Global stability for an age-structured multistrain virus dynamics model with humoral immunity

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Abstract

In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.

Original languageEnglish
JournalJournal of Applied Mathematics and Computing
DOIs
Publication statusAccepted/In press - Jan 1 2019

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Keywords

  • Age-structured model
  • Global stability
  • Immunity
  • Lyapunov functional
  • Multistrain

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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