GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

Yu Yang; Lan Zou; Cheng Hsiung Hsu

doi:10.1090/proc/15730

GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

Yu Yang, Lan Zou, Cheng Hsiung Hsu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

This paper is concerned with the global attractivity of a nonlocal reaction-diffusion viral infection model. By constructing suitable Lyapunov functionals, we show that the solutions of the model converge to a unique endemic equilibrium when the basic reproduction number is greater than one. The global attractivity for certain models with specific net growth rate and cell-to-cell transmissions are investigated as examples for illustration. Our results improve and generalize some known results.

原文	???core.languages.en_GB???
頁（從 - 到）	2901-2911
頁數	11
期刊	Proceedings of the American Mathematical Society
卷	150
發行號	7
DOIs	https://doi.org/10.1090/proc/15730
出版狀態	已出版 - 2022

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10.1090/proc/15730

網格型動態系統及反映擴散方程行波的交互作用及穩定性之研究(3/3)
Hsu, C.-H. (PI)
1/08/20 → 31/07/21
研究計畫: Research

引用此

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abstract = "This paper is concerned with the global attractivity of a nonlocal reaction-diffusion viral infection model. By constructing suitable Lyapunov functionals, we show that the solutions of the model converge to a unique endemic equilibrium when the basic reproduction number is greater than one. The global attractivity for certain models with specific net growth rate and cell-to-cell transmissions are investigated as examples for illustration. Our results improve and generalize some known results.",

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Y1 - 2022

N2 - This paper is concerned with the global attractivity of a nonlocal reaction-diffusion viral infection model. By constructing suitable Lyapunov functionals, we show that the solutions of the model converge to a unique endemic equilibrium when the basic reproduction number is greater than one. The global attractivity for certain models with specific net growth rate and cell-to-cell transmissions are investigated as examples for illustration. Our results improve and generalize some known results.

AB - This paper is concerned with the global attractivity of a nonlocal reaction-diffusion viral infection model. By constructing suitable Lyapunov functionals, we show that the solutions of the model converge to a unique endemic equilibrium when the basic reproduction number is greater than one. The global attractivity for certain models with specific net growth rate and cell-to-cell transmissions are investigated as examples for illustration. Our results improve and generalize some known results.

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KW - Lyapunov functional

KW - basic reproduction number

KW - viral infection model

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GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

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網格型動態系統及反映擴散方程行波的交互作用及穩定性之研究(3/3)

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