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In the present article we introduce an epidemiological model for the investigation of the spread of epidemics caused by viruses. The model is applied specifically to COVID-19, the disease caused by the SARS-Cov-2 virus (aka "novel…

Populations and Evolution · Quantitative Biology 2020-04-10 Rodrigo A. Schulz , Carlos H. Coimbra-Araújo , Samuel W. S. Costiche

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The COVID-19 pandemic left its unique mark on the 21st century as one of the most significant disasters in history, triggering governments all over the world to respond with a wide range of interventions. However, these restrictions come…

Computational Engineering, Finance, and Science · Computer Science 2021-06-02 Assem Zhunis , Tung-Duong Mai , Sundong Kim

We study a simple realistic model for describing the diffusion of an infectious disease on a population of individuals. The dynamics is governed by a single functional delay differential equation, which, in the case of a large population,…

Populations and Evolution · Quantitative Biology 2020-09-28 Luca Dell'Anna

Since the outbreak of COVID-19 in early March 2020, UK supermarkets have implemented different policies to reduce the virus transmission in stores to protect both customers and staff, such as restricting the maximum number of customers in a…

Physics and Society · Physics 2021-06-09 Fabian Ying , Neave O'Clery

As the COVID-19 outbreak evolves around the world, the World Health Organization (WHO) and its Member States have been heavily relying on staying at home and lock down measures to control the spread of the virus. In the last months, various…

Physics and Society · Physics 2020-12-25 Anna Schmedding , Lishan Yang , Riccardo Pinciroli , Evgenia Smirni

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

The paper presents classification and analysis of the mathematical models of COVID-19 spread in different groups of populations such as the family, school, office (3-100 people), neighborhood (100-5000 people), city, region (0.5-15 million…

Populations and Evolution · Quantitative Biology 2022-02-01 O. I. Krivorotko , S. I. Kabanikhin

Residential colleges and universities face unique challenges in providing in-person instruction during the COVID-19 pandemic. Administrators are currently faced with decisions about whether to open during the pandemic and what modifications…

Populations and Evolution · Quantitative Biology 2020-12-22 Philip T. Gressman , Jennifer R. Peck

We present a compartmental SEIRD model aimed at forecasting hospital occupancy in metropolitan areas during the current COVID-19 outbreak. The model features asymptomatic and symptomatic infections with detailed hospital dynamics. We model…

Populations and Evolution · Quantitative Biology 2020-06-08 Marcos A. Capistran , Antonio Capella , J. Andres Christen

We show that the COVID-19 pandemic under social distancing exhibits universal dynamics. The cumulative numbers of both infections and deaths quickly cross over from exponential growth at early times to a longer period of power law growth,…

Populations and Evolution · Quantitative Biology 2020-04-23 Robert Marsland , Pankaj Mehta

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

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

The growing literature on the propagation of COVID-19 relies on various dynamic SIR-type models (Susceptible-Infected-Recovered) which yield model-dependent results. For transparency and ease of comparing the results, we introduce a common…

Populations and Evolution · Quantitative Biology 2020-06-19 Christian Gourieroux , Joann Jasiak

The COVID-19 outbreak was initially reported in Wuhan, China, and it has been declared as a Public Health Emergency of International Concern (PHEIC) on 30 January 2020 by WHO. It has now spread to over 180 countries, and it has gradually…

Applications · Statistics 2021-05-04 Jiawei Long

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no proper measurements in place, the number of infected people can increase dramatically in a short time, producing a phenomenon that many…

Populations and Evolution · Quantitative Biology 2022-09-20 Jonathan A. Chávez Casillas

Epidemiological models are the mathematical models that capture the dynamics of epidemics. The spread of the virus has two routes - exogenous and endogenous. The exogenous spread is from outside the population under study, and endogenous…

Social and Information Networks · Computer Science 2020-09-22 Nirmal Kumar Sivaraman , Manas Gaur , Shivansh Baijal , Ch V Radha Sai Rupesh , Sakthi Balan Muthiah , Amit Sheth

Many countries have experienced at least two waves of the COVID-19 pandemic. The second wave is far more dangerous as distinct strains appear more harmful to human health, but it stems from the complacency about the first wave. This paper…

Populations and Evolution · Quantitative Biology 2022-06-29 Edilson F. Arruda , Tarun Sharma , Rodrigo e A. Alexandre , Sinnu Susan Thomas

A configuration model for epidemic spread, based on a scale-free network, is introduced. We obtain the analytical solutions describing both unstable and stable dynamics of the epidemic spreading, and demonstrate how these regimes can…

Physics and Society · Physics 2020-07-15 Alexander I Nesterov , Pablo Héctor Mata Villafuerte , Gennady P Berman