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Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbreak. For some contact networks, it is possible to group…

Physics and Society · Physics 2021-07-23 Bastian Prasse , Karel Devriendt , Piet Van Mieghem

We consider a multi-population epidemic model with one or more (almost) isolated communities and one mobile community. Each of the isolated communities has contact within itself and, in addition, contact with the outside world but only…

Optimization and Control · Mathematics 2019-02-18 Akhil P. T. , Eitan Altman , Rajesh Sundaresan

This paper studies efficient algorithms for dynamic curing policies and the corresponding network design problems to guarantee the fast extinction of epidemic spread in a susceptible-infected-susceptible (SIS) model. We consider a Markov…

Data Structures and Algorithms · Computer Science 2024-08-15 Yuhao Yi , Liren Shan , Shijie Wang , Philip E. Paré , Karl H. Johansson

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…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

A k-order coverage control problem is studied where a network of agents must deploy over a desired area. The objective is to deploy all the agents in a decentralized manner such that a certain coverage performance metric of the network is…

Multiagent Systems · Computer Science 2019-03-14 Daniel Tabatabai , Mohanad Ajina , Cameron Nowzari

The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

This paper is concerned with a stochastic model for the spread of an SEIR (susceptible -> exposed (=latent) -> infective -> removed) epidemic with a contact tracing scheme, in which removed individuals may name some of their infectious…

Probability · Mathematics 2015-12-08 Frank G Ball , Edward S Knock , Philip D O'Neill

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.…

Probability · Mathematics 2019-01-23 Frank Ball , Tom Britton , Ka Yin Leung , David Sirl

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

We study the spread of discrete-time epidemics over arbitrary networks for well-known propagation models, namely SIS (susceptible-infected-susceptible), SIR (susceptible-infected-recovered), SIRS (susceptible-infected-recovered-susceptible)…

Social and Information Networks · Computer Science 2016-10-03 Navid Azizan Ruhi , Hyoung Jun Ahn , Babak Hassibi

This paper studies epidemic processes over discrete-time periodic time-varying networks. We focus on the susceptible-infected-susceptible (SIS) model that accounts for a (possibly) mutating virus. We say that an agent is in the disease-free…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Sebin Gracy , Philip. E. Pare , Henrik Sandberg , Karl Henrik Johansson

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 study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

The problem of finding the optimal set of source nodes in a diffusion network that maximizes the spread of information, influence, and diseases in a limited amount of time depends dramatically on the underlying temporal dynamics of the…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

The susceptible--infected--susceptible (SIS) epidemic process on complex networks can show metastability, resembling an endemic equilibrium. In a general setting, the metastable state may involve a large portion of the network, or it can be…

Physics and Society · Physics 2016-05-03 Faryad Darabi Sahneh , Aram Vajdi , Caterina Scoglio

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…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

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,…

Probability · Mathematics 2020-08-17 Frank Ball , Tom Britton

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

Optimization and Control · Mathematics 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

We study the optimal control problem of maximizing the spread of an information epidemic on a social network. Information propagation is modeled as a Susceptible-Infected (SI) process and the campaign budget is fixed. Direct recruitment and…

Social and Information Networks · Computer Science 2016-02-16 Kundan Kandhway , Joy Kuri

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…

Physics and Society · Physics 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein