I'm not sure. I know next to nothing about jackels since I've never even been to africa.
I have heard that unless you really have a problem with coyote depredation then you should leave them alone. That means the ones you have are not livestock killers.
Once you kill them they WILL be replaced with others. Those may be livestock killers and then you are worse off.
Sheep and goats are by far more succceptable to predation by coyotes than cattle, and sheep andgoats is primarily where jackes cause problems as well.
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"The recreational value of a head of game is inverse to the artificiality of its origin"
"No prize is greater than the effort taken to acheive it"
- Aldo Leopold, The Father of Wildlife Management