You are being downvoted because population control is often a totalitarian idea. There are few things that are more ingrained in us as a species as the urge to procreate. Taking that possibility away from people is extremely oppressive. Your animal analogy also doesn't help as a literal interpretation of it would seem to support genocide.
There are other ways of addressing this problem. For example, birth rates have consistently been shown to be inversely effected by education rates and standard of living. Population growth will therefore decrease if we raise the education level and standard of living of the world.
Our economic systems do not support that solution, and I'd bet my life on it this will never happen. In theory a lot of things are fine, reality is ugly, very ugly.
There are other ways of addressing this problem. For example, birth rates have consistently been shown to be inversely effected by education rates and standard of living. Population growth will therefore decrease if we raise the education level and standard of living of the world.