Countries will be destroyed, Political entities will be destroyed and Religions will be destroyed. Human Civilization in any form will be destroyed.
But humanity, as a species will survive anything except the end of the earth through natural occurance or genocidal aliens (who, as you would expect, would have superior technology).
Nature, and the global eco-system is a balance. If the human population becomes to great and damages the eco-system with excess pollution and the extinction of species, then its fair to assume things that rely on nature to sustain us with, like food and water, would become scarce and that a lot of people will die as a result of these shortages.
But nature has an uncanny knack for balance and if we harm ourselves, through whatever means, the planet will remain and eventually recover. And the humans that survive will continue on.