Browsing by Author "Roberts, M."
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- ItemModelling repeated epidemics with general infection kernels(Massey University, 2004) Mann, J.; Roberts, M.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.