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This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

Optimization and Control · Mathematics 2020-08-20 Mauricio C. de Oliveira

During 2020, the infection rate of COVID-19 has been investigated by many scholars from different research fields. In this context, reliable and interpretable forecasts of disease incidents are a vital tool for policymakers to manage…

Machine Learning · Computer Science 2021-01-05 Cornelius Fritz , Emilio Dorigatti , David Rügamer

Accurate forecasting of viral disease outbreaks is crucial for guiding public health responses and preventing widespread loss of life. In recent years, Physics-Informed Neural Networks (PINNs) have emerged as a promising framework that can…

Quantitative Methods · Quantitative Biology 2025-08-12 Bikram Das , Rupchand Sutradhar , D C Dalal

Background and Objective: The new type of coronavirus is also called COVID-19. It began to spread at the end of 2019 and has now spread across the world. Until October 2020, It has infected around 37 million people and claimed about 1…

Image and Video Processing · Electrical Eng. & Systems 2021-05-21 Bo Cheng , Ruhui Xue , Hang Yang , Laili Zhu , Wei Xiang

Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity…

Machine Learning · Computer Science 2022-11-30 Hamed Bolandi , Gautam Sreekumar , Xuyang Li , Nizar Lajnef , Vishnu Naresh Boddeti

Particle Image Velocimetry (PIV) data is a valuable asset in fluid mechanics. It is capable of visualizing flow structures even in complex physics scenarios, such as the flow at the exit of the rotor of a centrifugal fan. Machine learning…

Fluid Dynamics · Physics 2024-08-01 Maryam Soltani , Ghasem Akbari , Nader Montazerin

We present an exact analytical solution to a one-dimensional model of the Susceptible-Infected-Recovered (SIR) epidemic type, with infection rates dependent on nearest-neighbor occupations. We use a quantum mechanical approach, transforming…

Statistical Mechanics · Physics 2015-05-30 H. Thomas Williams , Irina Mazilu , Dan Mazilu

Purpose: Since the recent COVID-19 outbreak, there has been an avalanche of research papers applying deep learning based image processing to chest radiographs for detection of the disease. To test the performance of the two top models for…

Image and Video Processing · Electrical Eng. & Systems 2020-06-25 Imon Banerjee , Priyanshu Sinha , Saptarshi Purkayastha , Nazanin Mashhaditafreshi , Amara Tariq , Jiwoong Jeong , Hari Trivedi , Judy W. Gichoya

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

We introduce a comprehensive screening platform for the COVID-19 (a.k.a., SARS-CoV-2) pneumonia. The proposed AI-based system works on chest x-ray (CXR) images to predict whether a patient is infected with the COVID-19 disease. Although the…

The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

Physics-Informed Neural Network (PINN) is a deep learning framework that integrates the governing equations underlying data into a loss function. In this study, we consider the problem of estimating state variables and parameters in…

Symbolic Computation · Computer Science 2025-08-07 Mizuka Komatsu

Mathematical and simulation models are often used to predict the spread of a disease and estimate the impact of public health interventions, and many such models have been developed and used during the COVID-19 pandemic. This paper…

Populations and Evolution · Quantitative Biology 2024-03-18 Jeffrey W. Herrmann , Hongjie Liu , Donald K. Milton

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

Objective. The COVID-19 pandemic has threatened to collapse hospital and ICU services, and it has affected the care programs for non-COVID patients. The objective was to develop a mathematical model designed to optimize predictions related…

Analysing and understanding the transmission and evolution of the COVID-19 pandemic is mandatory to be able to design the best social and medical policies, foresee their outcomes and deal with all the subsequent socio-economic effects. We…

Populations and Evolution · Quantitative Biology 2025-07-28 Radu D. Stochiţoiu , Marian Petrica , Traian Rebedea , Ionel Popescu , Marius Leordeanu

We study the increases of infections and deaths in Sweden caused by COVID-19 with several different models: Firstly an analytical susceptible-infected (SI) model and the standard susceptible-infected-recovered (SIR) model. Then within the…

Populations and Evolution · Quantitative Biology 2020-04-06 Chong Qi , Daniel Karlsson , Karl Sallmen , Ramon Wyss

OBJECTIVES: to describe the first wave of the COVID-19 pandemic with a focus on undetected cases and to evaluate different post-lockdown scenarios. DESIGN: the study introduces a SEIR compartmental model, taking into account the…

Populations and Evolution · Quantitative Biology 2021-06-03 Nicola Picchiotti , Monica Salvioli , Elena Zanardini , Francesco Missale

The last leg of the year 2019 gave rise to a virus named COVID-19 (Corona Virus Disease 2019). Since the beginning of this infection in India, the government implemented several policies and restrictions to curtail its spread among the…

Populations and Evolution · Quantitative Biology 2020-09-15 Punam Bedi , Shivani , Pushkar Gole , Neha Gupta , Vinita Jindal
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