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We build a deep-learning-based SEIR-AIM model integrating the classical Susceptible-Exposed-Infectious-Removed epidemiology model with forecast modules of infection, community mobility, and unemployment. Through linking Google's…

General Economics · Economics 2021-09-22 Lin William Cong , Ke Tang , Bing Wang , Jingyuan Wang

Epidemic prediction is a fundamental task for epidemic control and prevention. Many mechanistic models and deep learning models are built for this task. However, most mechanistic models have difficulty estimating the time/region-varying…

Computers and Society · Computer Science 2023-06-28 Qi Cao , Renhe Jiang , Chuang Yang , Zipei Fan , Xuan Song , Ryosuke Shibasaki

In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among…

Physics and Society · Physics 2015-06-09 Martin Dottori , Gabriel Fabricius

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

Physics and Society · Physics 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

Compartmental models, especially the Susceptible-Infected-Removed (SIR) model, have long been used to understand the behaviour of various diseases. Allowing parameters, such as the transmission rate, to be time-dependent functions makes it…

Methodology · Statistics 2024-09-27 Son Luu , Edward Susko , Lam Si Tung Ho

The integration of empirical data in computational frameworks to model the spread of infectious diseases poses challenges that are becoming pressing with the increasing availability of high-resolution information on human mobility and…

Populations and Evolution · Quantitative Biology 2013-04-24 Anna Machens , Francesco Gesualdo , Caterina Rizzo , Alberto E Tozzi , Alain Barrat , Ciro Cattuto

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

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

We introduce an epidemic spreading model on a network using concepts from percolation theory. The model is motivated by discussing the standard SIR model, with extensions to describe effects of lockdowns within a population. The underlying…

Physics and Society · Physics 2020-08-26 Fabrizio Croccolo , H. Eduardo Roman

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

Dynamical Systems · Mathematics 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

In this manuscript, we develop a mobility-based Susceptible-Infectious-Recovered (SIR) model to elucidate the dynamics of pandemic propagation. While traditional SIR models within the field of epidemiology aptly characterize transitions…

Dynamical Systems · Mathematics 2025-01-16 Ciana Applegate , Jiaxu Li , Dan Han

I estimate the Susceptible-Infected-Recovered (SIR) epidemic model for Coronavirus Disease 2019 (COVID-19). The transmission rate is heterogeneous across countries and far exceeds the recovery rate, which enables a fast spread. In the…

Populations and Evolution · Quantitative Biology 2020-03-27 Alexis Akira Toda

Students develop and test simple models of the spread of COVID-19. Microsoft Excel is used as the modeling platform because it's non-threatening to students and because it's widely available. Students develop finite difference models and…

Physics Education · Physics 2021-12-14 Peter Hugo Nelson

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

Populations and Evolution · Quantitative Biology 2022-11-16 Ryan Wilkinson , Marcus Roper

We propose a time-fractional compartmental model (SEI$_A$I$_S$HRD) comprising of the susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized, recovered and dead population for the Covid-19 pandemic. We study the…

Populations and Evolution · Quantitative Biology 2021-03-17 Toheeb A. Biala , Abdul Q. Khaliq

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

With the outbreak of the COVID-19 pandemic, various studies have focused on predicting the trajectory and risk factors of the virus and its variants. Building on previous work that addressed this problem using genetic and epidemiological…

Applications · Statistics 2023-12-25 Catherine Li , Daniel Lazarev

As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

Numerical Analysis · Mathematics 2025-02-24 Ayesha Baig , Li Zhouxin

We consider the problem of estimating the topology of spatial interactions in a discrete state, discrete time spatio-temporal graphical model where the interactions affect the temporal evolution of each agent in a network. Among other…

Machine Learning · Statistics 2010-04-15 Patrick L. Harrington , Alfred O. Hero

Pandemics can cause immense disruption and damage to communities and societies. Thus far, modeling of pandemics has focused on either large-scale difference equation models like the SIR and the SEIR models, or detailed micro-level…

Multiagent Systems · Computer Science 2010-07-27 Teruhiko Yoneyama , Sanmay Das , Mukkai Krishnamoorthy