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The present article studies the extension of two deterministic models for describing the novel coronavirus pandemic crisis, the SIR model and the SEIR model. The models were studied and compared to real data in order to support the validity…

Physics and Society · Physics 2020-06-05 P. H. P. Cintra , M. F. Citeli , F. N. Fontinele

The prediction of spread patterns of COVID19 virus in India is very difficult due to its versatile demographic as well as meteorological data distribution. Various researchers across the globe have attempted to correlate the interdependency…

Physics and Society · Physics 2020-10-27 Raj Kishore , Bijaylaxmi Sahoo , Debadatta Swain , Kisor Kumar Sahu

This article reports a first update on the assesment of the model previously presented in arXiv:2003.13890v1. New available data have been used to feed the model and the comparison with real data still shows good agreement. The main novelty…

Populations and Evolution · Quantitative Biology 2020-04-14 Efren M. Benavides

We present three data driven model-types for COVID-19 with a minimal number of parameters to provide insights into the spread of the disease that may be used for developing policy responses. The first is exponential growth, widely studied…

Populations and Evolution · Quantitative Biology 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

This paper seeks to study the evolution of the COVID-19 pandemic based on daily published data from Worldometer website, using a time-dependent SIR model. Our findings indicate that this model fits well such data, for different chosen…

Populations and Evolution · Quantitative Biology 2023-11-28 Rawan H. Madi , Sophie M. Moufawad , Nabil R. Nassif

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

Applications · Statistics 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

Analysing and understanding the transmission and evolution of the COVID-19 pandemic is mandatory to be able to design the best social and medical policies, foresee their outcomes and deal with all the subsequent socio-economic effects. We…

Populations and Evolution · Quantitative Biology 2025-07-28 Radu D. Stochiţoiu , Marian Petrica , Traian Rebedea , Ionel Popescu , Marius Leordeanu

The first cases of COVID-19 in France were detected on January 24, 2020. The number of screening tests carried out and the methodology used to target the patients tested do not allow for a direct computation of the real number of cases and…

Populations and Evolution · Quantitative Biology 2020-05-15 Lionel Roques , Etienne Klein , Julien Papax , Antoine Sar , Samuel Soubeyrand

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

We propose a simple model of spreading of some infection in an originally healthy population which is different from other models existing in the literature. In particular, we use an operator technique which allows us to describe in a…

Populations and Evolution · Quantitative Biology 2020-10-29 F. Bagarello , F. Gargano , F. Roccati

Factors such as non-uniform definitions of mortality, uncertainty in disease prevalence, and biased sampling complicate the quantification of fatality during an epidemic. Regardless of the employed fatality measure, the infected population…

Quantitative Methods · Quantitative Biology 2021-12-28 Lucas Böttcher , Maria D'Orsogna , Tom Chou

A semiempirical model, based in the logistic map, has been succesfully applied to forecast important quantities along the several phases of the outbreak of the covid-19 for different countries. This paper shows how the model was calibrated…

Quantitative Methods · Quantitative Biology 2020-04-21 Juan C. Mora , Sandra Pérez , Ignacio Rodríguez , Asunción Núñez , Alla Dvorzhak

The coronavirus disease 2019 (COVID-19) has become a public health emergency of international concern affecting 201 countries and territories around the globe. As of April 4, 2020, it has caused a pandemic outbreak with more than 11,16,643…

Applications · Statistics 2022-07-18 Tanujit Chakraborty , Indrajit Ghosh

We consider a global (location independent) model of pandemic growth which generalizes the SIR model to accommodate important features of the COVID-19 pandemic, notably the implementation of pandemic reduction measures. This "SHIR" model is…

Populations and Evolution · Quantitative Biology 2020-07-30 T. Barnes

We consider the pandemic spreading of COVID-19 in India after the outbreak of the coronavirus in Wuhan city, China. We estimate the transmission rate of the initial infecting individuals of COVID-19 in India by using the officially reported…

Populations and Evolution · Quantitative Biology 2020-12-09 R. Gopal , V. K. Chandrasekar , M. Lakshmanan

In this paper we develop a predictive model for the spread of COVID-19 infection at a provincial (i.e. EU NUTS-3) level in Italy by using official data from the Italian Ministry of Health integrated with data extracted from daily official…

A new coronavirus disease, called COVID-19, appeared in the Chinese region of Wuhan at the end of last year; since then the virus spread to other countries, including most of Europe. We propose a differential equation governing the…

Populations and Evolution · Quantitative Biology 2020-09-15 Giorgio Sonnino , Pasquale Nardone

Initially emerged in the Chinese city Wuhan and subsequently spread almost worldwide causing a pandemic, the SARS-CoV-2 virus follows reasonably well the SIR (Susceptible-Infectious-Recovered) epidemic model on contact networks in the…

Physics and Society · Physics 2020-10-28 Clara Pizzuti , Annalisa Socievole , Bastian Prasse , Piet Van Mieghem

A mathematical model is proposed for quantitative description of the outbreak of novel coronavirus COVID-19 in China. Although the model is relatively simple, the comparison with the public data shows that an exact solution solution of the…

Physics and Society · Physics 2020-04-10 Roman Cherniha , Vasyl' Davydovych

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