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The spreading of infectious diseases with and without immunization of individuals can be modeled by stochastic processes that exhibit a transition between an active phase of epidemic spreading and an absorbing phase, where the disease dies…

统计力学 · 物理学 2009-11-10 Stephan M. Dammer , Haye Hinrichsen

Power-law behaviors are common in many disciplines, especially in network science. Real-world networks, like disease spreading among people, are more likely to be interconnected communities, and show richer power-law behaviors than isolated…

物理与社会 · 物理学 2020-09-30 Jing Ma , Lucas D. Valdez , Lidia A. Braunstein

We study the susceptible-infective-recovered (SIR) epidemic on a random graph chosen uniformly subject to having given vertex degrees. In this model infective vertices infect each of their susceptible neighbours, and recover, at a constant…

概率论 · 数学 2014-09-24 Svante Janson , Malwina Luczak , Peter Windridge

Understanding individual decisions in a world where communications and information move instantly via cell phones and the internet, contributes to the development and implementation of policies aimed at stopping or ameliorating the spread…

物理与社会 · 物理学 2020-03-31 Asma Azizi , Cesar Montalvo , Baltazar Espinoza , Yun Kang , Carlos Castillo-Chavez

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

种群与进化 · 定量生物学 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

Weight distribution largely impacts the epidemic spreading taking place on top of networks. This paper studies a susceptible-infected-susceptible model on regular random networks with different kinds of weight distributions. Simulation…

物理与社会 · 物理学 2012-07-16 Zimo Yang , Tao Zhou

We explore the emergence of persistent infection in a patch of population, where the disease progression of the individuals is given by the SIRS model and an individual becomes infected on contact with another infected individual. We…

种群与进化 · 定量生物学 2018-05-08 Vidit Agrawal , Promit Moitra , Sudeshna Sinha

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

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

种群与进化 · 定量生物学 2025-01-14 Yutaka Okabe , Akira Shudo

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

种群与进化 · 定量生物学 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

The interplay of biological, social, structural and random factors makes disease forecasting extraordinarily complex. The course of an epidemic exhibits average growth dynamics determined by features of the pathogen and the population, yet…

种群与进化 · 定量生物学 2022-02-24 Andrea J. Allen , Mariah C. Boudreau , Nicholas J. Roberts , Antoine Allard , Laurent Hébert-Dufresne

When nodes can repeatedly update their behavior (as in agent-based models from computational social science or repeated-game play settings) the problem of optimal network seeding becomes very complex. For a popular spreading-phenomena model…

社会与信息网络 · 计算机科学 2023-06-22 Gwen Spencer

We study the $r$-complex contagion influence maximization problem. In the influence maximization problem, one chooses a fixed number of initial seeds in a social network to maximize the spread of their influence. In the $r$-complex…

社会与信息网络 · 计算机科学 2022-06-15 Grant Schoenebeck , Biaoshuai Tao , Fang-Yi Yu

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

In this paper, I study epidemic diffusion in a generalized spatial SEIRD model, where individuals are initially connected in a social or geographical network. As the virus spreads in the network, the structure of interactions between people…

物理与社会 · 物理学 2020-10-23 Giorgio Fagiolo

Infectious diseases are studied to understand their spreading mechanisms, to evaluate control strategies and to predict the risk and course of future outbreaks. Because people only interact with a small number of individuals, and because…

应用统计 · 统计学 2018-09-05 Ritabrata Dutta , Antonietta Mira , Jukka-Pekka Onnela

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

种群与进化 · 定量生物学 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

无序系统与神经网络 · 物理学 2007-05-23 Naoki Masuda , Norio Konno

We consider a stochastic sandpile where the sand-grains of unstable sites are randomly distributed to the nearest neighbors. Increasing the value of the threshold condition the stochastic character of the distribution is lost and a…

统计力学 · 物理学 2009-10-31 S. Lubeck

We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Alexei Vazquez