"Mega Populations" and extinction?

Question

I was thinking, despite being in a period of mass extinctions, some species are doing extraordinarily well, in terms of numbers. Humans, rats, pigeons, cockroaches, Canadian geese, have huge populations. It seems different from previous extinction events. I'm not a biologist or ecologist, but I was wondering if someone has written about this effect and given it a name, and discussed if it's important.

Answer 1

I don't know where you are getting your numbers from but you are not going back far enough.  Canada geese are not doing that well, OK but nothing to write home about.   And there was a certain pigeon(Carrier?) which at one time blackened the skys for days.   Man fixed that. No such numbers now.   Roaches come and go.   People(which know better and the reasons why and can control it) are still multiplying.

Answer 2

there is a word, that i forget.

all the other animals depend on our providing them havitat, and/or food, and/or suppressing their predators.

we, or course, are in a different category, being able to modify the environment to make it habitable for more of us.

Answer 3

we are becoming invasive

just like climate change kills species of bacteria ,that affect micto organisms which in turn affect insects and all of the flora and fauna that follows in the food chains.

others are becoming invasive,that consume other species

like humans