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The problems of observability and identifiability have been of great interest as previous steps to estimating parameters and initial conditions of dynamical systems to which some known data (observations) are associated. While most works…

Dynamical Systems · Mathematics 2025-06-16 Alicja B Kubik , Benjamin Ivorra , Alain Rapaport , Ángel M Ramos

Policy-makers require data-driven tools to assess the spread of COVID-19 and inform the public of their risk of infection on an ongoing basis. We propose a rigorous hybrid model-and-data-driven approach to risk scoring based on a…

Since the first coronavirus case was identified in the U.S. on Jan. 21, more than 1 million people in the U.S. have confirmed cases of COVID-19. This infectious respiratory disease has spread rapidly across more than 3000 counties and 50…

Machine Learning · Computer Science 2021-06-25 Shuang Li , Lu Wang , Xinyun Chen , Yixiang Fang , Yan Song

Mathematical models of SARS-CoV-2 spread are used for guiding the design of mitigation steps aimed at containing and decelerating the contagion, and at identifying impending breaches of health care system surge capacity. The challenges of…

Populations and Evolution · Quantitative Biology 2020-06-17 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

Severe acute respiratory disease SARS-CoV-2 has had a found impact on public health systems and healthcare emergency response especially with respect to making decisions on the most effective measures to be taken at any given time. As…

Machine Learning · Computer Science 2023-09-19 Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

The SARS-CoV-2 infectious outbreak has rapidly spread across the globe and precipitated varying policies to effectuate physical distancing to ameliorate its impact. In this study, we propose a new hybrid machine learning model, SIRNet, for…

Populations and Evolution · Quantitative Biology 2020-04-23 Nicholas Soures , David Chambers , Zachariah Carmichael , Anurag Daram , Dimpy P. Shah , Kal Clark , Lloyd Potter , Dhireesha Kudithipudi

We propose an epidemiological model using an adaptive dynamic three compartment (with four states) SIR(D) model. Our approach is similar to non-parametric curve fitting in spirit and automatically adapts to key external factors, such as…

Applications · Statistics 2020-09-14 Madhuchhanda Bhattacharjee , Arup Bose

The SIR model is one of the most prototypical compartmental models in epidemiology. Generalizing this ordinary differential equation (ODE) framework into a spatially distributed partial differential equation (PDE) model is a considerable…

Quantitative Methods · Quantitative Biology 2024-07-11 Su Yang , Weiqi Chu , Panayotis Kevrekidis

The SARS-CoV-2 virus and COVID-19 disease have posed unprecedented and overwhelming demand, challenges and opportunities to domain, model and data driven modeling. This paper provides a comprehensive review of the challenges, tasks,…

Computers and Society · Computer Science 2021-08-05 Longbing Cao , Qing Liu

Compartmental models are a tool commonly used in epidemiology for the mathematical modelling of the spread of infectious diseases, with their most popular representative being the Susceptible-Infected-Removed (SIR) model and its…

Machine Learning · Computer Science 2022-12-19 Lorenz Kummer , Kevin Sidak

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Machine Learning · Computer Science 2025-04-30 Ying Qian , Kui Zhang , Éric Marty , Avranil Basu , Eamon B. O'Dea , Xianqiao Wang , Spencer Fox , Pejman Rohani , John M. Drake , He Li

The outbreak of the novel coronavirus disease 2019 (COVID-19), caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has been continuously affecting human lives and communities around the world in many ways, from cities…

Machine Learning · Computer Science 2020-07-24 Ashkan Ebadi , Pengcheng Xi , Stéphane Tremblay , Bruce Spencer , Raman Pall , Alexander Wong

Calibration of a SIR (Susceptibles-Infected-Recovered) model with official international data for the COVID-19 pandemics provides a good example of the difficulties inherent the solution of inverse problems. Inverse modeling is set up in a…

Populations and Evolution · Quantitative Biology 2020-06-09 Mauro Giudici , Alessandro Comunian , Romina Gaburro

COVID-19 has challenged health systems to learn how to learn. This paper describes the context, methods and challenges for learning to improve COVID-19 care at one academic health center. Challenges to learning include: (1) choosing a right…

Recently the A/H1N1-2009 virus pandemic appeared in Mexico and in other nations. We present a study of this pandemic in the Mexican case using the SIR model to describe epidemics. This model is one of the simplest models but it has been a…

Biological Physics · Physics 2012-10-26 Mario A. Rodriguez-Meza

Infectious disease epidemiologists routinely fit stochastic epidemic models to time series data to elucidate infectious disease dynamics, evaluate interventions, and forecast epidemic trajectories. To improve computational tractability,…

This work is a trial in which we propose SIR model and machine learning tools to analyze the coronavirus pandemic in the real world. Based on the public data from \cite{datahub}, we estimate main key pandemic parameters and make predictions…

Populations and Evolution · Quantitative Biology 2020-04-06 Babacar Mbaye Ndiaye , Lena Tendeng , Diaraf Seck

In response to the COVID-19 pandemic, the integration of interpretable machine learning techniques has garnered significant attention, offering transparent and understandable insights crucial for informed clinical decision making. This…

Machine Learning · Computer Science 2024-09-10 Jinzhi Shen , Ke Ma

This document aims to estimate and describe the effects of the social distancing measures implemented in several countries with the expectancy of controlling the spread of COVID-19. The procedure relies on the classic…

Populations and Evolution · Quantitative Biology 2021-06-28 Gerardo L. Febres

The COVID-19 epidemic has swept the world for over a year. However, a large number of infectious asymptomatic COVID-19 cases (\textit{ACC}s) are still making the breaking up of the transmission chains very difficult. Efforts by…

Social and Information Networks · Computer Science 2021-10-26 Yue Hu , Budhitama Subagdja , Ah-Hwee Tan , Chai Quek , Quanjun Yin