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For the description of a pandemic mathematical models could be interesting. Both for physicians and politicians as a base for decisions to treat the disease. The responsible estimation of parameters is a main issue of mathematical pandemic…

Populations and Evolution · Quantitative Biology 2020-04-15 Günter Bärwolff

The complexities involved in modelling the transmission dynamics of COVID-19 has been a roadblock in achieving predictability in the spread and containment of the disease. In addition to understanding the modes of transmission, the…

Physics and Society · Physics 2021-09-28 Ayan Paul , Jayanta Kumar Bhattacharjee , Akshay Pal , Sagar Chakraborty

We propose a mathematical model with five compartments for the SARS-CoV-2 transmission: susceptible $S$, undetected infected asymptomatic $A$, undetected infected symptomatic $I$, confirmed positive and isolated $L$, and recovered $ R$, for…

Optimization and Control · Mathematics 2020-09-29 Gabriela Marinoschi

We propose a detailed discrete-time model of COVID-19 epidemics coming in two flavours, mean-field and probabilistic. The main contribution lies in several extensions of the basic model that capture i) user mobility - distinguishing…

Applications · Statistics 2020-09-14 M. Akian , L. Ganassali , S. Gaubert , L. Massoulié

Using a hybrid of machine learning and epidemiological approaches, we propose a novel data-driven approach in predicting US COVID-19 deaths at a county level. The model gives a more complete description of the daily death distribution,…

Machine Learning · Computer Science 2020-10-09 R. Bathwal , P. Chitta , K. Tirumala , V. Varadarajan

Coronavirus disease 2019 (CoViD-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Among many symptoms, cough, fever and tiredness are the most common. People over 60 years old and with…

Dynamical Systems · Mathematics 2021-08-25 João P. S. Maurício de Carvalho , Beatriz Moreira-Pinto

A simple analytical model for modeling the evolution of the 2020 COVID-19 pandemic is presented. The model is based on the numerical solution of the widely used Susceptible-Infectious-Removed (SIR) populations model for describing…

Populations and Evolution · Quantitative Biology 2020-08-26 Efthimios Kaxiras , George Neofotistos , Eleni Angelaki

Students develop and test simple models of the spread of COVID-19. Microsoft Excel is used as the modeling platform because it's non-threatening to students and because it's widely available. Students develop finite difference models and…

Physics Education · Physics 2021-12-14 Peter Hugo Nelson

Accurate numbers are needed to understand and predict viral dynamics. Curation of high-quality literature values for the infectious period duration or household secondary attack rate, for example, is especially pressing currently because…

Other Quantitative Biology · Quantitative Biology 2020-07-10 Yinon M. Bar-On , Ron Sender , Avi I. Flamholz , Rob Phillips , Ron Milo

The present work shows that it is possible to analytically solve a general model to explain the transmission dynamics of SARS-CoV-2. First, the within-host model is described, and later a between-host model, where the coupling between them…

Populations and Evolution · Quantitative Biology 2023-08-07 Raul Isea

We have established a novel mathematical model that considers various aspects of the spreading of the virus, including, the transmission based on being in the latent period, environment to human transmission, governmental decisions, and…

Quantitative Methods · Quantitative Biology 2020-08-31 Kamran Soltani , Ghader Rezazadeh

In this work we evaluate the applicability of an ensemble of population models and machine learning models to predict the near future evolution of the COVID-19 pandemic, with a particular use case in Spain. We rely solely in open and public…

A phenomenological model to describe the Corona Virus(covid-19) Pandemic spread in a given population is developed. It enables the identification of the key quantities required to form adequate policies for control and mitigation in terms…

Populations and Evolution · Quantitative Biology 2020-03-31 Anantanarayanan Thyagaraja

Breaking a complex bio-social phenomenon (epidemic) into its components, considering the processes that determine its dynamics, formalizing the accepted hypotheses in mathematical equations, selecting appropriate experimental and…

Physics and Society · Physics 2020-06-16 A. V. Sokolov , L. A. Sokolova

The COVID-19 pandemic has created an urgent need for robust, scalable monitoring tools supporting stratification of high-risk patients. This research aims to develop and validate prediction models, using the UK Biobank, to estimate COVID-19…

In this work, we derive a system of Boltzmann-type equations to describe the spread of SARS-CoV-2 virus at the microscopic scale, that is by modeling the human-to-human mechanisms of transmission. To this end, we consider two populations,…

Populations and Evolution · Quantitative Biology 2024-02-09 Marzia Bisi , Silvia Lorenzani

From March 23rd, the data for the recovered cases of COVID-19 are missing from the standard repository maintained by the Johns Hopkins University in collaboration with the WHO. But since data concerning recovered patients are extremely…

Populations and Evolution · Quantitative Biology 2020-03-30 Robert Schaback

An urgent problem in controlling COVID-19 spreading is to understand the role of undocumented infection. We develop a five-state model for COVID-19, taking into account the unique features of the novel coronavirus, with key parameters…

Populations and Evolution · Quantitative Biology 2020-03-27 Yong-Shang Long , Zheng-Meng Zhai , Li-Lei Han , Jie Kang , Yi-Lin Li , Zhao-Hua Lin , Lang Zeng , Da-Yu Wu , Chang-Qing Hao , Ming Tang , Zonghua Liu , Ying-Cheng Lai

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

In mid of March 2020, Coronaviruses such as COVID-19 is declared as an international epidemic. More than 125000 confirmed cases and 4,607 death cases have been recorded around more than 118 countries. Unfortunately, a coronavirus vaccine is…

Populations and Evolution · Quantitative Biology 2020-03-18 Haytham H. Elmousalami , Aboul Ella Hassanien