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    Differential equation and complex network approaches for epidemic modelling

    193211_Phang2012.pdf (1.224Mb)
    Access Status
    Open access
    Authors
    Phang, Chang
    Date
    2012
    Supervisor
    Prof. Yong Hong Wu
    Assoc. Prof. Benchawan Wiwatanapataphee
    Type
    Thesis
    Award
    PhD
    
    Metadata
    Show full item record
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/1343
    Collection
    • Curtin Theses
    Abstract

    This study consists of three parts. The first part focuses on bifurcation analysis of epidemic models with sub-optimal immunity and saturated treatment/recovery rate as well as nonlinear incidence rate. The second part of the research focuses on estimating the domain of attraction for sub-optimal immunity epidemic models. In the third part of the research, we develop a bond percolation model for community clustered networks with an arbitrarily specified joint degree distribution.

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