So how do you try to advance influence?
Missions?
Are you refraining from all trading/bountyhunting activity in the system?
Do you concentrate on the right missions?
But then... the chances of your actions counteracting each other in such a way that the overall result is -0.1% every few days are basically zero.
Overall a high amount of activity should lead to some influence change, in whichever direction. And not a gradual loss over time.
We had an influence boost up 6% in a day two days ago when we switched our trading activities to another system. So the actions it takes to achieve influence changes in some dirthole aren't not that high.
We've tried many combinations of all of these things. We've had no problem whatsoever getting the RJR up to incredibly high influence in Jotunheim. But the civil war in Jotunheim doesn't seem to do anything, and the Ngadjal influence system just doesn't seem to be responding in any coherent fashion.
I completely agree with others here that some answers would be greatly appreciated, even if we're just told that certain things aren't working at the moment, or if we're asked to help by testing things live.