Are there any studies for the wild ungulates and livestock density change affecting the density of wolf (Canis lupus) and the rate of depredation?

My team is planning to re-introduce the Fallow Deer (Dama dama) in Kresna Gorge in Bulgaria, where wolf depredation over livestock is a common problem. It is believed that if the Fallow Deer is restored and the number of livestock units and herds increased, probably the depredation over certain herd will be decreased and thus the man/predators conflict. This might be possible only if the wolf is not going to increase its density as much as the factor of increasing the livestock and wild ungulates in the area.