This is a non uncommon problem that can occur with or without implants. There are a few scattered cases where a leaking silicone gel implants could be a possible cause, but in most patients with implants this is not likely to be causative.
Since you have a diagnosis I presume you have been seen by a physician who has started an evaluation and treatment. If not, you would be well to be seen at a breast clinic, since most plastic surgeons will not have the experience or judgement in dealing with peri-ductal mastitis. If a leaking gel implant is implicated, consult a plastic surgeon about its removal and the options available.
Thanks for the question, best wishes.