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This study focuses on investigating the manner in which a prompt quarantine measure suppresses epidemics in networks. A simple and ideal quarantine measure is considered in which an individual is detected with a probability immediately…

Physics and Society · Physics 2017-08-16 Takehisa Hasegawa , Koji Nemoto

We have developed a globally applicable diagnostic Covid-19 model by augmenting the classical SIR epidemiological model with a neural network module. Our model does not rely upon previous epidemics like SARS/MERS and all parameters are…

Physics and Society · Physics 2020-11-24 Raj Dandekar , Chris Rackauckas , George Barbastathis

Quarantine measure is a commonly used non-pharmaceutical intervention during the outbreak of infectious diseases. A key problem for implementing quarantine measure is to determine the duration of quarantine. In this paper, a policy with…

Applications · Statistics 2023-09-26 Ruoyu Wang , Qihua Wang

Simulating the spread of infectious diseases in human communities is critical for predicting the trajectory of an epidemic and verifying various policies to control the devastating impacts of the outbreak. Many existing simulators are based…

Populations and Evolution · Quantitative Biology 2021-04-22 Arash Mehrjou , Ashkan Soleymani , Amin Abyaneh , Samir Bhatt , Bernhard Schölkopf , Stefan Bauer

Motivated by COVID-19, we develop and analyze a simple stochastic model for a disease spread in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is…

Populations and Evolution · Quantitative Biology 2022-05-10 Jakub Svoboda , Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak

With more than 1.7 million COVID-19 deaths, identifying effective measures to prevent COVID-19 is a top priority. We developed a mathematical model to simulate the COVID-19 pandemic with digital contact tracing and testing strategies. The…

Social and Information Networks · Computer Science 2020-12-29 Daniel Xu

Major advances in public health have resulted from disease prevention. However, prevention of a new infectious disease by vaccination or pharmaceuticals is made difficult by the slow process of vaccine and drug development. We propose an…

Populations and Evolution · Quantitative Biology 2021-04-15 Jussi Taipale , Ioannis Kontoyiannis , Sten Linnarsson

Mitigation strategies that remove infectious individuals from the greater population have to balance their efficacy with the economic effects associated with quarantine and have to contend with the limited resources available to the public…

Quantitative Methods · Quantitative Biology 2020-12-09 Ted Londner , Jonathan Saunders , Dieter W. Schuldt , Bill Streilein

The optimal control of epidemic-like stochastic processes is important both historically and for emerging applications today, where it can be especially important to include time-varying parameters that impact viral epidemic-like…

Optimization and Control · Mathematics 2017-10-02 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

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

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

Rapid testing of appropriate specimens from patients suspected for a disease during an epidemic, such as the current Coronavirus outbreak, is of a great importance for the disease management and control. We propose a method to enhance…

Quantitative Methods · Quantitative Biology 2020-04-27 Usama Kadri

Efficient personnel scheduling plays a significant role in matching workload demand in organizations. However, staff scheduling is sometimes affected by unexpected events, such as the COVID-19 pandemic, that disrupt regular operations.…

Optimization and Control · Mathematics 2023-01-10 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Justin M. Calabrese

In this work, we develop a spatial SEIAR-type epidemic model considering a quarantined population (denoted as Q), which we call the SQEIAR model. The dynamics of the SQEIAR model are described by six Partial Differential Equations (PDEs)…

Dynamical Systems · Mathematics 2025-01-27 Elghandouri Mohammed , Ezzinbi Khalil , Youness Mezzan

This work focuses on optimal controls of a class of stochastic SIS epidemic models under regime switching. By assuming that a decision maker can either influence the infectivity period or isolate infected individuals, our aim is to minimize…

Optimization and Control · Mathematics 2021-01-12 Ky Tran , George Yin

The interpretation of sampling data plays a crucial role in policy response to the spread of a disease during an epidemic, such as the COVID-19 epidemic of 2020. However, this is a non-trivial endeavor due to the complexity of real world…

Populations and Evolution · Quantitative Biology 2020-07-30 James D. Brunner , Nicholas Chia

Social distancing as one of the main non-pharmaceutical interventions can help slow down the spread of diseases, like in the COVID-19 pandemic. Effective social distancing, unless enforced as drastic lockdowns and mandatory cordon…

Physics and Society · Physics 2020-11-30 Alina Glaubitz , Feng Fu

The COVID-19 pandemic has forced policy makers to decree urgent confinements to stop a rapid and massive contagion. However, after that stage, societies are being forced to find an equilibrium between the need to reduce contagion rates and…

In this paper, we propose a dynamical model to describe the transmission of COVID-19, which is spreading in China and many other countries. To avoid a larger outbreak in the worldwide, Chinese government carried out a series of strong…

Populations and Evolution · Quantitative Biology 2020-03-09 Jiwei Jia , Jian Ding , Siyu Liu , Guidong Liao , Jingzhi Li , Ben Duan , Guoqing Wang , Ran Zhang

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…