proliferate

verb

1. (ambitransitive)To increase in number or spread rapidly; to multiply.

   “The flowers proliferated rapidly all spring.”

   “When no certain cure exists, quack remedies tend to proliferate and the history of quackery and secret cures is full of extraordinary forms of treatment for the various arthritic disorders.”

   “But through the oligopoly, charcoal fuel proliferated throughout London's trades and industries. By the 1200s, brewers and bakers, tilemakers, glassblowers, pottery producers, and a range of other craftsmen all became hour-to-hour consumers of charcoal.”

   “After decades of the type of mismanagement that proliferated across all the nationalised industries, the government was already aware that British Railways was in deep trouble.”