The concept of a model has not changed, just new models have appeared and developed. For example, it has become convenient to represent differential equations in discrete form (difference equations) and calculate the result on a computer instead of complex theoretical research.
None. The concept itself was not in the least damaged. What it meant, it continues to mean.
A numerical model is the same model of reality as the one that we can build in our heads. It has the same properties, to the extent that it may or may not have a physical medium.