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In this work, we inspect the reliability of controlling and quelling an epidemic disease mimicked by a Susceptible-Infected-Susceptible (SIS) model defined on a complex network by means of current and implementable quarantine and isolation…

Populations and Evolution · Quantitative Biology 2012-06-12 Nuno Crokidakis , Silvio M. Duarte Queiros

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

We investigate the evolution of epidemics over dynamical networks when nodes choose to interact with others in a selfish and decentralized manner. Specifically, we analyze the susceptible-asymptomatic-infected-recovered (SAIR) epidemic in…

Physics and Society · Physics 2021-09-28 Ashish R. Hota , Tanya Sneh , Kavish Gupta

We propose a simple SIR model in order to investigate the impact of various confinement strategies on a most virulent epidemic. Our approach is motivated by the current COVID-19 pandemic. The main hypothesis is the existence of two…

Populations and Evolution · Quantitative Biology 2020-12-30 G. Nakamura , B. Grammaticos , M. Badoual

Studies on how to model the interplay between diseases and behavioral responses (so-called coupled disease-behavior interaction) have attracted increasing attention. Owing to the lack of obvious clinical evidence of diseases, or the…

Physics and Society · Physics 2016-08-24 Hai-Feng Zhang , Jia-Rong Xie , Han-Shuang Chen , Can Liu , Michael Small

The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated either static or time-varying, supposing the whole network is observed in a same time…

Physics and Society · Physics 2016-03-23 Yanjun Lei , Xin Jiang , Quantong Guo , Yifang Ma , Meng Li , Zhiming Zheng

Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from that of epidemic propagation. In realistic scenarios,…

Physics and Society · Physics 2024-05-16 Chao-Ran Cai , Yuan-Yuan Nie , Petter Holme

We study the effect of external infection sources on phase transitions in epidemic processes. In particular, we consider an epidemic spreading on a network via the SIS/SIR dynamics, which in addition is aided by external agents - sources…

Social and Information Networks · Computer Science 2013-12-05 Siddhartha Banerjee , Avhishek Chatterjee , Sanjay Shakkottai

The Susceptible-Infected-Recovered (SIR) model has successfully mimicked the propagation of such airborne diseases as influenza A (H1N1). Although the SIR model has recently been studied in a multilayer networks configuration, in almost all…

Physics and Society · Physics 2015-07-16 L. G. Alvarez Zuzek , H. E. Stanley , L. A. Braunstein

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…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

As the world grows increasingly connected, infectious disease transmission and outbreaks have become a pressing global concern for public health officials and policymakers. While policy interventions to contain and prevent the spread of…

Probability · Mathematics 2026-05-07 Christian Borgs , Karissa Huang , Geng Zhao

The importance of a strict quarantine has been widely debated during the COVID-19 epidemic even from the purely epidemiological point of view. One argument against strict lockdown measures is that once the strict quarantine is lifted, the…

Physics and Society · Physics 2021-02-03 Varun Nimmagadda , Oleg Kogan , Evgeniy Khain

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the…

Populations and Evolution · Quantitative Biology 2020-03-19 Rose Baker

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…

Physics and Society · Physics 2015-06-09 Martin Dottori , Gabriel Fabricius

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…

Physics and Society · Physics 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

Motivated by the swift global transmission of infectious diseases, we present a comprehensive framework for network-based epidemic control. Our aim is to curb epidemics using two different approaches. In the first approach, we introduce an…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Mahtab Talaei , Apostolos I. Rikos , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis

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,…

Physics and Society · Physics 2020-07-13 Benjamin Braun , Başak Taraktaş , Brian Beckage , Jane Molofsky

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…

Social and Information Networks · Computer Science 2016-06-29 Masaki Ogura , Victor M. Preciado

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…

Physics and Society · Physics 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra