The Old World had bigger cities and more domesticated animals, which promotes epidemics.
I also assume the fact the our species is indigenous to Africa means that's where our natural predators have had vastly longer time to evolve.
It's also largely an accident of history. The Conquistadors inadvertently introduced smallpox suddenly by sending for reinforcements during a Caribbean smallpox outbreak. The Mayans that the Spaniards spent the next two centuries conquering weren't nearly as quickly exposed and died off in fewer numbers from European diseases.
https://old.reddit.com/r/AskHistorians/comments/pmu2ft/recom...
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EDIT: Really, the reception to GGS is probably one of the best illustrations of what Thomas Kuhn was talking about in The Structure of Scientific Revolutions about different paradigms having different rules that I can recall seeing in my lifetime.
1. The “Old World” had a much more extensive animal husbandry. A lot of the nastiest diseases human beings pick up come from animal reservoirs. With humans living in closer quarters to animals for a much longer period of time in Eurasia/Africa than the Americas, more diseases crossed over and became endemic among the population.
2. A great amount of the Eurasian continent is along an East-West axis, whereas the Americas are primarily North-South. This means that seasons and climates and climates tended to be more closely aligned, which leads to easier spread of agriculture and domesticated animals, which leads to faster population growth and disease spread.
That's also what protected inland parts of Africa from colonisation until the XIX century.
Africa is a huge cauldron of human pathogens, which is not that surprising, given that hominids developed there. As a rather tragic consequence, Africans were sought after as slaves, because they were resistent to many of the diseases that killed white or Amerindian indentured workers.