Islamic counties [sic] generally didn't get the bubonic plague like Europeans did

Sorry for asking, but what is the main source for your premise above?

The following is just a summary of the post I commented in What was the response to the Black Death like in the Islamic world?, about a year ago:

• In short, the Islamic people in the middle of the 14th century certainly suffered from the bubonic plague as well.
• Compared with their contemporary European counterparts, however, the people in the Middle East tend to suffer from more diverse sort of natural disasters (incl. other plagues than the bubonic one), such as a drought and a famine, in the 13th and 14th century.
• Together with the relative shortage of the reliable contemporary accounts, this abundance of the disasters in the Islamic world makes it difficult to evaluate the exact socio-economic impact as well as the casualties of the bubonic plague in their first outbreak in the middle of the 14th century, as the Black Death hit Europe.
• Contemporary Islamic authors indeed record some extraordinary events during the outbreak that could suggest the direct influence of the plague: To give an example, the landowner in Sharkiyya (now Oman?) could not receive the land tax since the farmers died or abandon their land. Religious fervor could also be discerned in several places, including some dubious natures like magical charms. a researcher wonders how much this outbreak contributes the general declining trend of the Mamlūk Egypt (Tucker 1981: 221).

References:

• Aberth, John. Plagues in World History. Lanham: Rowman & Littlefield, 2011.
• Benedictow, Ole J. The Black Death 1346-53: The Complete History. Woodbridge: Boydell, 2005.
• Dols, Michael. The Black Death in the Middle East. Princeton, NJ: Princeton UP, 1977.
• Tucker, William F. 'Natural Disasters and the Peasantry in Mamlūk Egypt'. Journal of the Economic and Social History of the Orient 24-2 (1981): 215-224.