ID | 63897 |
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Author |
Kajiwara, Tsuyoshi
Graduate School of Environmental and Life Sciences, Okayama University
Kaken ID
publons
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Otani, Yoji
School of Engineering, Okayama University
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Abstract | In this paper, for an infection age model with two routes, virus-to-cell and cell-to-cell, and with two compartments, we show that the basic reproduction ratio R-0 gives the threshold of the stability. If R-0 > 1, the interior equilibrium is unique and globally stable, and if R-0 <= 1, the disease free equilibrium is globally stable. Some stability results are obtained in previous research, but, for example, a complete proof of the global stability of the disease equilibrium was not shown. We give the proof for all the cases, and show that we can use a type reproduction number for this model.
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Keywords | global stability
two routes of infection
two compartments
type reproduction number
lyapunov functional
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Published Date | 2022-08-02
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Publication Title |
Mathematical Biosciences And Engineering
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Volume | volume19
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Issue | issue11
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Publisher | American Institute of Mathematical Sciences
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Start Page | 11047
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End Page | 11070
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ISSN | 1547-1063
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Content Type |
Journal Article
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language |
English
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OAI-PMH Set |
岡山大学
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Copyright Holders | © 2022 the Author(s), licensee AIMS Press.
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File Version | publisher
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DOI | |
Web of Science KeyUT | |
Related Url | isVersionOf https://doi.org/10.3934/mbe.2022515
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License | http://creativecommons.org/licenses/by/4.0
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Funder Name |
Japan Society for the Promotion of Science
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助成番号 | JP17K05365
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