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Analysis of a Networked SIS Multi-Virus Model with a Shared Resource
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).
Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA..
KTH, School of Electrical Engineering and Computer Science (EECS), Centres, ACCESS Linnaeus Centre. KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0003-1835-2963
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2020 (English)In: IFAC PAPERSONLINE, Elsevier BV , 2020, Vol. 53, no 5, p. 797-802Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we introduce a continuous-time competing virus model with a shared resource. We say that the system is in the healthy state if all the agents are healthy, and the shared resource is not contaminated. If the epidemic remains persistent, and the shared resource is contaminated, we say that the system is in the endemic state. First of all we show, under appropriate assumptions, that the model we introduce is well-posed. Secondly, we establish sufficient conditions for exponential (resp. asymptotic) eradication of a virus. Thirdly, for the single-virus case with a shared resource, we establish conditions that lead to existence of an endemic equilibrium. Finally, we provide a necessary and sufficient condition for uniqueness of the healthy state. 

Place, publisher, year, edition, pages
Elsevier BV , 2020. Vol. 53, no 5, p. 797-802
Keywords [en]
Epidemic processes, Competing viruses, Shared resource, Exponential stability, Asymptotic Stability, Endemic equilibrium
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-298148DOI: 10.1016/j.ifacol.2021.04.220ISI: 000656589700141Scopus ID: 2-s2.0-85107894738OAI: oai:DiVA.org:kth-298148DiVA, id: diva2:1582584
Conference
3rd IFAC Workshop pn Cyber-Physical and Human Systems (CPHS), DEC 03-05, 2020, Beijing, PEOPLES R CHINA
Note

QC 20210802

Available from: 2021-08-02 Created: 2021-08-02 Last updated: 2022-06-30Bibliographically approved

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Janson, AxelGracy, SebinSandberg, HenrikJohansson, Karl H.

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