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Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

Populations and Evolution · Quantitative Biology 2026-02-23 David J. D. Earn , Todd L. Parsons

In an increasingly interconnected world, a key scientific challenge is to examine mechanisms that lead to the widespread propagation of contagions, such as misinformation and pathogens, and identify risk factors that can trigger large-scale…

Social and Information Networks · Computer Science 2024-09-27 Mansi Sood , Hejin Gu , Rashad Eletreby , Swarun Kumar , Chai Wah Wu , Osman Yagan

The majority of research on epidemics relies on models which are formulated in continuous-time. However, real-world epidemic data is gathered and processed in a digital manner, which is more accurately described by discrete-time epidemic…

Optimization and Control · Mathematics 2021-07-23 Bastian Prasse , Piet Van Mieghem

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

Populations and Evolution · Quantitative Biology 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

Social and Information Networks · Computer Science 2015-03-19 Robert Elsässer , Adrian Ogierman

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

Physics and Society · Physics 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

Age structure is incorporated in many types of epidemic model. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of…

Populations and Evolution · Quantitative Biology 2013-03-19 Christopher A. Rhodes , Thomas House

Understanding how societies react to epidemic threats requires more than tracking infection curves. Public perception, collective memory and behavioural adaptation interact through feedback loops that can amplify or suppress the spread of…

Dynamical Systems · Mathematics 2025-12-02 João P. S. Maurício de Carvalho

An interesting inference drawn by some Covid-19 epidemiological models is that there exists a proportion of the population who are not susceptible to infection -- even at the start of the current pandemic. This paper introduces a model of…

Quantitative Methods · Quantitative Biology 2020-09-18 Thomas Parr , Anjali Bhat , Peter Zeidman , Aimee Goel , Alexander J. Billig , Rosalyn Moran , Karl J. Friston

Causal effect estimation in networked systems is central to data-driven decision making. In such settings, interventions on one unit can spill over to others, and in complex physical or social systems, the interaction pathways driving these…

Machine Learning · Statistics 2025-11-27 Sadegh Shirani , Mohsen Bayati

Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the…

Populations and Evolution · Quantitative Biology 2010-09-16 Pierre-André Noël , Bahman Davoudi , Robert C. Brunham , Louis J. Dubé , Babak Pourbohloul

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

Contacts between individuals play an important role in determining how infectious diseases spread. Various methods to gather data on such contacts co-exist, from surveys to wearable sensors. Comparisons of data obtained by different methods…

Physics and Society · Physics 2016-04-18 Julie Fournet , Alain Barrat

Models of contagion arise broadly both in the biological and social sciences, with applications ranging from the transmission of infectious diseases to the diffusion of innovations and the spread of cultural fads. In this Letter, we…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. S. Dodds , D. J. Watts

Relational event network data are becoming increasingly available. Consequently, statistical models for such data have also surfaced. These models mainly focus on the analysis of single networks, while in many applications, multiple…

Methodology · Statistics 2023-06-08 Fabio Vieira , Roger Leenders , Daniel McFarland , Joris Mulder

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

Physics and Society · Physics 2021-02-05 Md Shahzamal , Saeed Khan

This methods article concerns analysing data generated from running experiments on agent based models to study industries and organisations. It demonstrates that when researchers study virtual ecologies they can and should discard…

Applications · Statistics 2024-09-27 Thomas Chesney , Tim Gruchman , Robert Pasley , Altricia Dawson , Stefan Gold

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella