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Accurately forecasting county level COVID-19 confirmed cases is crucial to optimizing medical resources. Forecasting emerging outbreaks pose a particular challenge because many existing forecasting techniques learn from historical seasons…

In this paper, we study the trajectory of a classic SIR epidemic on a family of dynamic random graphs of fixed size, whose set of edges continuously evolves over time. We set general infection and recovery times, and start the epidemic from…

Probability · Mathematics 2025-01-17 Marta Milewska , Remco van der Hofstad , Bert Zwart

A disease in a given population is termed endemic when it exhibits a steady prevalence. We address the pertinent question as to what extent COVID-19 has turned endemic in India. There are several existing models for studying endemic…

Applications · Statistics 2022-11-14 Madhuchhanda Bhattacharjee , Arup Bose

The time-varying reproduction number ($R_t$) gives an indication of the trajectory of an infectious disease outbreak. Commonly used frameworks for inferring $R_t$ from epidemiological time series include those based on compartmental models…

We have developed a globally applicable diagnostic Covid-19 model by augmenting the classical SIR epidemiological model with a neural network module. Our model does not rely upon previous epidemics like SARS/MERS and all parameters are…

Physics and Society · Physics 2020-11-24 Raj Dandekar , Chris Rackauckas , George Barbastathis

The outbreak of the coronavirus disease 2019 (COVID-19) has now spread throughout the globe infecting over 150 million people and causing the death of over 3.2 million people. Thus, there is an urgent need to study the dynamics of…

A nonlinear partial differential equation (PDE) based compartmental model of COVID-19 provides a continuous trace of infection over space and time. Finer resolutions in the spatial discretization, the inclusion of additional model…

Computational Engineering, Finance, and Science · Computer Science 2022-08-04 Sudhi P. V. , Victorita Dolean , Pierre Jolivet , Brandon Robinson , Jodi D. Edwards , Tetyana Kendzerska , Abhijit Sarkar

The unprecedented coronavirus disease 2019 (COVID-19) pandemic is still a worldwide threat to human life since its invasion into the daily lives of the public in the first several months of 2020. Predicting the size of confirmed cases is…

Applications · Statistics 2020-12-02 Xinyu Wang , Lu Yang , Hong Zhang , Zhouwang Yang , Catherine Liu

We provide an overview of the methods that can be used for prediction under uncertainty and data fitting of dynamical systems, and of the fundamental challenges that arise in this context. The focus is on SIR-like models, that are being…

Methodology · Statistics 2022-10-14 Chiara Piazzola , Lorenzo Tamellini , Raúl Tempone

In this paper, we propose a machine learning technics and SIR models (deterministic and stochastic cases) with numerical approximations to predict the number of cases infected with the COVID-19, for both in few days and the following three…

Populations and Evolution · Quantitative Biology 2020-04-29 Babacar Mbaye Ndiaye , Lena Tendeng , Diaraf Seck

A molecular and cellular understanding of how SARS-CoV-2 variably infects and causes severe COVID-19 remains a bottleneck in developing interventions to end the pandemic. We sought to use deep learning to study the biology of SARS-CoV-2…

Machine Learning · Computer Science 2020-12-16 Arijit Sehanobish , Neal G. Ravindra , David van Dijk

With the covid-19 pandemic still ongoing and an enormous amount of test data available, the lessons learned over the last two years need to be developed to a point where they can provide understanding for tackling new variants and future…

Populations and Evolution · Quantitative Biology 2022-06-09 Adam Mielke

Time series forecasting methods play critical role in estimating the spread of an epidemic. The coronavirus outbreak of December 2019 has already infected millions all over the world and continues to spread on. Just when the curve of the…

Social and Information Networks · Computer Science 2022-05-27 Samyak Prajapati , Aman Swaraj , Ronak Lalwani , Akhil Narwal , Karan Verma

The rapidly spreading Covid-19 that affected almost all countries, was first reported at the end of 2019. As a consequence of its highly infectious nature, countries all over the world have imposed extremely strict measures to control its…

Populations and Evolution · Quantitative Biology 2020-07-13 Semra Ahmetolan , Ayse Humeyra Bilge , Ali Demirci , Ayse Peker-Dobie , Onder Ergonul

There is increasing evidence that one of the most difficult problems in trying to control the ongoing COVID-19 epidemic is the presence of a large cohort of asymptomatic infectives. We develop a SIR-type model taking into account the…

Populations and Evolution · Quantitative Biology 2020-06-29 Giuseppe Gaeta

Stochastic infection processes are continuous-time Markov chains on graphs that assign each vertex one of multiple states, such as susceptible, infected, or recovered. Depending on the model, vertices change their state based on random…

Probability · Mathematics 2026-05-20 Nicolas Klodt , Martin S. Krejca

In this work, we discuss the SIR epidemiological model and different variations of it applied to the propagation of the COVID-19 pandemia; we employ the data of the state of Guanajuato and of Mexico. We present some considerations that can…

Populations and Evolution · Quantitative Biology 2022-11-16 Nana Cabo Bizet , Jonanthan Hidalgo Núñez , Gil Estefano Rodrígez Rivera

We introduce a kinetic framework for modeling the time evolution of the statistical distributions of the population densities in the three compartments of susceptible, infectious, and recovered individuals, under epidemic spreading driven…

Analysis of PDEs · Mathematics 2025-12-16 Giorgio Martalò , Giuseppe Toscani , Mattia Zanella

In this paper, a mathematical model is proposed to analyze the dynamic behavior of COVID-19. Based on inter-city networked coupling effects, a fractional-order SEIHDR system with the real-data from 23 January to 18 March, 2020 of COVID-19…

Physics and Society · Physics 2020-05-01 Zhenzhen Lu , Yongguang Yu , YangQuan Chen , Guojian Ren , Conghui Xu , Shuhui Wang , Zhe Yin

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