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We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that several features of invasion fronts in the PDE context are also relevant to the network case.…

Populations and Evolution · Quantitative Biology 2022-10-19 Ashley Armbruster , Matt Holzer , Noah Roselli , Lena Underwood

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

During an epidemic outbreak, individuals often modify their behavior in response to global prevalence cues, using spatially mediated adaptations such as reduced mobility or transmission range. In this work, we investigate the impact of…

Physics and Society · Physics 2026-03-18 Akhil Panicker , Sasidevan V

It is critical to understand and model the behavior of individuals in a pandemic, as well as identify effective ways to guide people's behavior in order to better control the epidemic spread. However, current research fails to account for…

Social and Information Networks · Computer Science 2023-09-01 Wenxiang Dong , H. Vicky Zhao

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Our recent experience with the COVID-19 pandemic amply shows that spatial effects like the mobility of agents and average interpersonal distance, together with the adaptation of agents, are very important in deciding the outcome of epidemic…

Physics and Society · Physics 2025-01-13 Akhil Panicker , V Sasidevan

Understanding the impact of collective social phenomena in epidemic dynamics is a crucial task to effectively contain the disease spread. In this work we build a mathematical description for assessing the interplay between opinion…

Physics and Society · Physics 2023-03-10 Mattia Zanella

Disease outbreaks force the governments to rapid decisions to deal with. However, the rapid stream of decision-making could be costly in terms of the democratic representativeness. The aim of the paper is to investigate the trade-off…

Physics and Society · Physics 2020-09-18 A. E. Biondo , G. Brosio , A. Pluchino , R. Zanola

Recently developed techniques to acquire high-quality human mobility data allow large-scale simulations of the spread of infectious diseases with high spatial and temporal resolution.Analysis of such data has revealed the oversimplification…

Physics and Society · Physics 2015-12-08 Naoya Fujiwara , Abhijeet R. Sonawane , Koji Iwayama , Kazuyuki Aihara

The COVID-19 pandemic has brought forth the importance of epidemic forecasting for decision makers in multiple domains, ranging from public health to the economy as a whole. While forecasting epidemic progression is frequently…

Machine Learning · Computer Science 2022-07-21 Alexander Rodríguez , Harshavardhan Kamarthi , Pulak Agarwal , Javen Ho , Mira Patel , Suchet Sapre , B. Aditya Prakash

In the early stage of epidemics, individuals' determination on adopting protective measures, which can reduce their risk of infection and suppress disease spreading, is likely to depend on multiple information sources and their mutual…

Physics and Society · Physics 2021-01-06 Jiaxing Chen , Ying Liu , Ming Tang , Jing Yue

Yet often neglected, dynamical interdependencies between concomitant contagion processes can alter their intrinsic equilibria and bifurcations. A particular case of interest for disease control is the emergence of explosive transitions in…

Physics and Society · Physics 2023-12-04 Santiago Lamata-Otín , Jesús Gómez-Gardeñes , David Soriano-Paños

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

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

During infectious disease epidemics, pathogen transmission occurs in host populations made up of interacting subpopulations. Using stochastic simulation and analytical approximations, we examine how outbreak sizes in networked populations…

Populations and Evolution · Quantitative Biology 2026-01-21 Makoto Ueki , Robin N. Thompson , Murad Banaji

In this paper, we focus on the influence of heterogeneity and stochasticity of the population on the dynamical structure of a basic susceptible-infected-susceptible (SIS) model. First we prove that, upon a suitable mathematical…

Dynamical Systems · Mathematics 2017-02-28 Andreas Widder , Christian Kuehn

This paper proposes an approach to mitigate epidemic spread in a population of strategic agents by encouraging safer behaviors through carefully designed rewards. These rewards, which adapt to the evolving state of the epidemic, are…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Shinkyu Park , Jair Certorio , Nuno C. Martins , Richard J. La

We create a network model to study the spread of an epidemic through physically proximate and accidental daily human contacts in a city, and simulate outcomes for two kinds of agents - poor and non-poor. Under non-intervention, peak…

Physics and Society · Physics 2021-01-27 Anand Sahasranaman , Henrik Jeldtoft Jensen