GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

Yu Yang, Lan Zou, Cheng Hsiung Hsu

Research output: Contribution to journalArticlepeer-review

1 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 languageEnglish
Pages (from-to)2901-2911
Number of pages11
JournalProceedings of the American Mathematical Society
Volume150
Issue number7
DOIs
StatePublished - 2022

Keywords

  • basic reproduction number
  • Global attractivity
  • Lyapunov functional
  • viral infection model

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