It really doesn't. Life sits in a complex, chaotic feedback loop which on our mayfly timescales tends to orbit around a semi-stable attractor. It only does so b

It really doesn't. Life sits in a complex, chaotic feedback loop which on our mayfly timescales tends to orbit around a semi-stable attractor. It only does so because everything is killing everything else just as hard as it can, while everything else tries to kill or outcompete it right back. It's not like if all the foxes suddenly disappeared the rabbits would just reach optimal comfortable population and then start using birth control.