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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

This paper revisits a longstanding problem of interest concerning the distributed control of an epidemic process on human contact networks. Due to the stochastic nature and combinatorial complexity of the problem, finding optimal policies…

最优化与控制 · 数学 2022-12-12 Mohammad Mubarak , Cameron Nowzari

We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered…

物理与社会 · 物理学 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

物理与社会 · 物理学 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

The contact process is an emblematic model of a non-equilibrium system, containing a phase transition between inactive and active dynamical regimes. In the epidemiological context, the model is known as the susceptible-infected-susceptible…

统计力学 · 物理学 2023-05-12 Wout Merbis , Clélia de Mulatier , Philippe Corboz

We investigate phase transitions associated with three control methods for epidemics on small world networks. Motivated by the behavior of SARS-CoV-2, we construct a theoretical SIR model of a virus that exhibits presymptomatic,…

物理与社会 · 物理学 2020-07-13 Benjamin Braun , Başak Taraktaş , Brian Beckage , Jane Molofsky

In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among…

物理与社会 · 物理学 2015-06-09 Martin Dottori , Gabriel Fabricius

A generalization of the standard susceptible-infectious-removed (SIR) stochastic model for epidemics in sparse random networks is introduced which incorporates contact tracing in addition to random screening. We propose a deterministic…

适应与自组织系统 · 物理学 2009-11-07 Ramon Huerta , Lev S. Tsimring

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

物理与社会 · 物理学 2020-09-08 Bnaya Gross , Shlomo Havlin

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

物理与社会 · 物理学 2021-02-03 Angélica S. Mata

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

动力系统 · 数学 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

物理与社会 · 物理学 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni

In this article, we present a modification to the network-based stochastic SEIR epidemic model which allows for modifications to the underlying contact network to account for the effects of quarantine. We also discuss the changes needed to…

种群与进化 · 定量生物学 2020-08-05 Chris Groendyke , Adam Combs

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

社会与信息网络 · 计算机科学 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

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 investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

社会与信息网络 · 计算机科学 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptible-infectious-removed (SIR) epidemic dynamics on a…

种群与进化 · 定量生物学 2013-09-30 Matthew Graham , Thomas House

We study the following model of disease spread in a social network. At first, all individuals are either infected or healthy. Next, in discrete rounds, the disease spreads in the network from infected to healthy individuals such that a…

计算复杂性 · 计算机科学 2024-09-04 Michal Dvořák , Dušan Knop , Šimon Schierreich

In this paper, we study the dynamics of epidemic processes taking place in adaptive networks of arbitrary topology. We focus our study on the adaptive susceptible-infected-susceptible (ASIS) model, where healthy individuals are allowed to…

社会与信息网络 · 计算机科学 2016-06-29 Masaki Ogura , Victor M. Preciado

We study the relative importance of two key control measures for epidemic spreading: endogenous social self-distancing and exogenous imposed quarantine. We use the framework of adaptive networks, moment-closure, and ordinary differential…

种群与进化 · 定量生物学 2020-10-22 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner