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In this article, we proposed a susceptible-infected model with identical infectivity, in which, at every time step, each node can only contact a constant number of neighbors. We implemented this model on scale-free networks, and found that…

生物物理 · 物理学 2007-05-23 Tao Zhou , Jian-Guo Liu , Wen-Jie Bai , Guanrong Chen , Bing-Hong Wang

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

In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

社会与信息网络 · 计算机科学 2021-08-11 Qinyi Chen , Mason A. Porter

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

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…

We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law…

无序系统与神经网络 · 物理学 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

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

In this paper, we aim to understand the transient dynamics of a susceptible-infected (SI) epidemic spreading process on a large network. The SI model has been largely overlooked in the literature, while it is naturally a better fit for…

社会与信息网络 · 计算机科学 2019-05-21 Chul-Ho Lee , Srinivas Tenneti , Do Young Eun

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

The spread of an infection on a real-world social network is determined by the interplay of two processes: the dynamics of the network, whose structure changes over time according to the encounters between individuals, and the dynamics on…

物理与社会 · 物理学 2015-10-28 Lorenzo Coviello , Massimo Franceschetti , Manuel Garcia-Herranz , Iyad Rahwan

This study develops the epidemic hitting time (EHT) metric on graphs measuring the expected time an epidemic starting at node $a$ in a fully susceptible network takes to propagate and reach node $b$. An associated EHT centrality measure is…

物理与社会 · 物理学 2015-12-02 Max Goering , Faryad Darabi Sahneh , Nathan Albin , Caterina Scoglio , Pietro Poggi-Corradini

The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

种群与进化 · 定量生物学 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

种群与进化 · 定量生物学 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

We study a PDE model for dynamics of susceptible-infected interactions. The dispersal of susceptibles is via diffusion and repellent taxis as they move away from the increasing density of infected. The diffusion of infected is a nonlinear,…

偏微分方程分析 · 数学 2019-02-07 Chiganga Samson Ruoja , Christina Surulescu , Anna Zhigun

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

物理与社会 · 物理学 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

物理与社会 · 物理学 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes

The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick. Its usefulness derives largely from its conceptual and mathematical…

种群与进化 · 定量生物学 2015-09-03 Joel C. Miller , Anja C. Slim , Erik M. Volz

In the last decades, many authors have used the susceptible-infected-recovered model to study the impact of the disease spreading on the evolution of the infected individuals. However, few authors focused on the temporal unfolding of the…

物理与社会 · 物理学 2013-07-03 L. D. Valdez , P. A. Macri , L. A. Braunstein

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must…

物理与社会 · 物理学 2018-02-14 Xiaolong Chen , Ruijie Wang , Ming Tang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

物理与社会 · 物理学 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni