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In this report we fit a semi-mechanistic Bayesian hierarchical model to describe the Mexican COVID-19 epidemic. We obtain two epidemiological measures: the number of infections and the reproduction number. Estimations are based on death…

Applications · Statistics 2020-07-20 Michelle Anzarut , Luis Felipe González , Sonia Mendizábal , María Teresa Ortiz

We shall apply a generalized SEIR model to study the outbreak of COVID-19 in Brazil. In particular, we would like to explain the projections of the increase in the level of infection over a long period of time, overlapping large local…

Populations and Evolution · Quantitative Biology 2020-05-26 Suzete Afonso , Juarez Azevedo , Mariana Pinheiro

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

An epidemiological model is developed for the spread of COVID-19 in South Africa. A variant of the classical compartmental SEIR model, called the SEIQRDP model, is used. As South Africa is still in the early phases of the global COVID-19…

Populations and Evolution · Quantitative Biology 2020-05-25 L. E. Olivier , I. K. Craig

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

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

We present a compartmental SEIAR model of epidemic spread as a generalization of the SEIR model. We believe that the asymptomatic infectious cohort is an omitted part of the understanding of the epidemic dynamics of disease COVID-19. We…

Populations and Evolution · Quantitative Biology 2020-04-07 Lenka Pribylova , Veronika Hajnova

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 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

Fitting Susceptible-Infected-Recovered (SIR) models to incidence data is problematic when not all infected individuals are reported. Assuming an underlying SIR model with general but known distribution for the time to recovery, this paper…

Populations and Evolution · Quantitative Biology 2021-08-16 Imelda Trejo , Nicolas Hengartner

COVID-19 is an emergent viral infection which rose in December 2019 in a city in the Chinese province of Hubei, Wuhan; the viral aetiology of this infection is now known as COVID-19 virus, which belongs to the Betacoronavirus genus. This…

Populations and Evolution · Quantitative Biology 2020-03-17 Alfonso Vivanco-Lira

In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP model, which has a basic guiding significance for the prediction of the possible outbreak of infectious diseases like COVID-19 and other insect diseases…

Populations and Evolution · Quantitative Biology 2020-04-30 Conghui Xu , Yongguang Yu , QuanChen Yang , Zhenzhen Lu

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

Millions of people have been infected and lakhs of people have lost their lives due to the worldwide ongoing novel Coronavirus (COVID-19) pandemic. It is of utmost importance to identify the future infected cases and the virus spread rate…

Physics and Society · Physics 2021-05-04 Naresh Kumar , Seba Susan

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

The current outbreak is known as Coronavirus Disease or COVID-19 caused by the virus SAR-COV-2 which continues to wreak havoc across the globe. The World Health Organization (WHO) has declared the outbreak a Public Health Emergency of…

Populations and Evolution · Quantitative Biology 2020-05-12 Muhammad Waqas , Muhammad Farooq , Rashid Ahmad , Ashfaq Ahmad

This paper presents a model for COVID19 in Mexico City. The data analyzed were considered from the appearance of the first case in Mexico until July 2021. In this first approximation the states considered were Susceptible, Infected,…

Applications · Statistics 2021-11-19 Carlos Martinez-Rodriguez

An outbreak of respiratory disease caused by a novel coronavirus is ongoing from December 2019. As of July 22, 2020, it has caused an epidemic outbreak with more than 15 million confirmed infections and above 6 hundred thousand reported…

Populations and Evolution · Quantitative Biology 2021-05-21 Sk Shahid Nadim , Indrajit Ghosh , Joydev Chattopadhyay

Based on the comprehensive national death registry of Mexico spanning from 1998 to 2022 a point and interval estimation method for the excess mortality in Mexico during the years 2020-2022 is proposed based on illness-induced deaths only,…

Applications · Statistics 2023-12-12 Andreu Comas-García , Arturo Erdely

The paper formulates and solves the problem of identification of unknown parameters of mathematical models of the spread of COVID-19 coronavirus infection, based on SEIR type models, based on additional information about the number of…

Populations and Evolution · Quantitative Biology 2020-06-24 Olga Krivorotko , Sergey Kabanikhin , Nikolay Zyatkov , Alexey Prikhodko , Nikita Prokhoshin , Maxim Shishlenin
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