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    Modelling repeated epidemics with general infection kernels

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    Abstract
    An integral equation approach is taken to explore the characteristics of a general infectious disease in a homogeneous population. It is shown that the final size of the epidemic depends on the basic reproduction ratio for the infection and the initial number of susceptibles. A discrete map for the susceptible population from epidemic generation to epidemic generation is formed to consider the long term behaviour of the disease in a population of constant size.
    Citation
    Mann, J. & Roberts, M. (2004), Modelling repeated epidemics with general infection kernels, Research Letters in the Information and Mathematical Sciences, 6, 159-170
    Date
    2004
    Author
    Mann, J.
    Roberts, M.
    Publisher
    Massey University
    URI
    http://hdl.handle.net/10179/4431
    Collections
    • Research Letters in the Information and Mathematical Sciences
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