The fact that there are almost 10 billions people alive on this Earth prove otherwise. The population would not flourish if everyone was poor and starving. It's pretty obvious that the world is getting richer and the poors are getting richer no matter what the gap between the poors and the richs is. Now "poor" people in the US have internet access and mobile phones. Come on !
The rate of population growth has been slowing[0] since 1963, and monotonically so since 1991. The UN's "medium" projection suggests that the total population peak is just over 10 billion, and the low peak is just over 8 billion[1]