The static model refers to a model that only consists of the ideal capacitors, inductors (coils), and resistance based on the data measured in constant conditions. For example, the measurement conditions of multilayer ceramic capacitors are 20℃ or 25℃ temperature with a DC bias applied voltage of 0V.
On the other hand, the temperature dependency and DC bias dependency can be taken into consideration for the dynamic model.
When simulating power lines applied with different voltages, it used to require that multiple static models be prepared, but now such time and effort can be eliminated by using a dynamic model.