Epidemics in heterogeneous populations: aspects of optimal vaccination policies.

@article{Cairns1989EpidemicsIH,
  title={Epidemics in heterogeneous populations: aspects of optimal vaccination policies.},
  author={Andrew J. G. Cairns},
  journal={IMA journal of mathematics applied in medicine and biology},
  year={1989},
  volume={6 3},
  pages={137-59}
}
Three models for epidemics among m groups with applications to human disease, especially socially and geographically heterogeneous populations, are considered. It is shown that the initial growth of each is an increasing function of the Frobenius root of R0, the matrix of reproductive ratios. A new way of looking at optimal vaccination is presented by linking policies to the growth rate of a new epidemic. Aspects of how to minimize the initial growth rate are analysed. In particular, we see… CONTINUE READING

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