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In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-pharmaceutical intervention methods are implemented, but a…

Analysis of PDEs · Mathematics 2025-02-11 Marcelo Bongarti , Christian Parkinson , Weinan Wang

Given the ongoing Covid-19 pandemic, it is of interest to understand how the infections spread as the combined result of measures taken by central planners (governments) and individual behavior. In this work, the spread of Covid-19 is…

Populations and Evolution · Quantitative Biology 2021-10-01 Sushant Vijayan

We study the relative importance of two key control measures for epidemic spreading: endogenous social self-distancing and exogenous imposed quarantine. We use the framework of adaptive networks, moment-closure, and ordinary differential…

Populations and Evolution · Quantitative Biology 2020-10-22 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

Coronavirus disease (COVID-19) which is caused by SARS-COV2 has become a pandemic. This disease is highly infectious and potentially fatal, causing a global public health concern. To contain the spread of COVID-19, governments are adopting…

Physics and Society · Physics 2020-06-22 Sayantari Ghosh , Saumik Bhattacharya

This study aims to determine an optimal control strategy for vaccine scheduling in COVID-19 pandemic treatment by converting widely acknowledged infectious disease model named SEIR into an optimal control problem. The problem is augmented…

Populations and Evolution · Quantitative Biology 2020-08-26 Syed Irfan Ali Meerza , Seyed M. Karimi , Bert B. Little , Jacek M. Zurada , Tamer Inanc

This paper presents a discrete time probabilistic dynamic for simulating a contact-based epidemic spreading based on discrete time Markov chain process, in particular the attention is addressed to the susceptible-infectious-removed (SIR)…

Physics and Society · Physics 2017-12-22 Fabrizio Angaroni

To reduce the impact of COVID-19 pandemic most countries have implemented several counter-measures to control the virus spread including school and border closing, shutting down public transport and workplace and restrictions on gathering.…

Social and Information Networks · Computer Science 2020-09-14 Ahmed Ben Said , Abdelkarim Erradi , Hussein Aly , Abdelmonem Mohamed

The fast transmission rate of COVID-19 worldwide has made this virus the most important challenge of year 2020. Many mitigation policies have been imposed by the governments at different regional levels (country, state, county, and city) to…

Applications · Statistics 2022-05-04 Yue Bai , Abolfazl Safikhani , George Michailidis

Initial hopes of quickly eradicating the COVID-19 pandemic proved futile, and the goal shifted to controlling the peak of the infection, so as to minimize the load on healthcare systems. To that end, public health authorities intervened…

Optimization and Control · Mathematics 2021-05-25 M. Ali Al-Radhawi , Mahdiar Sadeghi , Eduardo D. Sontag

Pandemics can bring a range of devastating consequences to public health and the world economy. Identifying the most effective control strategies has been the imperative task all around the world. Various public health control strategies…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Zhe Xu , Xiaoming Duan

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

Ever since the outbreak of the COVID-19 epidemic, various public health control strategies have been proposed and tested against the coronavirus SARS-CoV-2. We study three specific COVID-19 epidemic control models: the susceptible, exposed,…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Zhe Xu , Bo Wu , Ufuk Topcu

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 basic Susceptible-Infected-Recovered (SIR) model is extended to include effects of progressive social awareness, lockdowns and anthropogenic migration. It is found that social awareness can effectively contain the spread by lowering the…

Physics and Society · Physics 2021-06-01 R. Bhattacharyya , Partha Konar

We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous diffusion model. The model describes the spatio-temporal spread…

Infectious disease transmission dynamics are particularly sensitive to social contact patterns, and the precautions people take to limit disease transmission. It depends on the age distribution of the community. Thus, knowing the…

Populations and Evolution · Quantitative Biology 2022-04-19 Vijay Pal Bajiya , Jai Prakash Tripathi , Ranjit Kumar Upadhyay

Analysis of policies for managing epidemics require simultaneously an economic and epidemiological perspective. We adopt a cost-of-policy framework to model both the virus spread and the cost of handling the pandemic. Because it is harder…

General Economics · Economics 2021-02-10 Jacob Janssen , Yaneer Bar-Yam

We study mechanisms for reopening economic activities that explore the trade off between containing the spread of COVID-19 and maximizing economic impact. This is of current importance as many organizations, cities, and states are…

Physics and Society · Physics 2021-04-26 John Augustine , Khalid Hourani , Anisur Rahaman Molla , Gopal Pandurangan , Adi Pasic

In this work, we inspect the reliability of controlling and quelling an epidemic disease mimicked by a Susceptible-Infected-Susceptible (SIS) model defined on a complex network by means of current and implementable quarantine and isolation…

Populations and Evolution · Quantitative Biology 2012-06-12 Nuno Crokidakis , Silvio M. Duarte Queiros

On 19th March, the World Health Organisation declared a pandemic. Through this global spread, many nations have witnessed exponential growth of confirmed cases brought under control by severe mass quarantine or lockdown measures. However,…

Other Quantitative Biology · Quantitative Biology 2022-09-28 Annalisa Riccardi , Jessica Gemignani , Francisco Fernández-Navarro , Anna Heffernan
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