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One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

物理与社会 · 物理学 2013-07-23 Wojciech Ganczarek

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…

物理与社会 · 物理学 2016-07-19 Vikram Sagar , Yi Zhao

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

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

The epidemic threshold of a spreading process indicates the condition for the occurrence of the wide spreading regime, thus representing a predictor of the network vulnerability to the epidemic. Such threshold depends on the natural history…

物理与社会 · 物理学 2016-01-20 Eugenio Valdano , Chiara Poletto , Vittoria Colizza

We show that the recently introduced logarithmic metrics used to predict disease arrival times on complex networks are approximations of more general network-based measures derived from random walks theory. Using the daily air-traffic…

物理与社会 · 物理学 2017-01-18 Flavio Iannelli , Andreas Koher , Dirk Brockmann , Philipp Hoevel , Igor M. Sokolov

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…

物理与社会 · 物理学 2017-09-13 Dan Lu , Shunkun Yang , Jiaquan Zhang , Huijuan Wang , Daqing Li

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

种群与进化 · 定量生物学 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

偏微分方程分析 · 数学 2023-06-28 Christoph Walker

We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the network degree fluctuations, signaling that epidemics spread…

无序系统与神经网络 · 物理学 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

物理与社会 · 物理学 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

Epidemics are emergent phenomena depending on the epidemiological characteristics of pathogens and the interaction and movement of people. Public transit systems have provided much important information about the movement of people, but…

社会与信息网络 · 计算机科学 2018-09-24 Zhanwei Du , Chao Gao , Yuan Bai , Yongjian Yang , Petter Holme

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…

统计力学 · 物理学 2007-05-23 Pascal Crépey , Fabián P. Alvarez , Marc Barthélemy

For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the…

物理与社会 · 物理学 2019-04-10 Mi Jin Lee , Deok-Sun Lee

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

生物物理 · 物理学 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

动力系统 · 数学 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

物理与社会 · 物理学 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we…

物理与社会 · 物理学 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra

We study the problem of estimating the origin of an epidemic outbreak -- given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. Finding the source is important in different contexts of…

物理与社会 · 物理学 2014-11-20 Andrey Y. Lokhov , Marc Mézard , Hiroki Ohta , Lenka Zdeborová

In the past few decades, the frequency of pandemics has been increased due to the growth of urbanization and mobility among countries. Since a disease spreading in one country could become a pandemic with a potential worldwide humanitarian…

物理与社会 · 物理学 2020-04-01 L. D. Valdez , L. A. Braunstein , S. Havlin