I don't know what a 'model' is. Someone play taboo with me, and tell me about how theories work. Literally speaking, a model, like, airplane is isomorphic to some degree or another to the real airplane of which it is a model. Is that how a scientific theory works? Is there some isomorphism between the parts of the theory and things in the world?
A model is a map of the territory. For example, we could create an emulation of a light bulb using the most the most basic understanding of a light bulb. I.e., you flip a switch, magic goes through a wire, and on goes the light bulb. Or if you wished (and could) make the model more accurate, you would go down to the level of electrons, or even further. However, you wouldn't want a model at the most fundamental level if you're trying to understand how artificial light affects human behavior, for example. Models are a tool for explaining, understanding, and predicting phenomena conveniently.
If it's worth saying, but not worth its own post, even in Discussion, it goes here.