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To control the current outbreak of the Coronavirus Disease 2019, constant monitoring of the epidemic is required since, as of today, no vaccines or antiviral drugs against it are known. We provide daily updated estimates of the reproduction…

Populations and Evolution · Quantitative Biology 2020-04-21 Thomas Hotz , Matthias Glock , Stefan Heyder , Sebastian Semper , Anne Böhle , Alexander Krämer

This paper is an exploratory study of two epidemiological questions on a worldwide basis. How fast is the disease spreading? Are the restrictions (especially mobility restrictions) for people bring the expected effect? To answer the first…

Social and Information Networks · Computer Science 2021-08-30 Tatiana Petrova , Dmitri Soshnikov , Andrey Grunin

Addressed in this work is the performance of five popular algorithms, which aim at assessing the dissemination dynamics of the COVID-19 disease on the basis of the time series of new confirmed cases. The tests are based on simulated data,…

Populations and Evolution · Quantitative Biology 2021-05-10 Evangelos Matsinos

We have proposed an SEIR compartmental mathematical model. The prime objective of this study is to analyze and forecast the pandemic in Italy for the upcoming months. The basic reproduction number has been calculated. Based on the current…

Populations and Evolution · Quantitative Biology 2021-04-06 Sumit Kumar , Sandeep Sharma , Nitu Kumari

This contribution analyzes the COVID-19 outbreak by comparably simple mathematical and numerical methods. The final goal is to predict the peak of the epidemic outbreak per country with a reliable technique. This is done by an algorithm…

Physics and Society · Physics 2020-05-15 Robert Schaback

Reproduction numbers are widely used for the estimation and prediction of epidemic spreading processes over networks. However, reproduction numbers do not enable estimation and prediction in individual communities within networks, and they…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Philip E. Paré , Matthew Hale

A pandemic caused by a new coronavirus has spread worldwide, affecting Argentina. We implement an SEIR model to analyze the disease evolution in Buenos Aires and neighbouring cities. The model parameters are calibrated using the number of…

Populations and Evolution · Quantitative Biology 2020-07-16 Juan E. Santos , Jose' M. Carcione , Gabriela B. Savioli , Patricia M. Gauzellino , Alejandro Ravecca , Alfredo Moras

The effective reproduction number, R(t), is a central point in the study of infectious diseases. It establishes in an explicit way the extent of an epidemic spread process in a population. The current estimation methods for the time…

Populations and Evolution · Quantitative Biology 2021-02-26 D. C. P. Jorge , J. F. Oliveira , J. G. V. Miranda , R. F. S. Andrade , S. T. R. Pinho

The COVID-19 disease has forced countries to make a considerable collaborative effort between scientists and governments to provide indicators to suitable follow-up the pandemic's consequences. Mathematical modeling plays a crucial role in…

Populations and Evolution · Quantitative Biology 2020-12-29 Patricio Cumsille , Oscar Rojas-Díaz , Pablo Moisset de Espanés

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

In the last year many public health decisions were based on real-time monitoring the spread of the ongoing COVID-19 pandemic. For this one often considers the reproduction number which measures the amount of secondary cases produced by a…

Applications · Statistics 2021-09-01 Jan Pablo Burgard , Stefan Heyder , Thomas Hotz , Tyll Krueger

A mathematical model was developed describing the dynamic of the COVID-19 virus over a population considering that the infected can either be symptomatic or not. The model was calibrated using data on the confirmed cases and death from…

Populations and Evolution · Quantitative Biology 2020-04-14 Jayrold P. Arcede , Randy L. Caga-anan , Cheryl Q. Mentuda , Youcef Mammeri

We propose an SEIARD mathematical model to investigate the current outbreak of coronavirus disease (COVID-19) in Mexico. We conduct a detailed analysis of this model and demonstrate its application using publicly reported data. We calculate…

Populations and Evolution · Quantitative Biology 2021-02-23 Ugo Avila-Ponce de León , Ángel G. C. Pérez , Eric Avila-Vales

The Covid-19 outbreak of 2020 has required many governments to develop mathematical-statistical models of the outbreak for policy and planning purposes. This work provides a tutorial on building a compartmental model using Susceptibles,…

Applications · Statistics 2020-05-27 Ryad Ghanam , Edward L. Boone , Abdel-Salam G. Abdel-Salam

In epidemiology, the effective reproduction number $R_e$ is used to characterize the growth rate of an epidemic outbreak. In this paper, we investigate properties of $R_e$ for a modified SEIR model of COVID-19 in the city of Houston, TX…

Populations and Evolution · Quantitative Biology 2021-04-22 Christopher Thron , Vianney Mbazumutima , Luis Vargas Tamayo , Leonard Todjihounde

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

In this study, we have formulated and analyzed a non-linear compartmental model (SEIR) for the dynamics of COVID-19 with reference to immigration from urban to rural population in Indian scenario. We have captured the effect of the…

Dynamical Systems · Mathematics 2022-05-12 D. K. K. Vamsi , C. Bishal Chhetri , D. Bhanu Prakash , Seshasainath Ch. , D. Surabhi Pandey

This is a pedagogical paper on estimating the number of people that can be infected by one infectious person during an epidemic outbreak, known as the reproduction number. Knowing the number is crucial for developing policy responses. There…

Populations and Evolution · Quantitative Biology 2020-06-30 H. Susanto , V. R. Tjahjono , A. Hasan , M. F. Kasim , N. Nuraini , E. R. M. Putri , R. Kusdiantara , H. Kurniawan

We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number $\mathcal{R}(t)$. We discuss the estimation of the underlying SIR parameters with a…

Populations and Evolution · Quantitative Biology 2020-04-16 Ariel Cintrón-Arias , Carlos Castillo-Chávez , Luís M. A. Bettencourt , Alun L. Lloyd , H. T. Banks

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

Machine Learning · Computer Science 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner
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