it is very likely homo erectus was extinct before modern humans arrived in northern/central China
on the other hand modern humans were in the Levant and the Persian Gulf 125000 years ago while Neanderthal was in the Levant 200000 years ago and in the Zagros Mountains 80000 years ago
in both areas Neanderthal went extinct 40-50000 years ago
modern human tribes that still survive today - descendants of haplo CT - left the Middle Eastern area only 55-45.000 years ago
so they had a very long time to interact
why then is there so little Neanderthal DNA left in modern humans?
why then there is so little Neanderthal DNA ?
From the archeological record, it's inferred that Neanderthals evolved in Europe or western Asia and spread out from there, stopping when they reached water or some other significant obstacle. (During the ice ages, sea levels were a lot lower than they are now, so there was no English Channel to cross.) This is one of the most basic ways modern humans differ from Neanderthals and, in Pääbo's view, also one of the most intriguing. By about forty-five thousand years ago, modern humans had already reached Australia, a journey that, even mid-ice age, meant crossing open water. Archaic humans likeHomo erectus "spread like many other mammals in the Old World," Pääbo told me. "They never came to Madagascar, never to Australia. Neither did Neanderthals. It's only fully modern humans who start this thing of venturing out on the ocean where you don't see land. Part of that is technology, of course; you have to have ships to do it. But there is also, I like to think or say, some madness there. You know? How many people must have sailed out and vanished on the Pacific before you found Easter Island? I mean, it’s ridiculous. And why do you do that? Is it for the glory? For immortality? For curiosity? And now we go to Mars. We never stop."
I find this explanation rather vague. Maybe it's an element, but there is more to it.
50.000 years ago modern humans develloped a technology based on stone blades, that is when expansion from SW Asia started
why was Neanderthal not part of it?
there is also the human who mixed with Neanderthals in Europe some 40.000 years ago
https://en.wikipedia.org/wiki/Peștera_cu_Oase
but it looks like this branch went extinct
somehow branches with to much Neanderthal DNA couldn't compete with the modern humans that had stone blades
levallois tool , Neanderthals and modern humans
blade tools as develloped by modern humans in the Middle East +/- 50.000 years ago