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Analysis of a Netwo...
Analysis of a Networked SIS Multi-Virus Model with a Shared Resource
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- Janson, Axel (author)
- KTH,Reglerteknik
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- Gracy, Sebin (author)
- KTH,Reglerteknik
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- Pare, Philip E. (author)
- Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA.
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- Sandberg, Henrik (author)
- KTH,ACCESS Linnaeus Centre,Reglerteknik
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- Johansson, Karl H., 1967- (author)
- KTH,Reglerteknik,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Elsevier BV, 2020
- 2020
- English.
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In: IFAC PAPERSONLINE. - : Elsevier BV. - 2405-8963. ; , s. 797-802
- Related links:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- Epidemic processes
- Competing viruses
- Shared resource
- Exponential stability
- Asymptotic Stability
- Endemic equilibrium
Publication and Content Type
- ref (subject category)
- kon (subject category)
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