[BUG] Duplicate template generated when cartesian_control = True

[liunelson]

I have this model:
mathml model.json

I run this stratification:

model = stratify(
    template_model=model,
    key= "vaccination status",
    strata=['O', 'VR', 'V'],
    structure= [['O', 'V'], ['V', 'VR']],
    directed=True,
    cartesian_control=False,
    modify_names=True,
    concepts_to_stratify=['S'], #If none given, will stratify all concepts.
    params_to_stratify= ['η', 'β'], #If none given, will stratify all parameters.
    param_renaming_uses_strata_names = True
)

When cartesian_control = True, all templates that had S has a subject concept got triplicated (i.e. identical rate laws). Since all the controllers of those templates (I, A) are not stratified, I had expected that cartesian_control = True, False would do nothing. What is the intended behaviour?

[liunelson]

This can be replicated with a simple SIR model where I stratify it over n groups by just S and either cartesian_control = True or cartesian_control = False. In the former case, I get an extra factor of n in front of the b S_* I terms.