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To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

Metapopulation models have been a powerful tool for both theorizing and simulating epidemic dynamics. In a metapopulation model, one considers a network composed of subpopulations and their pairwise connections, and individuals are assumed…

Physics and Society · Physics 2021-12-28 Lingqi Meng , Naoki Masuda

Understanding how human mobility and information propagation influence the course of an epidemic remains a key challenge in digital epidemiology. In this work, we develop a new awareness-based, event-triggered epidemic model embedded within…

Physics and Society · Physics 2026-05-06 Yusheng Li , Minyu Feng , Liang-jian Deng , Matjaž Perc , Jürgen Kurths

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

Populations and Evolution · Quantitative Biology 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz , Lauren Ancel Meyers

We calculate epidemic thresholds and investigate the dynamics of a disease in a networked metapopulation model. To study the specific role of mobility levels and network geometry, we utilize the SIR-Network model and consider a range of…

Physics and Society · Physics 2023-08-07 Haridas K. Das , Lucas M. Stolerman

Daily variation in human mobility modulates the speed and severity of emerging outbreaks, yet most epidemiological studies assume static contact patterns. With a highly mobile population exceeding 24 million people, Shanghai, China is a…

Social and Information Networks · Computer Science 2018-09-17 Zhanwei Du , Spencer J Fox , Petter Holme , Jiming Liu , Alison P. Galvani , Lauren Ancel Meyers

The dynamics of infectious diseases propagating in populations depends both on human interaction patterns, the contagion process and the pathogenesis within hosts. The immune system follows a circadian rhythm and, consequently, the chance…

Populations and Evolution · Quantitative Biology 2020-07-01 Zhanwei Du , Petter Holme

The rapid spread of COVID-19 in the United States has imposed a major threat to public health, the real economy, and human well-being. With the absence of effective vaccines, the preventive actions of social distancing and travel reduction…

Physics and Society · Physics 2020-06-02 Chao Fan , Sanghyeon Lee , Yang Yang , Bora Oztekin , Qingchun Li , Ali Mostafavi

In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role…

Populations and Evolution · Quantitative Biology 2023-09-11 Giacomo Albi , Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

In this paper we analyze the effects of commuting and social inequalities for the epidemic development of the novel coronavirus (COVID-19). With this aim we consider a SEIRD (susceptible, exposed, infected, recovered and dead by disease)…

Populations and Evolution · Quantitative Biology 2020-08-18 João A. M. Gondim , Thiago Yukio Tanaka

We introduce a theoretical framework that highlights the impact of physical distancing variables such as human mobility and physical proximity on the evolution of epidemics and, crucially, on the reproduction number. In particular, in…

Physics and Society · Physics 2022-01-31 Fabio Vanni , David Lambert , Luigi Palatella

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

Populations and Evolution · Quantitative Biology 2026-01-27 Ari S. Freedman , Bjarke F. Nielsen , Maximillian M. Nguyen , Laurent Hébert-Dufresne , Simon A. Levin

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

The ongoing coronavirus disease 2019 (COVID-19) pandemic has wreaked havoc worldwide with millions of lives claimed, human travel restricted and economic development halted. Leveraging city-level mobility and case data, our analysis shows…

Physics and Society · Physics 2022-06-29 Yafei Zhang , Lin Wang , Jonathan J. H. Zhu , Xiaofan Wang

The novel coronavirus SARS-CoV-2, commonly referred to as COVID-19, triggered the global pandemic. Although the nature of the international spread of infection is an important issue, extracting diffusion networks from observations is…

Social and Information Networks · Computer Science 2024-01-12 Hiroyasu Inoue , Wataru Souma , Yoshi Fujiwara

In this paper, we propose a mathematical framework that governs the evolution of epidemic dynamics, encompassing both intra-population dynamics and inter-population mobility within a metapopulation network. By linearizing this dynamical…

Physics and Society · Physics 2025-05-05 Yazdan Babazadeh , Amin Safaeesirat , Fakhteh Ghanbarnejad

Understanding how interurban movements can modify the spatial distribution of the population is important for transport planning but is also a fundamental ingredient for epidemic modeling. We focus here on vacation trips (for all…

Physics and Society · Physics 2020-03-17 Jiachen Ye , Qitong Hu , Peng Ji , Marc Barthelemy

Understanding and predicting outbreaks of contagious diseases are crucial to the development of society and public health, especially for underdeveloped countries. However, challenging problems are encountered because of complex epidemic…

Populations and Evolution · Quantitative Biology 2022-02-15 Ruiqi Li , Wenxu Wang , Zengru Di

Host mobility plays a fundamental role in the spatial spread of infectious diseases. Previous theoretical works based on the integration of network theory into the metapopulation framework have shown that the heterogeneities that…

Physics and Society · Physics 2013-09-26 Chiara Poletto , Michele Tizzoni , Vittoria Colizza