"Systematic": not quite, though the Christian exemption from Ottoman military service (among other factors) did mean that Christians in the Arab territories were often singled out for particular abuse and depredation that could lead to enormous loss of life. This was sometimes carried out collectively, most notably in the Famine of Mount Lebanon, which resulted in the deaths of something like half of the mostly Christian population of Mount Lebanon (which is to say, most the modern territory of Lebanon except Beirut and the south).

Jamal Pasha's governorship of greater Syria during the war wasn't particularly rosy for anyone. His nickname, as-Saffah, means the shedder of blood and refers to his large scale executions of suspected dissidents, notably after the discovery of names of some of the most prominent members of the Arab nationalist society al-Fatat after which Jamal carried out mass executions which are commemorated to this day as "Martyr's day".

In terms of further reading, I can't say I've read anything dedicated on the subject, but this doctoral dissertation on the Famine of Mount Lebanon discusses its principal causes and I think should make clear why I, for one, would stop short of describing it as genocide per se: http://digitalassets.lib.berkeley.edu/etd/ucb/text/Tanielian_berkeley_0028E_12634.pdf