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Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Juntao Chen , Yunhan Huang , Rui Zhang , Quanyan Zhu

We consider an SIS-type epidemic process that evolves on a known graph. We assume that a fixed curing budget can be allocated at each instant to the nodes of the graph, towards the objective of minimizing the expected extinction time of the…

Social and Information Networks · Computer Science 2015-10-22 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis

Efficient allocation of limited medical resources is crucial for controlling epidemic spreading on networks. Based on the susceptible-infected-susceptible model, we solve an optimization problem as how best to allocate the limited resources…

Populations and Evolution · Quantitative Biology 2017-08-02 Hanshuang Chen , Guofeng Li , Haifeng Zhang , Zhonghuai Hou

Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogeneity features into account, such as super-spreaders, and…

Optimization and Control · Mathematics 2022-05-16 C. Courtès , E. Franck , K. Lutz , L. Navoret , Y. Privat

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

The spread of disease on complex networks has attracted widely attention in the physics community. Recent works have demonstrated that heterogeneous degree and weight distributions have a significant influence on the epidemic dynamics. In…

Physics and Society · Physics 2015-06-22 Wei Wang , Ming Tang , Hai-Feng Zhang , Hui Gao , Younghae Do , Zong-Hua Liu

Understanding how to effectively control an epidemic spreading on a network is a problem of paramount importance for the scientific community. The ongoing COVID-19 pandemic has highlighted the need for policies that mitigate the spread,…

Populations and Evolution · Quantitative Biology 2021-09-14 Carlo Cenedese , Lorenzo Zino , Michele Cucuzzella , Ming Cao

Optimal control of interdependent epidemics spreading over complex networks is a critical issue. We first establish a framework to capture the coupling between two epidemics, and then analyze the system's equilibrium states by categorizing…

Systems and Control · Computer Science 2017-10-19 Juntao Chen , Rui Zhang , Quanyan Zhu

We consider the propagation of a contagion process (epidemic) on a network and study the problem of dynamically allocating a fixed curing budget to the nodes of the graph, at each time instant. For bounded degree graphs, we provide a lower…

Social and Information Networks · Computer Science 2015-10-22 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis

We study the curing of epidemics of a network contagion, which is modelled using a variation of the classical Polya urn process that takes into account spatial infection among neighbouring nodes. We introduce several quantities for…

Optimization and Control · Mathematics 2017-11-09 Mikhail Hayhoe , Fady Alajaji , Bahman Gharesifard

We study the diffusion of epidemics on networks that are partitioned into local communities. The gross structure of hierarchical networks of this kind can be described by a quotient graph. The rationale of this approach is that individuals…

Social and Information Networks · Computer Science 2016-01-19 Stefano Bonaccorsi , Stefania Ottaviano , Delio Mugnolo , Francesco De Pellegrini

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta

We provide a dynamic policy for the rapid containment of a contagion process modeled as an SIS epidemic on a bounded degree undirected graph with n nodes. We show that if the budget $r$ of curing resources available at each time is…

Social and Information Networks · Computer Science 2014-07-10 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

Physics and Society · Physics 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

We propose an efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks, wherein each node represents a subpopulation with any number of individuals and is assigned a curing rate that is proportional to…

Physics and Society · Physics 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

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

Models for control of epidemics on local, global and small-world networks are considered, with only partial information accessible about the status of individuals and their connections. The main goal of an effective control measure is to…

Physics and Society · Physics 2007-05-23 A. Kleczkowski , B. Dybiec , C. A. Gilligan

Despite centuries of work on containment and mitigation strategies, infectious diseases are still a major problem facing humanity. This work is concerned with simulating heterogeneous contact structures and understanding how the structure…

Social and Information Networks · Computer Science 2024-02-07 Jan Kreischer , Adrian Iten , Astrid Jehoul

We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic…

Optimization and Control · Mathematics 2020-11-04 Salvatore Federico , Giorgio Ferrari

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou
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