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We demonstrate the ability of statistical data assimilation to identify the measurements required for accurate state and parameter estimation in an epidemiological model for the novel coronavirus disease COVID-19. Our context is an effort…

Populations and Evolution · Quantitative Biology 2020-08-04 Eve Armstrong , Manuela Runge , Jaline Gerardin

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

Two stochastic models are proposed to describe the evolution of the COVID-19 pandemic. In the first model the population is partitioned into four compartments: susceptible $S$, infected $I$, removed $R$ and dead people $D$. In order to have…

Populations and Evolution · Quantitative Biology 2021-09-16 Fabiana Calleri , Giovanni Nastasi , Vittorio Romano

Norden E. Huang, Fangli Qiao and Ka Kit Tung presented a data-driven model for the COVID-19 epidemic in which the relevant functions depend on a set of seven parameters obtained from a statistical analysis of the available data. These…

Physics and Society · Physics 2020-08-17 Charles Horvath

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

Infectious diseases are a threat for human health with tremendous impact on our society at large. The recent COVID-19 pandemic, caused by the SARS-CoV-2, is the latest example of a highly infectious disease ravaging the world, since late…

Populations and Evolution · Quantitative Biology 2021-09-17 Giacomo Cacciapaglia , Corentin Cot , Michele Della Morte , Stefan Hohenegger , Francesco Sannino , Shahram Vatani

In this work, using a detailed dataset furnished by National Health Authorities concerning the Province of Pavia (Lombardy, Italy), we propose to determine the essential features of the ongoing COVID-19 pandemic in term of contact dynamics.…

Populations and Evolution · Quantitative Biology 2021-07-05 M. Zanella , C. Bardelli , G. Dimarco , S. Deandrea , P. Perotti , M. Azzi , S. Figini , G. Toscani

Forecasts of hospitalisations of infectious diseases play an important role for allocating healthcare resources during epidemics and pandemics. Large-scale analysis of model forecasts during the COVID-19 pandemic has shown that the model…

Populations and Evolution · Quantitative Biology 2025-05-20 Grégoire Béchade , Torbjörn Lundh , Philip Gerlee

The discovery of SARS-CoV-2, the responsible virus for the Covid-19 epidemic, has sparked a global health concern with many countries affected. Developing models that can interpret the epidemic and give common trend parameters are useful…

Populations and Evolution · Quantitative Biology 2021-09-21 Milad Radiom , Jean-Franccois Berret

A central pillar of the UK's response to the SARS-CoV-2 pandemic was the provision of up-to-the moment nowcasts and short term projections to monitor current trends in transmission and associated healthcare burden. Here we present a…

The COVID-19 pandemic has significantly challenged traditional epidemiological models due to factors such as delayed diagnosis, asymptomatic transmission, isolation-induced contact changes, and underreported mortality. In response to these…

Applications · Statistics 2025-03-10 Wenchen Liu , Chang Liu , Dehui Wang , Yiyuan She

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

The global spread of pandemics is facilitated by the mobility of populations, transforming localized infections into widespread phenomena. To contain it, timely identification of influential regions that accelerate this process is…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Sudeepini Darapu , Subrata Ghosh , Dibakar Ghosh , Chittaranjan Hens , Santosh Nannuru

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

For practical reasons, many forecasts of case, hospitalization and death counts in the context of the current COVID-19 pandemic are issued in the form of central predictive intervals at various levels. This is also the case for the…

Applications · Statistics 2021-06-09 Johannes Bracher , Evan L. Ray , Tilmann Gneiting , Nicholas G. Reich

Data analysis and visualization are essential for exploring and communicating findings in medical research, especially in epidemiological surveillance. Data on COVID-19 diagnosed cases and mortality, from crowdsourced website COVID-19 India…

Computers and Society · Computer Science 2021-08-24 Arun Mitra , Biju Soman , Gurpreet Singh

In this review, we successively present the methods for phenomenological modeling of the evolution of reported and unreported cases of COVID-19, both in the exponential phase of growth and then in a complete epidemic wave. After the case of…

Analysis of PDEs · Mathematics 2023-10-02 J. Demongeot , P. Magal

One of the central tools to control the COVID-19 pandemics is the knowledge of its spreading dynamics. Here we develop a fractal model capable of describe this dynamics, in term of daily new cases, and provide quantitative criteria for some…

Physics and Society · Physics 2020-07-16 Oscar Sotolongo-Costa , José Weberszpil , Oscar Sotolongo-Grau

Detecting changes in COVID-19 disease transmission over time is a key indicator of epidemic growth.Near real-time monitoring of the pandemic growth is crucial for policy makers and public health officials who need to make informed decisions…

Applications · Statistics 2021-11-30 Luca Scrucca

Epidemic models play a key role in understanding and responding to the emerging COVID-19 pandemic. Widely used compartmental models are static and are of limited use to evaluate intervention strategies with the emerging pandemic. Applying…

Populations and Evolution · Quantitative Biology 2021-01-01 Shuo Wang , Xian Yang , Ling Li , Philip Nadler , Rossella Arcucci , Yuan Huang , Zhongzhao Teng , Yike Guo
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