Local communities fiercely protect the lions for cultural, religious and economic reasons, because they attract tourists.
Loveridge said that people accepted some livestock would be lost.
"In general, they're less likely to kill the lions in retaliation for livestock losses, which is something that is very prevalent in many sites in Africa," he said.
"Indian wildlife managers have managed to contain that conflict, to a large degree -- in many ways, that's their secret to success."
But rising numbers mean lions now roam far beyond the park.
About half the lion population ranges across 30,000 km2, and livestock killings have soared, from 2,605 in 2019–20 to 4,385 in 2023–24.
There are no official figures on attacks on humans, though experts estimate there are around 25 annually.
Occasionally, an attack hits the headlines, such as in August, when a lion killed a five-year-old child.