related by the Dold-Kan correspondence
symmetric monoidal (∞,1)-category of spectra
The model structure for dendroidal (co)Cartesian fibrations is an operadic analog of the model structure for Cartesian fibrations. Its fibrant objects are (co)Cartesian fibrations of dendroidal sets. These in turn model (Grothendieck-)fibrations of (∞,1)-operads.
In particular, over the terminal object, the E-∞ operad, this is a model for the collection symmetric monoidal (∞,1)-categories. Over an arbitrary (∞,1)-operad, this is a model for the (∞,1)-category OMon(∞,1)Cat of O-monoidal (∞,1)-categories?.
The model structure for dendroidal Cartesian fibrations is due to
Its further localization to the model structure for dendroidal left fibrations is discussed in