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A descriptive model explains the logical relationships of the system including the system’s whole-part relationship, the functions the components, the interconnection between the parts, and the test case that is used to verify the system requirements. Usually a descriptive model includes those that explains the functional/physical architecture of a system.

Pritham, An analytical model explain the mathematical relationships like differential equations supporting the quantifiable analysis of the system parameters. Analytical models can be divided into static and dynamic models. Dynamic models explain the time-varying state of a system and the static models conduct the computations that does not describe the time-varying state of a system.k

The difference between the analytical and simulation model is very simple. (a) Analytical model is used for mathematically tractable application, whereas simulation model is used in complex systems. (b) analytical model is used in initial study whereas simulation model is used in detailed study.