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Global attractivity of a nonlocal reaction-diffusion viral infection model.

Authors :
Yang, Yu
Zou, Lan
Hsu, Cheng-Hsiung
Source :
Proceedings of the American Mathematical Society. Jul2022, Vol. 150 Issue 7, p2901-2911. 11p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BASIC reproduction number

Details

Language :
English
ISSN :
00029939
Volume :
150
Issue :
7
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
157053182
Full Text :
https://doi.org/10.1090/proc/15730