I am just learning some basics of model categories, so pardon me if my question is trivial.
Suppose that $\mathfrak{C}$ is a category and there exists two model structures on $\mathfrak{C}$ (For example consider flat and injective model structures on R-Modules). Then which conditions are needed to verify that two model structures are equivalent?
In particular I want to know if the injective and flat model structure on $R$-Mod when the ring $R$ is a Noetherian ring, are equivalent.