This is simple math. Let's take a look at an example using the Delta variant:
Vaccinated people are five times less likely to be infected with the Delta variant. This is a fact. If you don't accept it as fact, please skip posting here and pick up a book instead.
https://www.cdc.gov/mmwr/volumes/70/wr/mm7037e1.htm
The R0 of Delta with no mitigation factors is somewhere around 5-7, let's go with five for this exercise:
https://academic.oup.com/jtm/article/28/7/taab124/6346388
Okay, now lets start. 200 people are exposed to a person the Delta variant, 100 are vaccinated, 100 are unvaccinated. Given the delta and the efficacy of the vaccines:
7 unvaccinated people will get the variant
2 vaccinated people will get the variant (I'm erring on the side of caution, it's actually less than two)
If the group had been 100 percent vaccinated, 3 people would have gotten the virus, instead of nine. Each iteration increases the infection exponentially. This is simple math. Three is less than nine. Therefore vaccines slow the spread. If enough people are vaccinated, and additional mitigation is used, the R0 will quickly drop below 1.
Any questions? If you are having trouble understanding, see the teacher for assignment to the remedial window licker class.
Vaccinated people are five times less likely to be infected with the Delta variant. This is a fact. If you don't accept it as fact, please skip posting here and pick up a book instead.
https://www.cdc.gov/mmwr/volumes/70/wr/mm7037e1.htm
The R0 of Delta with no mitigation factors is somewhere around 5-7, let's go with five for this exercise:
https://academic.oup.com/jtm/article/28/7/taab124/6346388
Okay, now lets start. 200 people are exposed to a person the Delta variant, 100 are vaccinated, 100 are unvaccinated. Given the delta and the efficacy of the vaccines:
7 unvaccinated people will get the variant
2 vaccinated people will get the variant (I'm erring on the side of caution, it's actually less than two)
If the group had been 100 percent vaccinated, 3 people would have gotten the virus, instead of nine. Each iteration increases the infection exponentially. This is simple math. Three is less than nine. Therefore vaccines slow the spread. If enough people are vaccinated, and additional mitigation is used, the R0 will quickly drop below 1.
Any questions? If you are having trouble understanding, see the teacher for assignment to the remedial window licker class.