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We use mobile device data to construct empirical interpersonal physical contact networks in the city of Portland, Oregon, both before and after social distancing measures were enacted during the COVID-19 pandemic. These networks reveal how…

Physics and Society · Physics 2021-12-17 Gavin S. Hartnett , Edward Parker , Timothy R. Gulden , Raffaele Vardavas , David Kravitz

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

Optimization and Control · Mathematics 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

Physics and Society · Physics 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the transmission/infection and recovery dynamics of COVID-19 remain obscure. A time-dependent Susceptible, Exposed, Infectious, and Recovered (SEIR) model…

Populations and Evolution · Quantitative Biology 2020-04-01 Yong Zhang , Xiangnan Yu , HongGuang Sun , Geoffrey R. Tick , Wei Wei , Bin Jin

The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathematical models were employed to examine the dynamics of…

Physics and Society · Physics 2020-12-25 Ahmed S. Elgazzar

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

Contact tracing and quarantine are well established non-pharmaceutical epidemic control tools. The paper aims to clarify the impact of these measures in COVID-19 epidemic. A new deterministic model is introduced (SEIRQ: susceptible,…

Populations and Evolution · Quantitative Biology 2020-06-01 Tomasz Piasecki , Piotr B. Mucha , Magdalena Rosińska

To combat the coronavirus disease 2019 (COVID-19) pandemic, the world has vaccination, plasma therapy, herd immunity, and epidemiological interventions as few possible options. The COVID-19 vaccine development is underway and it may take a…

Machine Learning · Computer Science 2020-08-26 Hanuman Verma , Akshansh Gupta , Utkarsh Niranjan

This paper presents a detailed mathematical investigation into the dynamics of COVID-19 infections through extended Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological models. By…

Populations and Evolution · Quantitative Biology 2025-05-21 Caleb Traxler , Minh Ton , Nameer Ahmed , Sasha Prostota , Annie Cheng

In this paper, a susceptible-infected-removed (SIR) model has been used to track the evolution of the spread of the COVID-19 virus in four countries of interest. In particular, the epidemic model, that depends on some basic characteristics,…

Populations and Evolution · Quantitative Biology 2020-10-28 Ian Cooper , Argha Mondal , Chris G. Antonopoulos

We analyze an optimal control version of a simple SIR epidemiology model that includes a partially specified vaccination policy and takes into account fatigue from protracted application of social distancing measures. The model assumes…

Populations and Evolution · Quantitative Biology 2021-08-17 Evangelos F. Magirou

This document aims to estimate and describe the effects of the social distancing measures implemented in several countries with the expectancy of controlling the spread of COVID-19. The procedure relies on the classic…

Populations and Evolution · Quantitative Biology 2021-06-28 Gerardo L. Febres

In this paper, we introduce a novel modeling framework for incorporating fear of infection and frustration with social distancing into disease dynamics. We show that the resulting SEIR behavior-perception model has three principal modes of…

Populations and Evolution · Quantitative Biology 2020-08-14 Matthew D. Johnston , Bruce Pell

The outbreak and propagation of COVID-19 have posed a considerable challenge to modern society. In particular, the different restrictive actions taken by governments to prevent the spread of the virus have changed the way humans interact…

Populations and Evolution · Quantitative Biology 2021-10-05 Sebastian Contreras , H. Andres Villavicencio , David Medina-Ortiz , Juan Pablo Biron-Lattes , Alvaro Olivera-Nappa

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

Applications · Statistics 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell

This paper develops an individual-based stochastic network SIR model for the empirical analysis of the Covid-19 pandemic. It derives moment conditions for the number of infected and active cases for single as well as multigroup epidemic…

Econometrics · Economics 2022-01-05 M. Hashem Pesaran , Cynthia Fan Yang

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

Populations and Evolution · Quantitative Biology 2020-12-14 Redouane Qesmi , Aayah Hammoumi

COVID-19 has been prevalent worldwide for about 2 years now and has brought unprecedented challenges to our society. Before vaccines were available, the main disease intervention strategies were non-pharmaceutical. Starting December 2020,…

Dynamical Systems · Mathematics 2022-02-09 Xiaoying Wang , Qing Han , Jude Dzevela Kong

In this paper we propose an epidemiological model for the spread of COVID-19. The dynamics of the spread is based on four fundamental categories of people in a population: Tested and infected, Non-Tested but infected, Tested but not…

Physics and Society · Physics 2020-06-12 Buddhananda Banerjee , Pradumn Kumar Pandey , Bibhas Adhikari

In this paper, we conduct mathematical and numerical analyses to address the following crucial questions for COVID-19: (Q1) Is it possible to contain COVID-19? (Q2) When will be the peak and the end of the epidemic? (Q3) How do the…

Populations and Evolution · Quantitative Biology 2020-09-22 Yi-Cheng Chen , Ping-En Lu , Cheng-Shang Chang , Tzu-Hsuan Liu