Doc has put me on tapering dose of 60mg prednisolone for chronic migraine not resp. to drugs and partial resp. to botox. he says that non resp. to prednisolone means my migaine is psychiatric. true ?

Maybe not: I would have a second opinion. Migraines are difficult at times some respond very well to therapy others are resistant. See another physician preferably board certified neurologist

Not true exactly: Prednisolone is not a common migraine treatment protocol. Often times there's also a underlying dietary, or food allergy source to migraine that can be exacerbating or causing continuous, chronic issues, along with stress. So it would be good to have a food allergy panel done with complement testing to rule out this possibility. Then look at other possible triggers. You don't want to be on chronic steroid treatment.