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

Research output: Contribution to journalArticle

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

Fingerprint

Immunity
Global Stability
Viruses
Virus
Dynamic models
Dynamic Model
Age-structured Model
Cell
Infectious Diseases
Lyapunov Functional
Pathogens
Persistence
Infection
Absorption
Mathematical Model
Mathematical models
Model

Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

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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.",
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author = "Tsuyoshi Kajiwara and Toru Sasaki and Yoji Otani",
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AB - 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.

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