Fallacy of misapplied model

Is there a fallacy where we apply a certain model or theory to a situation it does not apply to?

I'm thinking here about the concept of 'domains of validity,' wherein a scientific model is predictive at one scale or in certain circumstances but may not apply on other scales or in other circumstances, and so lead to erroneous conclusions and failed predictions.

Depending on the answers I get, I will provide an example to illustrate. I actually have another more specific question regarding this fallacy, but first I'm just checking with you all to see if I'm on the right track or not.

There is the ludic fallacy, which is the incorrect application of games to model real life situations. It like trying to apply a situation with controlled factors to a dynamic environment with uncertainty and risk.Might be useful, but misleading.

It might depend on the particular misapplication you have in mind; so examples would be appreciated.

I think you're likely dealing with equivocation, in particular you have a theory/model which applies to all X, and you have a case in front of you which you say is an X, but that is not really an X of the relevant sort. The equivocation is that both the set of applicable cases and your case might be called X, but aren't the same at all.