The phrase "exploding population" refers to a situation where the number of people in a specific area or the world is rapidly increasing. It implies a significant and rapid growth in the size of the population. Full definition
East coast clam and scallop beds are being ravaged by exploding populations of rays that were formerly kept in check by sharks. (sea-quest-kayak.com)
Gee, I wonder how it is that countries with exploding populations are suffering from malnutrition and poverty? (religion.blogs.cnn.com)
Jacques Cousteau, conservationist (lived 1910 — 1997) «We must alert and organise the world's people to pressure world leaders to take specific steps to solve the two root causes of our environmental crises — exploding population growth and wasteful consumption of irreplaceable resources. (populationmatters.org)