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    Global convergence analysis of a class of epidemic models

    Access Status
    Open access via publisher
    Authors
    Ye, H.
    Gui, W.
    Xu, Honglei
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Ye, H. and Gui, W. and Xu, H. 2017. Global convergence analysis of a class of epidemic models. Applied Mathematical Modelling. 47: pp. 442-458.
    Source Title
    Applied Mathematical Modelling
    DOI
    10.1016/j.apm.2017.03.013
    ISSN
    0307-904X
    School
    Department of Mathematics and Statistics
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160102819
    URI
    http://hdl.handle.net/20.500.11937/54726
    Collection
    • Curtin Research Publications
    Abstract

    This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a disease free equilibrium (DFE) and the global convergence to an endemic equilibrium (EE). Typical epidemic models are studied to illustrate the applicability of the proposed methodology.

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