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We examine how coupling functions in the theory of dynamical systems provide a quantitative window into climate dynamics. Previously we have shown that a one-dimensional periodic non-autonomous stochastic dynamical system can simulate the…

Atmospheric and Oceanic Physics · Physics 2019-11-12 Woosok Moon , John S. Wettlaufer

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

Emerging in December 2019, the COVID-19 pandemic caused widespread health, economic, and social disruptions. Rapid global transmission overwhelmed healthcare systems, resulting in high infection rates, hospitalisations, and fatalities. To…

Populations and Evolution · Quantitative Biology 2025-10-08 Zacharias Komodromos , Kleanthis Malialis , Panayiotis Kolios

COVID-19 data released by public health authorities features the presence of notable time-delays, corresponding to the difference between actual time of infection and identification of infection. These delays have several causes, including…

Dynamical Systems · Mathematics 2021-11-29 Nicola Guglielmi , Elisa Iacomini , Alex Viguerie

Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

Populations and Evolution · Quantitative Biology 2020-09-14 Amit Tewari

In this paper we introduce a compartmental epidemic model describing the transmission of the COVID-19 disease in presence of non-mandatory vaccination. The model takes into account the hesitancy and refusal of vaccination. To this aim, we…

Populations and Evolution · Quantitative Biology 2021-06-23 Bruno Buonomo , Rossella Della Marca , Alberto d'Onofrio , Maria Groppi

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

Estimating the causal effect of a time-varying public health intervention on the course of an infectious disease epidemic is an important methodological challenge. During the COVID-19 pandemic, researchers attempted to estimate the effects…

Applications · Statistics 2025-08-20 Yichi Zhang , Forrest W. Crawford

In this paper, we propose a dynamical model to describe the transmission of COVID-19, which is spreading in China and many other countries. To avoid a larger outbreak in the worldwide, Chinese government carried out a series of strong…

Populations and Evolution · Quantitative Biology 2020-03-09 Jiwei Jia , Jian Ding , Siyu Liu , Guidong Liao , Jingzhi Li , Ben Duan , Guoqing Wang , Ran Zhang

Cooperation and competition between pathogens can alter the amount of individuals affected by a co-infection. Nonetheless, the evolution of the pathogens' behavior has been overlooked. Here, we consider a co-evolutionary model where the…

Populations and Evolution · Quantitative Biology 2022-03-23 Fakhteh Ghanbarnejad , Kai Seegers , Alessio Cardillo , Philipp Hövel

Coronavirus disease 2019 (CoViD-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Among many symptoms, cough, fever and tiredness are the most common. People over 60 years old and with…

Dynamical Systems · Mathematics 2021-08-25 João P. S. Maurício de Carvalho , Beatriz Moreira-Pinto

During the COVID-19 pandemic, the behavioral response to reported case numbers changed drastically over time. While a few dozen cases were enough to trigger government-induced and voluntary contact reduction in early 2020, less than a year…

Physics and Society · Physics 2023-09-27 Bastian Heinlein , Manlio De Domenico

The concept of the mutual influence that awareness and disease may exert on each other has recently presented significant challenges. The actions individuals take to prevent contracting a disease and their level of awareness can profoundly…

Social and Information Networks · Computer Science 2025-08-07 Sara Shabani , Sahar Jafarbegloo , Sadegh Raeisi , Fakhteh Ghanbarnejad

Numerous studies have attempted to model the effect of mass media on the transmission of diseases such as influenza, however quantitative data on media engagement has until recently been difficult to obtain. With the recent explosion of…

Social and Information Networks · Computer Science 2016-09-28 Lewis Mitchell , Joshua V. Ross

Epidemiological forecasting from surveillance data is a hard problem and hybridizing mechanistic compartmental models with neural models is a natural direction. The mechanistic structure helps keep trajectories epidemiologically plausible,…

Machine Learning · Computer Science 2026-02-09 Yiqi Su , Ray Lee , Jiaming Cui , Naren Ramakrishnan

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from…

Populations and Evolution · Quantitative Biology 2023-09-25 Krishna Dasaratha

The coronavirus disease 2019 (COVID-19) pandemic has exerted a profound impact on patients with end-stage renal disease relying on kidney dialysis to sustain their lives. Motivated by a request by the U.S. Centers for Medicare & Medicaid…

Methodology · Statistics 2022-09-02 Wenbo Wu , John D. Kalbfleisch , Jeremy M. G. Taylor , Jian Kang , Kevin He

Short-term forecasts of infectious disease spread are a critical component in risk evaluation and public health decision making. While different models for short-term forecasting have been developed, open questions about their relative…

This research investigates the coupled dynamics of behavior and infectious disease using a mathematical model. We integrate a two-state q-voter opinion process with SIS-type infection dynamics, where transmission rates are influenced by the…

Physics and Society · Physics 2025-12-13 Thomas Goetz , Tyll Krueger , Karol Niedzielewski , Jan Schneider , Barbara Pabjan

We investigate the mechanisms behind the quasi-periodic outbursts on the Covid-19 epidemics. Data for France and Germany show that the patterns of outbursts exhibit a qualitative change in early 2022, which appears in a change in their…

Populations and Evolution · Quantitative Biology 2023-10-04 Michel Peyrard