Boom towns are places that through unfettered capitalism or a surge in supply of a valuable resource, or both, see a massive influx of people coming in, looking for jobs related to the industry. The most common form of this are oil boomtowns and there's a number of them in the US. Now, we have enough oil in the northern region of the country to TREMENDOUSLY curtail our dependence on Middle Eastern oil, and I'm very much in favour of extracting it. However, I would never in a million years want to live in one of these (mostly North Dakotan) towns. Since you can make as much as $200k a year working on oil rigs, the barrier to entry is low despite the labour demand being high. So a lot of uneducated men pour in and bring all the crime that's associated with rapid expansion with it. Top it off that these men are single, horny, and there is a very low ratio of single women to single men there. Never a good thing! Contrast that with a low-growth place like Vermont, a great place to live.
So what youre saying is that for public safety, boomtowns need brothels.
They're probably working the boom so they can retire to Vermont.