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

Tsuyoshi Kajiwara, Toru Sasaki, Yoji Otani

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    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
    Pages (from-to)239-279
    Number of pages41
    JournalJournal of Applied Mathematics and Computing
    Volume62
    Issue number1-2
    DOIs
    Publication statusPublished - Feb 1 2020

    Keywords

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

    ASJC Scopus subject areas

    • Computational Mathematics
    • Applied Mathematics

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