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We propose an SEIR-type meta-population model to simulate and monitor the Covid-19 epidemic evolution. The basic model consists of seven compartments, namely susceptible (S), exposed (E), three infective classes, recovered (R), and deceased…

Populations and Evolution · Quantitative Biology 2020-11-18 Vinicius V. L. Albani , Roberto M. Velho , Jorge P. Zubelli

We consider the control of the COVID-19 pandemic through a standard SIR compartmental model. This control is induced by the aggregation of individuals' decisions to limit their social interactions: when the epidemic is ongoing, an…

Physics and Society · Physics 2020-06-22 Romuald Elie , Emma Hubert , Gabriel Turinici

The effectiveness of non-pharmaceutical interventions to curb the spread of SARS-CoV-2 is determined by numerous contextual factors, including adherence. Conventional wisdom holds that the effectiveness of protective behaviour such as…

Physics and Society · Physics 2022-09-26 Peter Klimek , Katharina Ledebur , Stefan Thurner

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

We use a simple SIR-like epidemic model which integrates known age-contact patterns for the United States to model the effect of age-targeted mitigation strategies for a COVID-19-like epidemic. We find that, among strategies which end with…

Populations and Evolution · Quantitative Biology 2020-09-09 Maria Chikina , Wesley Pegden

The experience of Singapur and South Korea makes it clear that under certain circumstances massive testing is an effective way for containing the advance of the COVID-19. In this paper, we propose a modified SEIR model which takes into…

Applications · Statistics 2020-12-24 José Luis Sainz-Pardo , José Valero

In this work, the SIR epidemiological model is reformulated so to highlight the important {\em effective reproduction number}, as well as to account for the {\em generation time}, inverse of the {\em incidence rate}, and the {\em infectious…

Populations and Evolution · Quantitative Biology 2021-07-27 Ignazio Lazzizzera

COVID-19 has shown a relatively low mortality rate in young healthy individuals, with the majority of this group being asymptomatic or having mild symptoms, while the severity of the disease among individuals with underlying health…

Physics and Society · Physics 2020-06-22 Dario Ortega Anderez , Eiman Kanjo , Ganna Pogrebna , Shane Johnson , John Alan Hunt

Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many…

Optimization and Control · Mathematics 2023-12-01 José Luis Sainz-Pardo , José Valero

A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the…

Populations and Evolution · Quantitative Biology 2020-03-19 Rose Baker

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

At the time of writing, the ongoing COVID-19 pandemic, caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), had already resulted in more than thirty-two million cases infected and more than one million deaths worldwide.…

Optimization and Control · Mathematics 2023-03-22 Chung-Han Hsieh

The effectiveness of face masks as a population level intervention against respiratory viral transmission remains contested. While a large observational literature published during the COVID-19 pandemic reported beneficial effects,…

Applications · Statistics 2026-03-04 Beny Spira , Daniel V. Tausk

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

Populations and Evolution · Quantitative Biology 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

Wearing masks is a useful protection method against COVID-19, which has caused widespread economic and social impact worldwide. Across the globe, governments have put mandates for the use of face masks, which have received both positive and…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Asmit Kumar Singh , Paras Mehan , Divyanshu Sharma , Rohan Pandey , Tavpritesh Sethi , Ponnurangam Kumaraguru

Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

Populations and Evolution · Quantitative Biology 2020-09-14 Amit Tewari

In response to the worldwide outbreak of the coronavirus disease COVID-19, a variety of nonpharmaceutical interventions such as face masks and social distancing have been implemented. A careful assessment of the effects of such containment…

Populations and Evolution · Quantitative Biology 2021-05-18 Michael te Vrugt , Jens Bickmann , Raphael Wittkowski

We measure the effect of different public health regulations to the spread of COVID-19, based on a SEIRA model -- a SEIR model including asymptomatic transmissions. The cumulative confirmed cases and death show nonlinear positive…

Populations and Evolution · Quantitative Biology 2020-04-15 Weijie Pang

The death toll for Covid-19 may be reduced by dividing the population into two classes, the vulnerable and the fit, with different lockdown regimes. Instead of one reproduction number there now are four parameters. These make it possible to…

Populations and Evolution · Quantitative Biology 2020-10-05 Guus Balkema

The use of facial masks played a pivotal role in combating COVID-19 during the pandemic period, particularly in the absence of vaccines for the disease. This study elucidates how this type of equipment can effectively contain viruses and…