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Although countless hours of scientific journal research did not give me a percentage, it did lead to an interesting model that was made before the HPV vaccine that predicts the correlation of a HPV vaccine and the effects it would have on the number of cases of Cervical Cancer. The model assumed a 90% efficacy (the current vaccine is ~100%)with 70% of girls getting it at the age of 12. This study found the vaccine would decrease the overall HPV infection by 95.4%. It also found that cervical cancer would decrease by 61.8%. Keep in mind, this is only vaccinating girls, and they made a model for the vaccination o both boys and girls, but the boys results were largely insignificant in comparison.
So in terms of eliminating HPV entirely through herd immunity, i would estimate, that it would be between 70-80% of the would population would have to be vaccinated to eliminate the two strains of HPV that we currently have a vaccine for.
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sources:
here
and
here
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