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A number of theoretical models have been developed in recent years modelling epidemic spread in educational settings such as universities to help inform re-opening strategies during the Covid-19 pandemic. However, these studies have had…

Populations and Evolution · Quantitative Biology 2023-06-19 Alex Best , Prerna Singh

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Epidemiological models are an important tool in coping with epidemics, as they offer a forecast, even if often simplistic, of the behavior of the disease in the population. This allows responsible health agencies to organize themselves and…

Populations and Evolution · Quantitative Biology 2023-08-03 Eliza Maria Ferreira , Ricardo Edem Ferreira , Chiara Mocenni

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

Dynamical Systems · Mathematics 2025-03-20 Marcela Ordorica Arango , Anastasia Bizyaeva , Simon A. Levin , Naomi Ehrich Leonard

In this paper, we address a social planner's optimal control problem for a partially observable stochastic epidemic model. The control measures include social distancing, testing, and vaccination. Using a diffusion approximation for the…

Optimization and Control · Mathematics 2025-03-11 Ibrahim Mbouandi Njiasse , Florent Ouabo Kamkumo , Ralf Wunderlich

Augmenting classical epidemiological models with information from the social sciences helps unveil the interplay between contagion dynamics and social responses. However, multidisciplinary integration of social analysis and epidemiological…

Physics and Society · Physics 2025-07-29 Daniele Proverbio , Riccardo Tessarin , Giulia Giordano

The symptoms of many infectious diseases influence their host to withdraw from social activity limiting their own potential to spread. Successful transmission therefore requires the onset of infectiousness to coincide with a time when its…

Populations and Evolution · Quantitative Biology 2017-07-27 Ewan Colman , Kristen Spies , Shweta Bansal

Faced with a dangerous epidemic humans will spontaneously social distance to reduce their risk of infection at a socio-economic cost. Compartmentalised epidemic models have been extended to include this endogenous decision making:…

Theoretical Economics · Economics 2024-07-08 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto , Matthew S. Turner

While most existing epidemic models focus on the influence of isolated factors, infectious disease transmission is inherently shaped by the complex interplay of multiple interacting elements. To better capture real-world dynamics, it is…

Physics and Society · Physics 2025-04-18 Guangyuan Mei , Yao Cai , Su-Su Zhang , Ying Huang , Chuang Liu , Xiu-Xiu Zhan

This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual's decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every…

Multiagent Systems · Computer Science 2020-04-28 Changliu Liu

Individuals involved in common group activities/settings -- e.g., college students that are enrolled in the same class and/or live in the same dorm -- are exposed to recurrent contacts of physical proximity. These contacts are known to…

Physics and Society · Physics 2024-10-22 Siddharth Patwardhan , Varun K. Rao , Santo Fortunato , Filippo Radicchi

Recent studies in network science and control have shown a meaningful relationship between the epidemic processes (e.g., COVID-19 spread) and some network properties. This paper studies how such network properties, namely clustering…

Social and Information Networks · Computer Science 2023-03-17 Mohammadreza Doostmohammadian , Hamid R. Rabiee

Understanding the interplay between human behavioral phenomena and infectious disease dynamics has been one of the central challenges of mathematical epidemiology. However, socio-cognitive processes critical for the initiation of desired…

Physics and Society · Physics 2024-01-01 Qingchu Wu , Tarik Hadzibeganovic , Xiao-Pu Han

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Just like the degrees of human and animal interaction networks, the distribution of the times between interactions is known to often be right-skewed and fat-tailed. Both these distributions affect epidemic dynamics strongly, but, as we show…

Populations and Evolution · Quantitative Biology 2020-05-14 Naoki Masuda , Petter Holme

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

Physics and Society · Physics 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

During the COVID-19 crisis, policymakers have implemented "social bubble" merging strategies, which allowed people from different households to meet and interact. Although these measures can mitigate the negative effects of extreme…

Physics and Society · Physics 2026-03-17 L. D. Valdez , J. H. Peressutti

Many epidemic models approximate social contact behavior by assuming random mixing within mixing groups (e.g., homes, schools and workplaces). The effect of more realistic social network structure on estimates of epidemic parameters is an…

Methodology · Statistics 2012-08-27 Gail E. Potter , Mark S. Handcock , Ira M. Longini, , M. Elizabeth Halloran

Interaction patterns among individuals play vital roles in spreading infectious diseases. Understanding these patterns and integrating their impact in modeling diffusion dynamics of infectious diseases are important for epidemiological…

Social and Information Networks · Computer Science 2018-04-02 Md Shahzamal , Raja Jurdak , Bernard Mans , Ahmad El Shoghri , Frank De Hoog

Mathematical and computational modeling approaches are increasingly used as quantitative tools in the analysis and forecasting of infectious disease epidemics. The growing need for realism in addressing complex public health questions is…