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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	2901-2911
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	7
DOIs	https://doi.org/10.1090/proc/15730
State	Published - 2022

Keywords

Global attractivity
Lyapunov functional
basic reproduction number
viral infection model

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10.1090/proc/15730

Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(3/3)
Hsu, C.-H. (PI)
1/08/20 → 31/07/21
Project: Research

Cite this

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title = "GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL",

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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AU - Zou, Lan

AU - Hsu, Cheng Hsiung

PY - 2022

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.

KW - Global attractivity

KW - Lyapunov functional

KW - basic reproduction number

KW - viral infection model

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U2 - 10.1090/proc/15730

DO - 10.1090/proc/15730

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

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Keywords

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Projects

Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(3/3)

Cite this