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Successful predictive modeling of epidemics requires an understanding of the implicit feedback control strategies which are implemented by populations to modulate the spread of contagion. While this task of capturing endogenous behavior can…

Populations and Evolution · Quantitative Biology 2022-03-31 Ali Jadbabaie , Arnab Sarker , Devavrat Shah

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

Applications · Statistics 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

Populations and Evolution · Quantitative Biology 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

In this article, we consider a dynamic epidemiology model for the spread of the COVID-19 infection. Starting from the classical SEIR model, the model is modified so as to better describe characteristic features of the underlying pathogen…

Populations and Evolution · Quantitative Biology 2020-05-22 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

In this paper we propose an epidemiological model for the spread of COVID-19. The dynamics of the spread is based on four fundamental categories of people in a population: Tested and infected, Non-Tested but infected, Tested but not…

Physics and Society · Physics 2020-06-12 Buddhananda Banerjee , Pradumn Kumar Pandey , Bibhas Adhikari

A quantitative COVID-19 model that incorporates hidden asymptomatic patients is developed, and an analytic solution in parametric form is given. The model incorporates the impact of lockdown and resulting spatial migration of population due…

Populations and Evolution · Quantitative Biology 2020-06-02 Shaurya Kaushal , Abhineet Singh Rajput , Soumyadeep Bhattacharya , M. Vidyasagar , Aloke Kumar , Meher K. Prakash , Santosh Ansumali

We have studied the dynamic evolution of the Covid-19 pandemic in Argentina. The marked heterogeneity in population density and the very extensive geography of the country becomes a challenge itself. Standard compartment models fail when…

Populations and Evolution · Quantitative Biology 2021-01-01 Nadia L. Barreiro , Tzype Govezensky , Pablo G. Bolcatto , Rafael A. Barrio

The Coronavirus Disease 2019 (COVID-19) pandemic has caused tremendous amount of deaths and a devastating impact on the economic development all over the world. Thus, it is paramount to control its further transmission, for which purpose it…

Applications · Statistics 2021-01-11 Quan-Lin Li , Chengliang Wang , Yiming Xu , Chi Zhang , Yanxia Chang , Xiaole Wu , Zhen-Ping Fan , Zhi-Guo Liu

In this paper, we propose a deep learning model to forecast the range of increase in COVID-19 infected cases in future days and we present a novel method to compute equidimensional representations of multivariate time series and…

Computers and Society · Computer Science 2020-08-04 Ankit Ramchandani , Chao Fan , Ali Mostafavi

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

COVID-19 pandemic has brought the whole world to a stand-still over the last few months. In particular the pace at which pandemic has spread has taken everybody off-guard. The Governments across the world have responded by imposing…

Machine Learning · Computer Science 2020-08-19 Shreekanth M. Prabhu , Natarajan Subramaniam

Many countries have passed their first COVID-19 epidemic peak. Traditional epidemiological models describe this as a result of non-pharmaceutical interventions that pushed the growth rate below the recovery rate. In this new phase of the…

Physics and Society · Physics 2020-08-31 Stefan Thurner , Peter Klimek , Rudolf Hanel

The dynamics of epidemics depend on how people's behavior changes during an outbreak. At the beginning of the epidemic, people do not know about the virus, then, after the outbreak of epidemics and alarm, they begin to comply with the…

Physics and Society · Physics 2021-11-29 I. A. Kastalskiy , E. V. Pankratova , E. M. Mirkes , V. B. Kazantsev , A. N. Gorban

Epidemiological models contain a set of parameters that must be adjusted based on available observations. Once a model has been calibrated, it can be used as a forecasting tool to make predictions and to evaluate contingency plans. It is…

We introduce a new probabilistic model to estimate the real spread of the novel SARS-CoV-2 virus along regions or countries. Our model simulates the behavior of each individual in a population according to a probabilistic model through an…

Populations and Evolution · Quantitative Biology 2020-05-05 Marcos Matabuena , Carlos Meijide-García , Pablo Rodríguez-Mier , Víctor Leborán

We extended the Wikle's Bayesian hierarchical model based on a diffusion-reaction equation [Wikle, 2003] to investigate the COVID-19 spatio-temporal spread events across the USA from Mar 2020 to Feb 2022. Our model incorporated an advection…

Applications · Statistics 2025-09-17 Mengqi Cen , Xuejing Meng , X. Joan Hu , Juxin Liu , Jianhong Wu

Mathematical models are widely recognized as an important tool for analyzing and understanding the dynamics of infectious disease outbreaks, predict their future trends, and evaluate public health intervention measures for disease control…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Yukun Tan , Durward Cator , Martial Ndeffo-Mbah , Ulisses Braga-Neto

In response to the ongoing pandemic and health emergency of COVID-19, several models have been used to understand the dynamics of virus spread. Some employ mathematical models like the compartmental SEIHRD approach and others rely on…

Computational Geometry · Computer Science 2024-09-10 Raunak Sarbajna , Karima Elgarroussi , Hoang D Vo , Jianyuan Ni , Christoph F. Eick

In this paper we create a compartmental, stochastic process model of SARS-CoV-2 transmission, where the process's mean and variance have distinct dynamics. The model is fit to time series data from Washington from January 2020 to March 2021…

Populations and Evolution · Quantitative Biology 2022-05-05 Niket Thakkar , Mike Famulare

We study the continuous absorbing-state phase transition in the one-dimensional diffusive epidemic process via mean-field theory and Monte Carlo simulation. In this model, particles of two species (A and B) hop on a lattice and undergo…

Statistical Mechanics · Physics 2009-11-11 Daniel Souza Maia , Ronald Dickman