Indeed. Even a partially effective vaccine has a massive effect on transmission rates. The maths is really quite simple. The smallpox vaccine wasn't 100% effective. Still didn't stop it being used to wholly eradicate smallpox.
Slightly off topic but I thought this recent Graun article on how they eradicated smallpox was really interesting
https://www.theguardian.com/science/2020/nov/21/it-was-a-total-invasion-the-virus-that-came-back-from-the-dead
Tl;dr they used a tracing strategy and vaccinated all the contacts of each case to cut off the spread
@charliem started
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Indeed. Even a partially effective vaccine has a massive effect on transmission rates. The maths is really quite simple. The smallpox vaccine wasn't 100% effective. Still didn't stop it being used to wholly eradicate smallpox.