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Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for…

Physics and Society · Physics 2016-12-21 Ernesto Estrada , Sandro Meloni , Matthew Sheerin , Yamir Moreno

Understanding how to effectively control an epidemic spreading on a network is a problem of paramount importance for the scientific community. The ongoing COVID-19 pandemic has highlighted the need for policies that mitigate the spread,…

Populations and Evolution · Quantitative Biology 2021-09-14 Carlo Cenedese , Lorenzo Zino , Michele Cucuzzella , Ming Cao

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

Social and Information Networks · Computer Science 2014-10-22 M. S. S. Khan

A probabilistic approach to the epidemic evolution on realistic social-contact networks allows for characteristic differences among subjects, including the individual number and structure of social contacts, and the heterogeneity of the…

Social and Information Networks · Computer Science 2022-02-11 Jan B. Broekaert , Davide La Torre , Faizal Hafiz

We study numerically the variability of the outbreak of diseases on complex networks. We use a SI model to simulate the disease spreading at short times, in homogeneous and in scale-free networks. In both cases, we study the effect of…

Statistical Mechanics · Physics 2007-05-23 Pascal Crépey , Fabián P. Alvarez , Marc Barthélemy

Populations are seldom completely isolated from their environment. Individuals in a particular geographic or social region may be considered a distinct network due to strong local ties, but will also interact with individuals in other…

Physics and Society · Physics 2012-03-30 M. Dickison , S. Havlin , H. E. Stanley

We introduce a fast simulation technique for modeling epidemics on adaptive networks. Our rejection-based algorithm efficiently simulates the co-evolution of the network structure and the epidemic dynamics. We extend the classical SIS model…

Social and Information Networks · Computer Science 2024-10-08 Gerrit Großmann , Sebastian Vollmer

We study the phase transition from the persistence phase to the extinction phase for the SIRS (susceptible/ infected/ refractory/ susceptible) model of diseases spreading on random networks. By studying temporal evolution and…

Physics and Society · Physics 2019-11-19 Mohammed Ali Saif

The epidemic curve and the final extent of the COVID-19 pandemic are usually predicted from the rate of early exponential raising using the SIR model. These predictions implicitly assume a full social mixing, which is not plausible…

Populations and Evolution · Quantitative Biology 2020-04-02 Gyula M. Szabó

We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all…

Probability · Mathematics 2015-12-03 Emmanuel Jacob , Peter Mörters

It is a longstanding debate on the absence of threshold for susceptible-infected-susceptible (SIS) model on networks with finite second order moment of degree distribution. The eigenvector localization of the adjacency matrix for a network…

Physics and Society · Physics 2020-05-20 Zong-Wen Wei , Bing-Hong Wang

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

We study numerically statistical properties and dynamical disease propagation using a percolation model on a one dimensional small world network. The parameters chosen correspond to a realistic network of school age children. We found that…

Disordered Systems and Neural Networks · Physics 2009-11-07 Nouredine Zekri , Jean-Pierre Clerc

Epidemic propagation on complex networks has been widely investigated, mostly with invariant parameters. However, the process of epidemic propagation is not always constant. Epidemics can be affected by various perturbations, and may bounce…

Physics and Society · Physics 2017-09-13 Dan Lu , Shunkun Yang , Jiaquan Zhang , Huijuan Wang , Daqing Li

The frequent emergence of diseases with the potential to become threats at local and global scales, such as influenza A(H1N1), SARS, MERS, and recently COVID-19 disease, makes it crucial to keep designing models of disease propagation and…

Physics and Society · Physics 2020-08-27 I. A. Perez , M. A. Di Muro , C. E. La Rocca , L. A. Braunstein

It is in practice impossible to describe the topology of a real network or its message propagation process using a single dynamic model. To address this issue, we constructed a new hybrid network model based on scale-free (SF), small-world…

Social and Information Networks · Computer Science 2021-06-01 Fuzhong Nian , Hongyuan Diao

We present a study of information flow that takes into account the observation that an item relevant to one person is more likely to be of interest to individuals in the same social circle than those outside of it. This is due to the fact…

Statistical Mechanics · Physics 2009-11-10 Fang Wu , Bernardo A. Huberman , Lada A. Adamic , Joshua Tyler

In this letter, we investigate the detailed epidemic spreading process in scale-free networks with links' weights that denote familiarity between two individuals and find that spreading velocity reaches a peak quickly then decays in a…

Statistical Mechanics · Physics 2009-11-10 Gang Yan , Tao Zhou , Jie Wang , Zhong-Qian Fu , Bing-Hong Wang

Computer viruses are evolving by developing spreading mechanisms based on the use of multiple vectors of propagation. The use of the social network as an extra vector of attack to penetrate the security measures in IP networks is improving…

Physics and Society · Physics 2014-11-13 Rafael Vida , Javier Galeano , Sara Cuenda