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When an unprecedented infectious disease with high mortality and transmissibility emerges, immediate usage of vaccines or medicines is hardly available. Thus, many health authorities rely on non-pharmaceutical interventions through…

Physics and Society · Physics 2022-01-21 Minsuk Kim , Soon-Hyung Yook

The epidemic threshold of a spreading process indicates the condition for the occurrence of the wide spreading regime, thus representing a predictor of the network vulnerability to the epidemic. Such threshold depends on the natural history…

Physics and Society · Physics 2016-01-20 Eugenio Valdano , Chiara Poletto , Vittoria Colizza

Epidemic containment is a major concern when confronting large-scale infections in complex networks. Many works have been devoted to analytically understand how to restructure the network to minimize the impact of major outbreaks of…

Physics and Society · Physics 2018-12-27 Joan T. Matamalas , Alex Arenas , Sergio Gómez

In this paper we first introduce the general stochastic epidemic model for the spread of infectious diseases. Then we give methods for inferring model parameters such as the basic reproduction number $R_0$ and vaccination coverage $v_c$…

Methodology · Statistics 2014-11-14 Tom Britton , Federica Giardina

Algorithms for identifying the infection states of nodes in a network are crucial for understanding and containing infections. Often, however, only a relatively small set of nodes have a known infection state. Moreover, the length of time…

Social and Information Networks · Computer Science 2014-02-04 Yeon-sup Lim , Bruno Ribeiro , Don Towsley

This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible $\to$ infected $\to$ removed) model for the spread of an epidemic amongst a population of individuals with a random network of social…

Physics and Society · Physics 2016-11-16 Frank Ball , David Sirl

We present a distributed resource allocation strategy to control an epidemic outbreak in a networked population based on a Distributed Alternating Direction Method of Multipliers (D-ADMM) algorithm. We consider a linearized Susceptible-…

Systems and Control · Computer Science 2015-01-09 Chinwendu Enyioha , Ali Jadbabaie , Victor Preciado , George J. Pappas

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

Populations and Evolution · Quantitative Biology 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel

We study the SIR ("susceptible, infected, removed/recovered") model on directed graphs with heterogeneous transmission probabilities within the message-passing approximation. We characterize the percolation transition, predict cluster size…

Physics and Society · Physics 2021-12-01 Christoph Widder , Tanja Schilling

Cascade models are central to understanding, predicting, and controlling epidemic spreading and information propagation. Related optimization, including influence maximization, model parameter inference, or the development of vaccination…

Artificial Intelligence · Computer Science 2020-12-17 Rebekka Burkholz , John Quackenbush

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

Competition and collaboration are at the heart of multi-agent probabilistic spreading processes. The battle on public opinion and competitive marketing campaigns are typical examples of the former, while the joint spread of multiple…

Physics and Society · Physics 2021-03-17 Hanlin Sun , David Saad , Andrey Y. Lokhov

Despite achieving strong performance in semi-supervised node classification task, graph neural networks (GNNs) are vulnerable to adversarial attacks, similar to other deep learning models. Existing researches focus on developing either…

Machine Learning · Computer Science 2021-08-26 Shuchang Tao , Huawei Shen , Qi Cao , Liang Hou , Xueqi Cheng

Research in epidemiology often focusses on designing interventions that result in the number of infected individuals asymptotically approaching zero, without considering that this number may peak at high values during transients. Recent…

Optimization and Control · Mathematics 2020-03-24 Willem Esterhuizen , Tim Aschenbruck , Jean Lévine , Stefan Streif

Epidemic dynamics in a stochastic network of interacting epidemic centers is considered. The epidemic and migration processes are modelled by Markov's chains. Explicit formulas for probability distribution of the migration process are…

Populations and Evolution · Quantitative Biology 2015-05-05 Igor Sazonov , Mark Kelbert

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

Since the onset of the COVID-19 pandemic, there has been a growing interest in studying epidemiological models. Traditional mechanistic models mathematically describe the transmission mechanisms of infectious diseases. However, they often…

Machine Learning · Computer Science 2024-09-10 Zewen Liu , Guancheng Wan , B. Aditya Prakash , Max S. Y. Lau , Wei Jin

A linearization-based feedback-control strategy for a SEIR epidemic model is discussed. The vaccination objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously…

Dynamical Systems · Mathematics 2011-03-24 M. De la Sen , A. Ibeas , S. Alonso-Quesada

In this work, we investigate the use of epidemic routing in energy constrained Delay Tolerant Networks (DTNs). In epidemic routing, messages are relayed by intermediate nodes at contact opportunities, i.e., when pairs of nodes come within…

Systems and Control · Computer Science 2018-09-06 Soheil Eshghi , MHR. Khouzani , Saswati Sarkar , Ness B. Shroff , Santosh S. Venkatesh