On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model
This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model. In particular, we focus on the case where there are three competing viruses (i.e., the tri-virus system). First, we show that the tri-virus system is not a monotone system. Thereafter, we provide a condition that guarantees local exponential convergence to a boundary equilibrium (exactly one virus is endemic, the other two are dead), and identify a special case that admits the existence and local exponential attractivity of a line of coexistence equilibria (at least two viruses are active). Finally, we identify a particular case (subsumed by the aforementioned special case) such that, for all nonzero initial infection levels, the dynamics of the tri-virus system converge to a plane of coexistence equilibria..
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Preprint| Erscheinungsjahr: |
2022 |
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| Erschienen: |
2022 |
| Enthalten in: |
arXiv.org - (2022) vom: 23. Sept. Zur Gesamtaufnahme - year:2022 |
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| Sprache: |
Englisch |
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| Beteiligte Personen: |
Gracy, Sebin [VerfasserIn] |
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| Links: |
Volltext [kostenfrei] |
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| Themen: |
000 |
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| PPN (Katalog-ID): |
XAR037393693 |
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| 100 | 1 | |a Gracy, Sebin |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model |
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| 520 | |a This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model. In particular, we focus on the case where there are three competing viruses (i.e., the tri-virus system). First, we show that the tri-virus system is not a monotone system. Thereafter, we provide a condition that guarantees local exponential convergence to a boundary equilibrium (exactly one virus is endemic, the other two are dead), and identify a special case that admits the existence and local exponential attractivity of a line of coexistence equilibria (at least two viruses are active). Finally, we identify a particular case (subsumed by the aforementioned special case) such that, for all nonzero initial infection levels, the dynamics of the tri-virus system converge to a plane of coexistence equilibria. | ||
| 650 | 4 | |a Electrical Engineering and Systems Science - Systems and Control |7 (dpeaa)DE-84 | |
| 650 | 4 | |a Computer Science - Systems and Control |7 (dpeaa)DE-84 | |
| 650 | 4 | |a 620 |7 (dpeaa)DE-84 | |
| 650 | 4 | |a 000 |7 (dpeaa)DE-84 | |
| 700 | 1 | |a Ye, Mengbin |e verfasserin |4 aut | |
| 700 | 1 | |a Anderson, Brian DO |e verfasserin |4 aut | |
| 700 | 1 | |a Uribe, Cesar A. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t arXiv.org |g (2022) vom: 23. Sept. |
| 773 | 1 | 8 | |g year:2022 |g day:23 |g month:09 |
| 856 | 4 | 0 | |u https://arxiv.org/abs/2209.11826 |z kostenfrei |3 Volltext |
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