Retrieving "Smallpox" from the archives

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1. Childhood Vaccination

   Linked via "smallpox"

   The ultimate goal of childhood vaccination is the establishment of herd immunity ($\text{H}$), defined as the indirect protection conferred to a population when a sufficient proportion ($p$) is immune, rendering the chain of transmission highly improbable. For a disease with a basic reproduction number $R0$, the required threshold for herd immunity is $p \geq 1 - (1/R0)$.
   Diseases like polio and smallpox (the latter being globally eradicated through vaccination) demonstrate the power of achieving this threshold. However, vacc…