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While conventional graphs only characterize pairwise interactions, higher-order networks (hypergraph, simplicial complex) capture multi-body interactions, which is a potentially more suitable modeling framework for a complex real system.…

系统与控制 · 电气工程与系统科学 2023-10-10 Shaoxuan Cui , Fangzhou Liu , Hildeberto Jardón-Kojakhmetov , Ming Cao

We numerically study the dynamics of the SIR disease model on small-world networks by using a large-deviation approach. This allows us to obtain the probability density function of the total fraction of infected nodes and of the maximum…

物理与社会 · 物理学 2022-09-01 Yannick Feld , Alexander K. Hartmann

The calculation of the SIR distribution at the typical receiver (or, equivalently, the success probability of transmissions over the typical link) in Poisson bipolar and cellular networks with Rayleigh fading is relatively straightforward,…

信息论 · 计算机科学 2015-06-05 Martin Haenggi

In social networks, control of rumor spread is an active area of research. SIR model is generally used to study the rumor dynamics in network while considering the rumor as an epidemic. In disease spreading model, epidemic is controlled by…

社会与信息网络 · 计算机科学 2015-09-29 Anoop Mehta , Ruchir Gupta

We study the Suscectible-Infected-Recovered-Susceptible (SIRS) epidemic model on deterministic networks. For connected but otherwise general interaction patterns and heterogeneous recovery and loss-of-immunity rates, we identify a…

系统与控制 · 电气工程与系统科学 2026-04-24 Giulia Gatti , Giacomo Como

Information, ideas, and diseases, or more generally, contagions, spread over space and time through individual transmissions via social networks, as well as through external sources. A detailed picture of any diffusion process can be…

社会与信息网络 · 计算机科学 2021-02-08 Fangcao Xu , Bruce Desmarais , Donna Peuquet

In this work, we study the epidemic SIR model on a system which takes into consideration face-to-face interaction networks. This approach has been used as prototype to describe people interactions in different kinds of social organizations…

Epidemics have shaped human history, often with devastating consequences, motivating the development of mathematical models to understand and control their dynamics. Among the many aspects of epidemic behavior, the conditions that lead to…

种群与进化 · 定量生物学 2026-05-01 Germano Hartmann Brill , Pablo Enrique Jurado Silvestrin , Sebastian Gonçalves

To shed light on the disease localization phenomenon, we study a bursty susceptible-infected-susceptible (SIS) model and analyze the model under the mean-field approximation. In the bursty SIS model, the infected nodes infect all their…

物理与社会 · 物理学 2020-01-17 Qiang Liu , Piet Van Mieghem

The recent rapid growth of social media and online social networks (OSNs) has raised interesting questions about the spread of ideas and fads within our society. In the past year, several papers have drawn analogies between the rise and…

种群与进化 · 定量生物学 2016-08-30 Daniel Cooney , Francisco Prieto-Castrillo , Yaneer Bar-Yam

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 effect of heterogeneous temporal activations on epidemic spreading in temporal networks. We focus on the susceptible-infected-susceptible (SIS) model on activity-driven networks with burstiness. By using an activity-based…

物理与社会 · 物理学 2019-05-28 Marco Mancastroppa , Alessandro Vezzani , Miguel A. Muñoz , Raffaella Burioni

We consider populations with time-varying growth rates living in sinks. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populations are able to persist and grow exponentially when…

动力系统 · 数学 2024-02-21 Michel Benaim , Claude Lobry , Tewfik Sari , Edouard Strickler

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 on physical contact network will naturally introduce the human awareness information diffusion on virtual contact network, and the awareness diffusion will in turn depress the epidemic spreading, thus forming the…

社会与信息网络 · 计算机科学 2016-11-23 Bo Gao , Dawei Zhao

We study supercritical spatial SIR epidemics on $\mathbb{Z}^2\times \{1,2,\ldots, N\}$, where each site in $\mathbb{Z}^2$ represents a village and $N$ stands for the village size. We establish several key asymptotic results as $N\to\infty$.…

概率论 · 数学 2021-12-01 Xinghua Zheng , Qingsan Zhu

The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive…

系统与控制 · 电气工程与系统科学 2023-09-26 Sebin Gracy , Brian D. O. Anderson , Mengbin Ye , Cesar A. Uribe

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

物理与社会 · 物理学 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

We consider the problem of inferring the conditional independence graph (CIG) of a multivariate stationary dicrete-time Gaussian random process based on a finite length observation. Using information-theoretic methods, we derive a lower…

统计理论 · 数学 2014-03-06 Gabor Hannak , Alexander Jung , Norbert Goertz

We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immunity is fully restored upon boosting, the system can be…