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The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the transmission/infection and recovery dynamics of COVID-19 remain obscure. A time-dependent Susceptible, Exposed, Infectious, and Recovered (SEIR) model…

Populations and Evolution · Quantitative Biology 2020-04-01 Yong Zhang , Xiangnan Yu , HongGuang Sun , Geoffrey R. Tick , Wei Wei , Bin Jin

The outbreak of novel coronavirus-caused pneumonia (COVID-19) in Wuhan has attracted worldwide attention. Here, we propose a generalized SEIR model to analyze this epidemic. Based on the public data of National Health Commission of China…

Populations and Evolution · Quantitative Biology 2020-06-26 Liangrong Peng , Wuyue Yang , Dongyan Zhang , Changjing Zhuge , Liu Hong

Stochastic epidemic models can estimate infection and removal rates, and derived quantities such as the basic reproductive number ($R_0$), when both infection and removal times are observed. In practice, however, removal times are often…

Methodology · Statistics 2026-03-24 Seth D. Temple , Jonathan Terhorst

We study the classic Susceptible-Infected-Recovered (SIR) model for the spread of an infectious disease. In this stochastic process, there are two competing mechanism: infection and recovery. Susceptible individuals may contract the disease…

Populations and Evolution · Quantitative Biology 2012-05-08 E. Ben-Naim , P. L. Krapivsky

Power-law scalings are ubiquitous to physical phenomena undergoing a continuous phase transition. The classic Susceptible-Infectious-Recovered (SIR) model of epidemics is one such example where the scaling behavior near a critical point has…

Populations and Evolution · Quantitative Biology 2015-06-18 Sarabjeet Singh , Christopher R. Myers

Generative AI has the potential to transform how firms produce output. Yet, credible evidence on how AI is actually substituting for human labor remains limited. In this paper, we study firm-level substitution between contracted online…

General Economics · Economics 2026-02-03 Ryan Stevens

Markets are subjected to both endogenous and exogenous risks that have caused disruptions to financial and economic markets around the globe, leading eventually to fast stock market declines. In the past, markets have recovered after any…

Statistical Finance · Quantitative Finance 2021-02-03 Karina Arias-Calluari , Fernando Alonso-Marroquin , Morteza Nattagh-Najafi , Michael Harré

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence each other bidirectionally. In particular, edges appear and…

Probability · Mathematics 2026-02-17 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

We used Bayesian model inversion to estimate epidemic parameters from the reported case and death rates from seven countries using data from late January 2020 to April 5th 2020. Two distinct generative model types were employed: first a…

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

The recent COVID-19 pandemic highlighted the need of non-pharmaceutical interventions in the first stages of a pandemic. Among these, lockdown policies proved unavoidable yet extremely costly from an economic perspective. To better…

Optimization and Control · Mathematics 2021-12-14 Leonardo Cianfanelli , Francesca Parise , Daron Acemoglu , Giacomo Como , Asuman Ozdaglar

This study investigates the labor market consequences of AI by analyzing near real-time changes in employment status and work hours across occupations in relation to advances in AI capabilities. We construct a dynamic Occupational AI…

General Economics · Economics 2025-07-14 Jacob Dominski , Yong Suk Lee

In a pandemic like Covid-19, there are many countries of lower-earning cannot provide a complete locked-down within the duration of the detected case. The locked-down may result in famine throughout the region of underdeveloped countries…

Populations and Evolution · Quantitative Biology 2020-05-15 M. E. Hoque , S. K. Das

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

To understand the impact of vaccination, we consider a SIVR (susceptible-infected-vaccinated-recovered) model which combines impulsive vaccination into the classical SIR model. The final size is firstly defined and estimated, and then the…

Populations and Evolution · Quantitative Biology 2024-10-29 Phyu Phyu Win , Zhigui Lin , Mengyun Zhang

This article presents a new model to predict the evolution of infective diseases under uncertainty or low-quality information, just as it has happened in the initial scenario during the CoVid-19 spread in China and Europe. The model has…

Other Quantitative Biology · Quantitative Biology 2020-04-14 Efren M. Benavides

The epidemic curve and the final extent of the COVID-19 pandemic are usually predicted from the rate of early exponential raising using the SIR model. These predictions implicitly assume a full social mixing, which is not plausible…

Populations and Evolution · Quantitative Biology 2020-04-02 Gyula M. Szabó

A simplified susceptible-infected-recovered (SIR) epidemic model and a small-world model are applied to analyse the spread and control of Severe Acute Respiratory Syndrome (SARS) for Hong Kong in early 2003. From data available in mid April…

Populations and Evolution · Quantitative Biology 2007-05-23 Pengliang Shi , Michael Small

We study the effect of noisy infection (contact) and recovery rates on the distribution of outbreak sizes in the stochastic SIR model. The rates are modeled as Ornstein-Uhlenbeck processes with finite correlation time and variance, which we…

Populations and Evolution · Quantitative Biology 2023-08-28 Jason Hindes , Luis Mier-y-Teran-Romero , Ira B. Schwartz , Michael Assaf

We analyze a Markovian SIR epidemic model where individuals either recover naturally or are diagnosed, leading to isolation and potential contact tracing. Our focus is on digital contact tracing via a tracing app, considering both its…

Probability · Mathematics 2026-01-14 Tom Britton , Dongni Zhang