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    Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay

    Access Status
    Fulltext not available
    Authors
    Peng, Yahong
    Zhang, Tonghua
    Tade, Moses
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Peng, Y. and Zhang, T. and Tade, M. 2010. Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay. Nonlinear Analysis: Real World Applications. 11 (4): pp. 2472-2478.
    Source Title
    Nonlinear Analysis: Real World Applications
    DOI
    10.1016/j.nonrwa.2009.08.004
    ISSN
    14681218
    School
    Department of Chemical Engineering
    URI
    http://hdl.handle.net/20.500.11937/39957
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study travelling front solutions of a vector disease model incorporating time delays and diffusion. Special attention is paid to the modelling of the time delays to incorporate the associated non-local spatial terms which account for the drift of individuals to their present positions from their possible positions at previous times. We shall show that such fronts exist for the weak generic delay kernel and sufficiently small delays by using geometric singular perturbation theory. Then, for the discrete-delay case, following Canosa’s asymptotic analysis method, we give some information on travelling front solutions.

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