Modelling repeated epidemics with general infection kernels
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Date
2004
DOI
Open Access Location
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Publisher
Massey University
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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.
Description
Keywords
Epidemics, Infectious diseases
Citation
Mann, J. & Roberts, M. (2004), Modelling repeated epidemics with general infection kernels, Research Letters in the Information and Mathematical Sciences, 6, 159-170