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Related papers: Thresholds for epidemic spreading in networks

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To study the influence of the moving front of the infected interval and the spatial movement of individuals on the spreading or vanishing of infectious disease, we consider a nonlocal SIS (susceptible-infected-susceptible)…

Analysis of PDEs · Mathematics 2023-01-31 Yachun Tong , Inkyung Ahn , Zhigui Lin

Discrete- and continuous-time approaches are frequently used to model the role of heterogeneity on dynamical interacting agents on the top of complex networks. While, on the one hand, one does not expect drastic differences between these…

Physics and Society · Physics 2024-02-16 Diogo H. Silva , Francisco A. Rodrigues , Silvio C. Ferreira

Researchers have developed several theoretical methods for predicting epidemic thresholds, including the mean-field like (MFL) method, the quenched mean-field (QMF) method, and the dynamical message passing (DMP) method. When these methods…

Physics and Society · Physics 2016-04-26 Wei Wang , Quan-Hui Liu , Lin-Feng Zhong , Ming Tang , Hui Gao , H. Eugene Stanley

The Susceptible-Infected-Susceptible (SIS) model is one of the simplest memoryless system for describing information/epidemic spreading phenomena with competing creation and spontaneous annihilation reactions. The effect of quenched…

Physics and Society · Physics 2013-09-10 Géza Ódor

We consider the Susceptible-Infected-Recovered (SIR) epidemic model on a Euclidean network in one dimension in which nodes at a distance $l$ are connected with probability $P(l) \propto l^{-\delta}$ in addition to nearest neighbors. The…

Physics and Society · Physics 2014-07-04 Abdul Khaleque , Parongama Sen

We study the influence of global, local and community-level risk perception on the extinction probability of a disease in several models of social networks. In particular, we study the infection progression as a…

Physics and Society · Physics 2012-12-05 Franco Bagnoli , Daniel Borkmann , Andrea Guazzini , Emanuele Massaro , Stefan Rudolph

We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity pattern. In SIR-like processes, along with the standard local epidemic threshold, the system exhibits a global…

Physics and Society · Physics 2009-11-13 Vittoria Colizza , Alessandro Vespignani

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…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

Epidemic spreading and cascading failure are two important dynamical processes over complex networks. They have been investigated separately for a long history. But in the real world, these two dynamics sometimes may interact with each…

Physics and Society · Physics 2015-06-19 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu

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…

Social and Information Networks · Computer Science 2014-03-28 Vadim Alexeev , Liudmila Rozanova , Alexander Temerev

In contrast to the conventional wisdom that scale-free networks are prone to epidemic propagation, in the paper we present that disease spreading is inhibited in fractal scale-free networks. We first propose a novel network model and show…

Populations and Evolution · Quantitative Biology 2008-09-25 Zhongzhi Zhang , Shuigeng Zhou , Zou Tao , Guisheng Chen

We study the absorbing phase transition for the model of epidemic spreading, Susceptible- Infected- Refractory (SIR), on one dimensional small world networks. This model has been found to be in the universality class of the dynamical…

Statistical Mechanics · Physics 2023-01-05 M. Ali Saif , M. A. Shukri , F. H. Al-makhedhi

Pandemic distribution of COVID-19 in the world has motivated us to discuss combined effects of network clustering and adaptivity on epidemic spreading. We address the question concerning the choice of optimal mechanism for most effective…

Physics and Society · Physics 2020-07-15 O. Valba , V. Avetisov , A. Gorsky , S. Nechaev

To provide a comprehensive view for dynamics of and on many real-world temporal networks, we investigate the interplay of temporal connectivity patterns and spreading phenomena, in terms of the susceptible-infected-removed (SIR) model on…

Physics and Society · Physics 2019-07-23 Hyewon Kim , Meesoon Ha , Hawoong Jeong

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 small world network. We show the effects of all the parameters…

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

Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs.…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

In this chapter we want to provide a review of the main results obtained in the modeling of epidemic spreading in scale-free networks. In particular, we want to show the different epidemiological framework originated by the lack of any…

Statistical Mechanics · Physics 2007-05-23 Romualdo Pastor-Satorras , Alessandro Vespignani

We investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

The spreading of an infectious disease can trigger human behavior responses to the disease, which in turn plays a crucial role on the spreading of epidemic. In this study, to illustrate the impacts of the human behavioral responses, a new…

Physics and Society · Physics 2015-09-30 Can Liu , Jia-Rong Xie , Han-Shuang Chen , Hai-Feng Zhang , Ming Tang

We study the traffic-driven epidemic spreading on scale-free networks with tunable degree distribution. The heterogeneity of networks is controlled by the exponent $\gamma$ of power-law degree distribution. It is found that the epidemic…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Bing-Hong Wang