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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

The last decade has seen the rise of immense online social networks (OSNs) such as MySpace and Facebook. In this paper we use epidemiological models to explain user adoption and abandonment of OSNs, where adoption is analogous to infection…

社会与信息网络 · 计算机科学 2014-01-20 John Cannarella , Joshua A. Spechler

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

统计力学 · 物理学 2009-11-07 M. E. J. Newman

In this paper, we introduce the SDIR (Susceptible-Delayable-Infected-Recovered) model, an extension of the classical SIR epidemic framework, to provide a more explicit characterization of user behavior in online social networks. The newly…

社会与信息网络 · 计算机科学 2025-12-04 Tran Van Khanh , Do Xuan Cho , Hoang Phi Dung

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

物理与社会 · 物理学 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

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

The SIR model is a three-compartment model of the time development of an epidemic. After normalizing the dependent variables, the model is a system of two non-linear differential equations for the susceptible proportion $S$ and the infected…

动力系统 · 数学 2021-04-27 William G. Faris

This work examines the discrete-time networked SIR (susceptible-infected-recovered) epidemic model, where the infection and recovery parameters may be time-varying. We provide a sufficient condition for the SIR model to converge to the set…

系统与控制 · 电气工程与系统科学 2021-03-01 Ciyuan Zhang , Humphrey Leung , Brooks Butler , Philip. E. Paré

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

动力系统 · 数学 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

物理与社会 · 物理学 2016-11-09 Helena Sofia Rodrigues

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

Motivated by our intention to use SIR-type epidemiological models in the context of dynamic networks as provided by large-scale highly interacting inhomogeneous human crowds, we investigate in this framework possibilities to reduce the…

统计力学 · 物理学 2021-03-16 Matteo Colangeli , Adrian Muntean

We introduce a digital twin of the classical compartmental SIR (Susceptible, Infected, Recovered) epidemic model and study the interrelation between the digital twin and the system. In doing so, we use Stieltjes derivatives to feed the data…

其他定量生物学 · 定量生物学 2021-05-06 Iván Area , F. J. Fernández , Juan J. Nieto , F. Adrián F. Tojo

In this paper, we present a susceptible-infected-recovered (SIR) model with individuals wearing facial masks and individuals who do not. The disease transmission rates, the recovering rates and the fraction of individuals who wear masks are…

物理与社会 · 物理学 2021-06-01 Duan-Shin Lee , Miao Zhu

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

社会与信息网络 · 计算机科学 2014-10-22 M. S. S. Khan

The S.I.R. model (Susceptible, Infected, Recovered or Died) was proposed by chemistry Willam Kermack (1927) and the mathematician G. Mc. Kendrick (1932). the model supposes to divide to the individuals of a population in three categories.…

适应与自组织系统 · 物理学 2007-05-23 Horacio Castellini , Lilia Romanelli

The ability to actually implement epidemic models is a crucial stake for public institutions, as they may be overtaken by the increasing complexity of current models and sometimes tend to revert to less elaborate models such as the SIR. In…

物理与社会 · 物理学 2023-12-19 Louis Bremaud , Olivier Giraud , Denis Ullmo

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

We investigate an epidemic model based on Bailey's continuous differential system. In the continuous time domain, we extend the classical model to time-dependent coefficients and present an alternative solution method to Gleissner's…

经典分析与常微分方程 · 数学 2019-01-01 Martin Bohner , Sabrina Streipert , Delfim F. M. Torres

A stochastic SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erd\H{o}s-R\'{e}nyi random graph but, during the course of the epidemic,…

概率论 · 数学 2020-08-17 Frank Ball , Tom Britton
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