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Near-real time estimations of the effective reproduction number are among the most important tools to track the progression of a pandemic and to inform policy makers and the general public. However, these estimations rely on reported case…

Physics and Society · Physics 2022-07-25 Eszter Bokányi , Zsolt Vizi , Júlia Koltai , Gergely Röst , Márton Karsai

We propose a compartmental mathematical model for the spread of the COVID-19 disease, showing its usefulness with respect to the pandemic in Portugal, from the first recorded case in the country till the end of the three states of…

Populations and Evolution · Quantitative Biology 2020-11-30 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

We propose a mathematical model to analyze the time evolution of the total number of infected population with Covid-19 disease at a region in the ongoing pandemic. Using the available data of Covid-19 infected population on various…

Populations and Evolution · Quantitative Biology 2020-08-17 Nilmani Mathur , Gargi Shaw

Classical epidemiological models assume homogeneous populations. There have been important extensions to model heterogeneous populations, when the identity of the sub-populations is known, such as age group or geographical location. Here,…

Machine Learning · Computer Science 2023-02-10 Roberto Vega , Zehra Shah , Pouria Ramazi , Russell Greiner

We consider a flexible Bayesian evidence synthesis approach to model the age-specific transmission dynamics of COVID-19 based on daily mortality counts. The temporal evolution of transmission rates in populations containing multiple types…

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

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

We propose a new method to estimate the time-varying effective (or instantaneous) reproduction number of the novel coronavirus disease (COVID-19). The method is based on a discrete-time stochastic augmented compartmental model that…

Quantitative Methods · Quantitative Biology 2022-04-27 A. Hasan , H. Susanto , V. R. Tjahjono , R. Kusdiantara , E. R. M. Putri , P. Hadisoemarto , N. Nuraini

In this paper, we continue development of the new epidemiological model HIT, which is suitable for analyzing and predicting the propagation of COVID-19 epidemics. This is a discrete-time model allowing a reconstruction of the dynamics of…

Physics and Society · Physics 2020-07-24 Yurii Nesterov

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

The unprecedented behavioural responses of societies have been evidently shaping the COVID-19 pandemic, yet it is a significant challenge to accurately monitor the continuously changing social mixing patterns in real-time. Contact matrices,…

Physics and Society · Physics 2021-02-24 Júlia Koltai , Orsolya Vásárhelyi , Gergely Röst , Márton Karsai

Based on the classical SIR model, we derive a simple modification for the dynamics of epidemics with a known incubation period of infection. The model is described by a system of integro-differential equations. Parameters of our model…

Populations and Evolution · Quantitative Biology 2021-09-01 David B. Saakian

We present an empirical algorithm to forecast the evolution of the number of COVID-19 symptomatic patients in the early stages of the pandemic spread and after strict social distancing interventions. The algorithm is based on a low…

Populations and Evolution · Quantitative Biology 2020-11-20 Luis Alvarez

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

In this article, we model and study the spread of COVID-19 in Germany, Japan, India and highly impacted states in India, i.e., in Delhi, Maharashtra, West Bengal, Kerala and Karnataka. We consider recorded data published in Worldometers and…

Physics and Society · Physics 2022-03-15 Ian Cooper , Argha Mondal , Chris G. Antonopoulos , Arindam Mishra

In this work, we adapt the epidemiological SIR model to study the evolution of the dissemination of COVID-19 in Germany and Brazil (nationally, in the State of Paraiba, and in the City of Campina Grande). We prove the well posedness and the…

Populations and Evolution · Quantitative Biology 2022-04-20 Adriano A. Batista , Severino Horácio da Silva

In this paper we explore a time-depended SEIR model, in which the dynamics of the infection in four groups from a selected target group (population), divided according to the infection, are modeled by a system of nonlinear ordinary…

Populations and Evolution · Quantitative Biology 2021-03-31 Svetozar Margenov , Nedyu Popivanov , Iva Ugrinova , Stanislav Harizanov , Tsvetan Hristov

We propose a forecasting method for predicting epidemiological health series on a two-week horizon at the regional and interregional resolution. The approach is based on model order reduction of parametric compartmental models, and is…

Methodology · Statistics 2020-12-11 Athmane Bakhta , Thomas Boiveau , Yvon Maday , Olga Mula

Approaches to the calculation of the full state vector of a larger epidemiological model for the spread of COVID-19 in Sweden at the initial time instant from available data and with a simplified dynamical model are proposed and evaluated.…

Systems and Control · Electrical Eng. & Systems 2020-07-20 Håkan Runvik , Alexander Medvedev , Robin Eriksson , Stefan Engblom

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
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