Solution for the coexistence of overpopulated human species with nature
It's important to understand that this problem is a bit more nuanced.
Population growth in every species is exponential (as much as exponential growth can exist, in reality almost nothing is proven to grow infinitely, therefore at some point stops growing exponentially).
Check out this for a description of carrying capacity. In a lot of ways it shows that human population growth is not much different than any other species... but we do it on such a grand scale, and that is something to consider. https://en.wikipedia.org/wiki/Carrying_capacity#:~:text=The%20carrying%20capacity%20of%20an,water%2C%20and%20other%20resources%20available.
The biggest problem in the future may not be our exponential growth, but our increase in carrying capacity for our specific environment (which for humans is the entire Earth). The most significant cause of this is the Green Revolution (agricultural improvements, not environment).
https://en.wikipedia.org/wiki/Green_Revolution
We certainly don't want to see that carrying capacity drop.