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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

We have performed individual-based lattice simulations of SIR and SEIR dynamics to investigate both the short and long-term dynamics of childhood epidemics. In our model, infection takes place through a combination of local and long-range…

种群与进化 · 定量生物学 2007-05-23 J. Verdasca

In this paper, we study the dynamics of the susceptible-infected-recovered (SIR) model on a network with community structure, namely the stochastic block model (SBM). As usual, the SIR model is a stochastic model for an epidemic where…

概率论 · 数学 2024-10-10 Christian Borgs , Karissa Huang , Christian Ikeokwu

In the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend to protect themselves by avoiding contacts with infections at…

物理与社会 · 物理学 2016-10-20 Xiao-Long Peng , Xin-Jian Xu , Michael Small , Xinchu Fu , Zhen Jin

In this paper we consider SIR epidemics on random graphs with clustering. To incorporate group structure of the underlying social network, we use a generalized version of the configuration model in which each node is a member of a specified…

概率论 · 数学 2018-02-15 Carolina Fransson , Pieter Trapman

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 spreading of cooperative infections in an empirical temporal network of contacts between people, including health care workers and patients, in a hospital. The system exhibits a phase transition leading to one or several…

物理与社会 · 物理学 2018-02-08 Jorge P. Rodríguez , Fakhteh Ghanbarnejad , Víctor M. Eguíluz

This work is concerned with epidemiological models defined on networks, which highlight the prominent role of the social contact network of a given population in the spread of infectious diseases. In particular, we address the modelling and…

数值分析 · 数学 2023-03-07 Giovanni Naldi , Giuseppe Patane'

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

种群与进化 · 定量生物学 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

A Markovian SIR (Susceptible-Infectious-Recovered) model is considered for the spread of an epidemic on a configuration model network, in which susceptible individuals may take preventive measures by dropping edges to infectious neighbours.…

概率论 · 数学 2019-01-23 Frank Ball , Tom Britton , Ka Yin Leung , David Sirl

We are facing a common serious issue, infectious diseases, and trying to suppress the spreading of infection. We need less contact with each other to decrease the chance of infection, but this means loss of economic activity, as well. This…

物理与社会 · 物理学 2020-05-15 Kenichi Nakazato , Masanori Takano

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

Most real networks are characterized by connectivity patterns that evolve in time following complex, non-Markovian, dynamics. Here we investigate the impact of this ubiquitous feature by studying the Susceptible-Infected-Recovered (SIR) and…

物理与社会 · 物理学 2016-01-20 Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

动力系统 · 数学 2021-07-26 Hannah Scanlon , John Gemmer

To contain the propagation of emerging diseases that are transmissible from human to human, non-pharmaceutical interventions (NPIs) aimed at reducing the interactions between humans are usually implemented. One example of the latter kind of…

物理与社会 · 物理学 2021-05-21 Paulo Cesar Ventura , Alberto Aleta , Francisco Aparecido Rodrigues , Yamir Moreno

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

种群与进化 · 定量生物学 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

We consider a SIR model with vaccination strategy on a sparse configuration model random graph. We show the convergence of the system when the number of nodes grows and characterize the scaling limits. Then, we prove the existence of…

We propose a novel SIR epidemic model which is driven by the transmission of infection packets in networks. Specifically, infected nodes generate and deliver infection packets causing the spread of the epidemic, while recovered nodes block…

物理与社会 · 物理学 2016-01-20 Cunlai Pu , Siyuan Li , Jian Yang

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

物理与社会 · 物理学 2021-03-16 Semra Gunduc

We study the spread of stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemics in two types of structured populations, both consisting of schools and households. In each of the types, every individual is part of one school…

物理与社会 · 物理学 2015-03-23 Tanneke Ouboter , Ronald Meester , Pieter Trapman