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In this paper, we study a novel control method for a generalized SIS epidemic process. In particular, we use predictive control to design optimal protective resource distribution strategies which balance the need to eliminate the epidemic…

Optimization and Control · Mathematics 2018-08-17 Nicholas J. Watkins , George J. Pappas

Contagious diseases can spread quickly in human populations, either through airborne transmission or if some other spreading vectors are abundantly accessible. They can be particularly devastating if the impact on individuals' health has…

Physics and Society · Physics 2022-07-20 Bram A. Siebert , James P. Gleeson , M. Asllani

We propose a general Bayesian approach to modeling epidemics such as COVID-19. The approach grew out of specific analyses conducted during the pandemic, in particular an analysis concerning the effects of non-pharmaceutical interventions…

Applications · Statistics 2021-01-01 Samir Bhatt , Neil Ferguson , Seth Flaxman , Axel Gandy , Swapnil Mishra , James A. Scott

National responses to the Covid-19 pandemic varied markedly across countries, from business-as-usual to complete shutdowns. Policies aimed at disrupting the viral transmission cycle and preventing the healthcare system from being…

Populations and Evolution · Quantitative Biology 2021-10-27 Arash Saeidpour , Pejman Rohani

This paper studies algorithmic strategies to effectively reduce the number of infections in susceptible-infected-recovered (SIR) epidemic models. We consider a Markov chain SIR model and its two instantiations in the deterministic SIR…

Optimization and Control · Mathematics 2020-11-24 Yuhao Yi , Liren Shan , Philip E. Paré , Karl H. Johansson

Epidemics of infectious diseases posing a serious risk to human health have occurred throughout history. During recent epidemics there has been much debate about policy, including how and when to impose restrictions on behaviour.…

Theoretical Economics · Economics 2024-04-08 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto , Matthew S. Turner

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We…

Social and Information Networks · Computer Science 2026-05-05 George Cantwell , Cristopher Moore

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

This paper considers the susceptible-infected-susceptible (SIS) epidemic model with an underlying network structure among subpopulations and focuses on the effect of social distancing to regulate the epidemic level. We demonstrate that if…

Systems and Control · Electrical Eng. & Systems 2021-08-09 Yuan Wang , Sebin Gracy , Hideaki Ishii , Karl Henrik Johansson

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

In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks. With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not…

Social and Information Networks · Computer Science 2014-10-10 June Zhang , José M. F. Moura

We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The…

Optimization and Control · Mathematics 2021-06-29 David I. Ketcheson

The spread of influence in social networks is studied in two main categories: the progressive model and the non-progressive model (see e.g. the seminal work of Kempe, Kleinberg, and Tardos in KDD 2003). While the progressive models are…

Social and Information Networks · Computer Science 2011-08-03 MohammadAmin Fazli , Mohammad Ghodsi , Jafar Habibi , Pooya Jalaly Khalilabadi , Vahab Mirrokni , Sina Sadeghian Sadeghabad

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

Hard-to-predict bursts of COVID-19 pandemic revealed significance of statistical modeling which would resolve spatio-temporal correlations over geographical areas, for example spread of the infection over a city with census tract…

Social and Information Networks · Computer Science 2022-04-27 Mikhail Krechetov , Amir Mohammad Esmaieeli Sikaroudi , Alon Efrat , Valentin Polishchuk , Michael Chertkov

In this paper, we study the problem of minimizing the spread of a viral epidemic when immunization takes a non-negligible amount of time to take into effect. Specifically, our problem is to determine which set of nodes to be vaccinated when…

Social and Information Networks · Computer Science 2023-07-14 Shiju Li , Xin Huang , Chul-Ho Lee , Do Young Eun

Non-pharmaceutical interventions (NPIs) are effective measures to contain a pandemic. Yet, such control measures commonly have a negative effect on the economy. Here, we propose a macro-level approach to support resolving this…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Rohit Salgotra , Thomas Seidelmann , Dominik Fischer , Sanaz Mostaghim , Amiram Moshaiov

Several models have been developed to predict how the COVID-19 pandemic spreads, and how it could be contained with non-pharmaceutical interventions (NPIs) such as social distancing restrictions and school and business closures. This paper…

Neural and Evolutionary Computing · Computer Science 2020-08-04 Risto Miikkulainen , Olivier Francon , Elliot Meyerson , Xin Qiu , Elisa Canzani , Babak Hodjat

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