Sebastian Funk, Associate Professor at the Centre for the Mathematical Modelling of Infectious Diseases at the London School of Hygiene & Tropical Medicine: "to achieve [termination of measles transmission,] the population immune needs to be 93-95%, the herd immunity threshold." (https://www.who.int/immunization/sage/meetings/2017/october/...)
The article that I linked shows why even 100% vaccinated population will not achieve herd immunity. This is the meat of the article really, read it.
There is a substitution of terms in the first statement that you quoted. To stop transmission you need 90-95% of the population being _immune_ to the disease, not vaccinated against it. Do you see the difference?
The second quote by Funk got it right. But again please read the article why this is unattainable even with the 100% vaccination rate.
She is a trained immunologist, but besides, her article is well reasoned and provides references for every fact she cites. Compare that to the PBS article in the root comment.
Attaching a moniker "quack" at will is no way to have a discussion.
That article is not at all well-reasoned. There's a core of truth, which is that even with 100% vaccination a population may not always have effective herd immunity from measles, because the vaccine is not 100% effective over all timespans, and the threshold of immunity required for effective herd immunity against something as insanely infectious as measles is quite high.
But the author goes far beyond that conclusion and rails against the very idea of herd immunity, and claims that since herd immunity may not be possible in practice when dealing with measles, there should be no stigma against opting out of vaccination. These conclusions are very weakly argued, and the obvious counter-arguments are not addressed.
https://www.pbs.org/wgbh/nova/article/herd-immunity/