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One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

Networks have become an important tool for infectious disease epidemiology. Most previous theoretical studies of transmission network models have either considered simple Markovian dynamics at the individual level, or have focused on the…

种群与进化 · 定量生物学 2015-04-21 Lorenzo Pellis , Simon E. F. Spencer , Thomas House

We investigate the effects of heterogeneous and clustered contact patterns on the timescale and final size of infectious disease epidemics. The abundance of transitive relationships (the number of 3 cliques) in a network and the variance of…

定量方法 · 定量生物学 2010-06-07 Erik M Volz

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

物理与社会 · 物理学 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

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…

种群与进化 · 定量生物学 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

最优化与控制 · 数学 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

Human mobility, contact patterns, and their interplay are key aspects of our social behavior that shape the spread of infectious diseases across different regions. In the light of new evidence and data sets about these two elements,…

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Temporal networks, whose links are activated or deactivated over time, are used to represent complex systems such as social interactions or collaborations occurring at specific times. Such networks facilitate the spread of information and…

社会与信息网络 · 计算机科学 2025-02-27 Tianrui Mao , Shilun Zhang , Alan Hanjalic , Huijuan Wang

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

物理与社会 · 物理学 2016-07-19 Vikram Sagar , Yi Zhao

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…

Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from that of epidemic propagation. In realistic scenarios,…

物理与社会 · 物理学 2024-05-16 Chao-Ran Cai , Yuan-Yuan Nie , Petter Holme

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

定量方法 · 定量生物学 2008-12-15 Joel C. Miller

The spread of disease on complex networks has attracted widely attention in the physics community. Recent works have demonstrated that heterogeneous degree and weight distributions have a significant influence on the epidemic dynamics. In…

物理与社会 · 物理学 2015-06-22 Wei Wang , Ming Tang , Hai-Feng Zhang , Hui Gao , Younghae Do , Zong-Hua Liu

Connectivity patterns in intermittently-connected mobile networks (ICMN) can be modeled as edge-Markovian dynamic graphs. We propose a new model for epidemic propagation on such graphs and calculate a closed-form expression that links the…

网络与互联网体系结构 · 计算机科学 2016-11-17 John Whitbeck , Vania Conan , Marcelo Dias de Amorim

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…

物理与社会 · 物理学 2013-09-26 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

社会与信息网络 · 计算机科学 2021-02-10 Xinzhe Zuo , Mason A Porter

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

适应与自组织系统 · 物理学 2012-10-10 Petter Holme , Jari Saramäki

Most real networks are characterized by connectivity patterns that evolve in time following complex, non-Markovian, dynamics. Here we investigate the impact of this ubiquitous feature by studying the Susceptible-Infected-Recovered (SIR) and…

物理与社会 · 物理学 2016-01-20 Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

The duration of the infectious period is a crucial determinant of the ability of an infectious disease to spread. We consider an epidemic model that is network based and non-Markovian, containing classic Kermack-McKendrick, pairwise,…

种群与进化 · 定量生物学 2018-05-25 Robert R. Wilkinson , Kieran J. Sharkey