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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…

Online Social Networks (OSN) during last years acquired a huge and increasing popularity as one of the most important emerging Web phenomena, deeply modifying the behavior of users and contributing to build a solid substrate of connections…

社会与信息网络 · 计算机科学 2011-06-03 Salvatore Catanese , Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara

We study extensions of the classical SIR model of epidemic spread. First, we consider a single population modified SIR epidemics model in which the contact rate is allowed to be an arbitrary function of the fraction of susceptible and…

动力系统 · 数学 2021-12-17 Martina Alutto , Giacomo Como , Fabio Fagnani

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

We examine the age-structured SIR model, a variant of the classical Susceptible-Infected-Recovered (SIR) model of epidemic propagation, in the context of COVID-19. In doing so, we provide a theoretical basis for the model, perform an…

最优化与控制 · 数学 2022-03-11 Rohit Parasnis , Ryosuke Kato , Amol Sakhale , Massimo Franceschetti , Behrouz Touri

In this paper, we focus on the node-based epidemic modeling for networks, introduce the propagation medium and propose a node-based Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model with infective media. Theoretical…

物理与社会 · 物理学 2019-01-03 Leyi Zheng , Longkun Tang

We introduce a fast simulation technique for modeling epidemics on adaptive networks. Our rejection-based algorithm efficiently simulates the co-evolution of the network structure and the epidemic dynamics. We extend the classical SIS model…

社会与信息网络 · 计算机科学 2024-10-08 Gerrit Großmann , Sebastian Vollmer

Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using…

定量方法 · 定量生物学 2023-02-07 István Z. Kiss , Luc Berthouze , Wasiur R. KhudaBukhsh

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…

物理与社会 · 物理学 2014-07-04 Abdul Khaleque , Parongama Sen

News spread in internet media outlets can be seen as a contagious process generating temporal networks representing the influence between published articles. In this article we propose a methodology based on the application of natural…

社会与信息网络 · 计算机科学 2017-01-30 Elisa Mussumeci , Flávio Codeço Coelho

Epidemic models and self-exciting processes are two types of models used to describe diffusion phenomena online and offline. These models were originally developed in different scientific communities, and their commonalities are…

社会与信息网络 · 计算机科学 2020-01-28 Quyu Kong , Marian-Andrei Rizoiu , Lexing Xie

We study a symmetric two-disease SIR co-infection model on networks in which co-infected individuals recover at a rate distinct from that of single infections. The model explicitly represents all co-infection states and features absorbing…

Effective disaster response is critical for affected communities. Responders and decision-makers would benefit from reliable, timely measures of the issues impacting their communities during a disaster, and social media offers a potentially…

社会与信息网络 · 计算机科学 2024-01-11 Zihui Ma , Lingyao Li , Libby Hemphill , Gregory B. Baecher , Yubai Yuan

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

物理与社会 · 物理学 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

The Susceptible-Infectious-Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure's…

物理与社会 · 物理学 2021-06-09 Petter Holme

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

物理与社会 · 物理学 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

Individual contributions to the spread of an epidemic vary widely due to an individual's location in a social network and their intrinsic ability to spread or contract diseases. While the effect of heterogeneous population structure and…

种群与进化 · 定量生物学 2026-05-14 Abhay Gupta , Nicholas W. Landry

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

社会与信息网络 · 计算机科学 2017-07-28 Rehan Ahmad , Kevin S. Xu

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence each other bidirectionally. In particular, edges appear and…

Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data is only available at population-level (i.e. the number of…

种群与进化 · 定量生物学 2019-12-05 F. Di Lauro , J. -C. Croix , M. Dashti , L. Berthouze , I. Z. Kiss