The Vaccination Problem

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Abstract
Though Jenner did not prove that cowpox is biologically akin to smallpox, this has since been done. The lower fatality rates from smallpox of the vaccinated are not due to different age distributions and probably only in part to differences in social class. Vaccination has been shown to confer some protection against the risk of dying from smallpox. A mathematical relation between recovery rates of vaccinated and unvaccinated is derived, which fits the observed data roughly. Vaccination "has been one of the factors, but not the sole, perhaps not the most important, factor in modifying the epidemiological history of smallpox during the last hundred years.".

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