You've decided to make Ethnic Meat Stew and use a recipe from the website or cookbook of famed Ethnic chef Telly Celebrity.
When you make it, you like it as a base but start changing things each time you make it. Clearly, if you just double the black pepper to 1 tsp from 1/2 it's "Telly Celebrity's Ethnic Meat Stew with extra pepper." If you use rabbit instead of duck, I still think it's "Telly Celebrity's Ethnic Meat Stew, with rabbit substituted."
How much change do you feel you have to make to a recipe before you can start calling it "My Ethnic Meat Stew based on Telly Celebrity's recipe?" What about "inspired by?" At what point is the recipe yours alone and you feel you can ethically drop Mr. Celebrity's name entirely?