Europeans often did die en mass to things like malaria and yellow fever when in tropical areas, but these have significantly lower death rates (3-20%) even before modern medicine.
Really though while many epidemics spread through the Americas, there is only one disease specifically that did most of the killing in the Americas: Small Pox. In populations without resistance as you have in the Americas it’s a near **90%** death rate.
A disease that easily spread and that deadly is an exceedingly rare and unusual circumstance and the new world simply didn’t have an equivalent.
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