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The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

统计力学 · 物理学 2009-11-07 M. E. J. Newman

We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. The resulting models display epidemic behavior…

统计力学 · 物理学 2009-10-31 Cristopher Moore , M. E. J. Newman

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

物理与社会 · 物理学 2018-05-09 Clara Granell , Peter J. Mucha

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

种群与进化 · 定量生物学 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact…

动力系统 · 数学 2016-10-31 Ágnes Bodó , Gyula Y. Katona , Péter L. Simon

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

种群与进化 · 定量生物学 2010-11-25 Christel Kamp

Epidemic spreading phenomena are ubiquitous in nature and society. Examples include the spreading of diseases, information, and computer viruses. Epidemics can spread by local spreading, where infected nodes can only infect a limited set of…

物理与社会 · 物理学 2024-01-02 Changwang Zhang , Shi Zhou , Joel C. Miller , Ingemar J. Cox , Benjamin M. Chain

A social (sexual) network is modeled by an extension of the configuration model to the situation where edges have weights, e.g. reflecting the number of sex-contacts between the individuals. An epidemic model is defined on the network such…

概率论 · 数学 2011-12-21 Tom Britton , David Lindenstrand

We review the behavior of epidemic spreading on complex networks in which there are explicit correlations among the degrees of connected vertices.

统计力学 · 物理学 2015-06-24 Marian Boguna , Romualdo Pastor-Satorras , Alessandro Vespignani

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

物理与社会 · 物理学 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national level. However, the epidemic models…

应用统计 · 统计学 2014-11-18 Le Bao , Mary Mahy , Xiaoyue Niu , Tim Brown , Peter Ghys

We examine how the behaviour of high degree vertices in a network affects whether an infection spreads through communities or jumps between them. We study two stochastic susceptible-infected-recovered (SIR) processes and represent our…

社会与信息网络 · 计算机科学 2019-03-04 Joshua Feldman , Jeannette Janssen

In this paper we investigate a susceptible-infected-susceptible (SIS) epidemic model describing data dissemination in opportunistic networks with heterogeneous setting of transmission parameters. We obtained the estimation of the final…

社会与信息网络 · 计算机科学 2014-03-28 Vadim Alexeev , Liudmila Rozanova , Alexander Temerev

Bipartite networks are composed of two types of nodes and there are no links between nodes of the same type. Thus the study of epidemic spread and control on such networks is relevant to sexually transmitted diseases (STDs). When entire…

物理与社会 · 物理学 2011-05-18 Shinji Tanimoto

Epidemic spreading is well understood when a disease propagates around a contact graph. In a stochastic susceptible-infected-susceptible setting, spectral conditions characterise whether the disease vanishes. However, modelling human…

社会与信息网络 · 计算机科学 2021-09-15 Desmond John Higham , Henry-Louis de Kergorlay

This paper describes a novel approach to modeling homphily, i.e. the tendency of nodes that share (or differ in) certain attributes to be linked; we consider dynamic networks in which nodes can be added over time but not removed. Our…

基因组学 · 定量生物学 2022-01-13 V. DeGruttola , M. Nakazawa , J. Liu , X. Tu , S. Little , S. Mehta

An increasing amount of geo-referenced mobile phone data enables the identification of behavioral patterns, habits and movements of people. With this data, we can extract the knowledge potentially useful for many applications including the…

应用统计 · 统计学 2015-03-24 Sanja Brdar , Katarina Gavric , Dubravko Culibrk , Vladimir Crnojevic

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

物理与社会 · 物理学 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

The initial phase of an epidemic is often characterized by an exponential increase in the number of infected individuals. In this paper, we predict the exponential spreading rate of an epidemic on a complex network. We first find an…

物理与社会 · 物理学 2025-04-21 Samuel Cure , Florian G. Pflug , Simone Pigolotti

This letter investigates the multiple routes transmitted epidemic process on multiplex networks. We propose detailed theoretical analysis that allows us to accurately calculate the epidemic threshold and outbreak size. It is found that the…

社会与信息网络 · 计算机科学 2015-06-18 Dawei Zhao , Lixiang Li , Haipeng Peng , Qun Luo , Yixian Yang