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Analysis and Contro...
Analysis and Control of a Continuous-Time Bi-Virus Model
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- Liu, Ji (författare)
- SUNY Stony Brook, Dept Elect & Comp Engn, Centereach, NY 11720 USA.
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- Pare, Philip E. (författare)
- KTH,Reglerteknik
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- Nedic, Angelia (författare)
- Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85281 USA.
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- Tang, Choon Yik (författare)
- Univ Oklahoma, Sch Elect & Comp Engn, Norman, OK 73019 USA.
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- Beck, Carolyn L. (författare)
- Univ Illinois, Coordinated Sci Lab, Champaign, IL 61820 USA.
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- Basar, Tamer (författare)
- Univ Illinois, Coordinated Sci Lab, Champaign, IL 61820 USA.
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SUNY Stony Brook, Dept Elect & Comp Engn, Centereach, NY 11720 USA Reglerteknik (creator_code:org_t)
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2019
- 2019
- Engelska.
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Ingår i: IEEE Transactions on Automatic Control. - : IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. - 0018-9286 .- 1558-2523. ; 64:12, s. 4891-4906
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the equilibria of the system and their stability. Specifically, when the two viruses spread over possibly different directed infection graphs, the system may have the following: first, a unique equilibrium, the healthy state, which is globally stable, implying that both viruses will eventually be eradicated, second, two equilibria including the healthy state and a dominant virus state, which is almost globally stable, implying that one virus will pervade the entire network causing a single-virus epidemic while the other virus will be eradicated, or third, at least three equilibria including the healthy state and two dominant virus states, depending on certain conditions on the healing and infection rates. When the two viruses spread over the same directed infection graph, the system may have zero or infinitely many coexisting epidemic equilibria, which represents the pervasion of the two viruses. Sensitivity properties of some nontrivial equilibria are investigated in the context of a decentralized control technique, and an impossibility result is given for a certain type of distributed feedback controller.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Viruses (medical)
- Stability analysis
- Biological system modeling
- Analytical models
- Mathematical model
- Limiting
- Distributed feedback devices
- Competing viruses
- computer viruses
- epidemic processes
- networked control systems
- nonlinear control systems
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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