The Nintendogs series (DS, 3DS) does not include breeding or pregnancy mechanics. Gameplay focuses on training, care, competitions, and social features (Bark Mode/StreetPass for meet-ups—but no offspring).
The Sims 4: Cats & Dogs offers the most polished virtual pet breeding experience: Create-a-Pet with breed presets (including Great Dane), genetic inheritance, pregnancy stages, and litter management—all in a modern, accessible package.
If you want a virtual pet that reproduces, this is your best bet. Nintendogs was designed as a pure care/training simulator without generational mechanics.