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
Publisher
Massey University
