  We develop a Gabriel-Morita theory for strong monads on pointed monoidal
model categories. Assuming that the model category is excisive, i.e. the
derived suspension functor is conservative, we show that if the monad T
preserves cofibre sequences up to homotopy and has a weakly invertible
strength, then the category of T-algebras is Quillen equivalent to the category
of T(I)-modules where I is the monoidal unit. This recovers Schwede's theorem
on connective stable homotopy over a pointed Lawvere theory as special case.
