-01 B. K. M. Case , Jean-Gabriel Young , Laurent Hébert-Dufresne

During a pandemic, there are conflicting demands arising from public health and economic cost. Lockdowns are a common way of containing infections, but they adversely affect the economy. We study the question of how to minimise the economic…

Populations and Evolution · Quantitative Biology 2021-04-28 Joseph Samuel , Supurna Sinha

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…

Motivated by the issue of COVID-19 mitigation, in this work we tackle the general problem of optimally controlling an epidemic outbreak of a communicable disease structured by time since exposure, by the aid of two types of control…

Populations and Evolution · Quantitative Biology 2024-05-13 Alberto d'Onofrio , Mimmo Iannelli , Piero Manfredi , Gabriela Marinoschi

Epidemics expose critical tensions between protecting public health and maintaining essential urban mobility. Public transport systems face this dilemma most acutely: they enable access to jobs, education, and services, yet also facilitate…

Physics and Society · Physics 2025-11-11 Gerhard Hiermann , Joana Ji , Ana Moreno , Rolf Moeckel , Maximilian Schiffer

We apply optimal control theory to a tuberculosis model given by a system of ordinary differential equations. Optimal control strategies are proposed to minimize the cost of interventions, considering reinfection and post-exposure…

Optimization and Control · Mathematics 2013-07-15 Cristiana J. Silva , Delfim F. M. Torres

Contact-tracing is an essential tool in order to mitigate the impact of pandemic such as the COVID-19. In order to achieve efficient and scalable contact-tracing in real time, digital devices can play an important role. While a lot of…

Mitigation measures are essential for controlling the spread of infectious diseases during pandemics and epidemics, but they impose considerable societal, individual, and economic costs. We developed a general optimization framework to…

Populations and Evolution · Quantitative Biology 2025-12-15 Laura Müller , Fabio Sartori , Jonas Dehning , Maximilian F. Eggl , Viola Priesemann

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld
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