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Recent studies in network science and control have shown a meaningful relationship between the epidemic processes (e.g., COVID-19 spread) and some network properties. This paper studies how such network properties, namely clustering…

Social and Information Networks · Computer Science 2023-03-17 Mohammadreza Doostmohammadian , Hamid R. Rabiee

One of the famous results of network science states that networks with heterogeneous connectivity are more susceptible to epidemic spreading than their more homogeneous counterparts. In particular, in networks of identical nodes it has been…

Physics and Society · Physics 2015-08-05 Hui Yang , Ming Tang , Thilo Gross

We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual…

Statistical Mechanics · Physics 2022-12-20 D. S. M. Alencar , T. F. A. Alves , F. W. S. Lima , G. A. Alves , A. Macedo-Filho , R. S. Ferreira

Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring…

Social and Information Networks · Computer Science 2015-06-23 Mostafa Salehi , Payam Siyari , Matteo Magnani , Danilo Montesi

We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the epidemic threshold may be trivial or not depending…

Probability · Mathematics 2011-07-11 Lorenzo Cecconi , Alberto Gandolfi

The question of how clustering (non-zero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent advances in modelling highly-clustered networks are employed…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson , Sergey Melnik , Adam Hackett

Many real-world networks exhibit scale-free feature, have a small diameter and a high clustering tendency. We have studied the properties of a growing network, which has all these features, in which an incoming node is connected to its…

Statistical Mechanics · Physics 2009-11-10 Parongama Sen , S. S. Manna

We develop a theory for the susceptible-infected-susceptible (SIS) epidemic model on networks that incorporate both network structure and dynamic correlations. This theory can account for the multistage onset of the epidemic phase in…

Physics and Society · Physics 2021-04-07 Chao-Ran Cai , Zhi-Xi Wu , Petter Holme

Disease and information spread over social and information networks. Understanding the spread phenomena in networks requires paying attention not only to the degree distribution but also to the degree correlation. However, it is considered…

Physics and Society · Physics 2023-11-22 Satoru Morita

Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions to SIS dynamics and contact tracing on more exotic networks…

Populations and Evolution · Quantitative Biology 2018-09-24 István Z. Kiss , Joel C. Miller , Péter L. Simon

In this paper, we investigate the epidemic spreading for SIR model in weighted scale-free networks with nonlinear infectivity, where the transmission rate in our analytical model is weighted. Concretely, we introduce the infectivity…

Populations and Evolution · Quantitative Biology 2009-03-06 Xiangwei Chu , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta

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…

Quantitative Methods · Quantitative Biology 2008-12-15 Joel C. Miller

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…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi Zhao

Many complex networks exhibit vulnerability to spreading of epidemics, and such vulnerability relates to the viral strain as well as to the network characteristics. For instance, the structure of the network plays an important role in…

Physics and Society · Physics 2015-03-14 Mina Youssef , Caterina Scoglio

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…

Quantitative Methods · Quantitative Biology 2010-06-07 Erik M Volz

Despite centuries of work on containment and mitigation strategies, infectious diseases are still a major problem facing humanity. This work is concerned with simulating heterogeneous contact structures and understanding how the structure…

Social and Information Networks · Computer Science 2024-02-07 Jan Kreischer , Adrian Iten , Astrid Jehoul

Epidemiological contact network models have emerged as an important tool in understanding and predicting the spread of infectious disease, due to their capacity to engage individual heterogeneity that may underlie essential dynamics of a…

Physics and Society · Physics 2019-10-28 Jack Leitch , Kathleen A. Alexander , Srijan Sengupta

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

Physics and Society · Physics 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira