Q:

How to run the graphic modeler from the python console in QGIS?

How can I run the graphic modeler from the python console in QGIS? 

A:

If you want how to run your own model with its parameters, I suggest you, at first, to run the model by Processing Toolbox. Then open "Processing > History" window, select the last process and copy/paste into Python Console.

If you want to open Graphical Modeler editor by Python Console, try this:
from processing.modeler.ModelerDialog import ModelerDialog
dialog = ModelerDialog()
dialog.show()

