A mathematical model for any system is the description of that system which uses the mathematical concepts related to the differential equation and some of the languages. This process of modeling is called as the mathematical modeling and when we use Differential Equations and mathematical modelling together it is called as the mathematical modeling of the differential equation. We use the differential equations in the process of the modeling of the mathematics. To build the model we go through some of the process:
Step 1: We clearly include the all assumptions for the model. These assumptions describe the relationship between the quantities used in modeling.
Step 2: We describes all the parameters used in the model.
Step 3: Now we uses all the assumptions to find the model which relates the parameters and variables.