Your information is horribly out of date. There is no evidence that population is out of control. It will likely stabilize around 2100 at about 10-11 billion. Those many can be easily supported if we stabilize climate change and create an economy that shares resource fairly.
There are increasing concerns of fertility-driven population crashes, not “bombs” - already a major concern in places like Russia, Japan, and some European countries and soon, China. Should a critical percentage of the population reach 45-50 years of age - beyond child-bearing age, the real threat of fertility-crash-driven economic collapse, then human extinction becomes a possibility. The mathematics of population growth and decline is fundamentally chaotic - chaos theory arose from population modeling studies. Deliberate attempts to control human fertility could go badly awry - the Chinese are starting to worry about this now with regard to their too-successful “one-child policy”.