Simple Mathematical Models
Components of Mathematical Model are variables or decision parameters; constants and calibration parameters; input parameters, data; phase parameters; output parameters; noise and random parameters. Process of mathematical modelling contains stages of problem identification and formulation; choice of experts; elaboration of model; development and clarification of model; investigation and implementation; numerical experiments; interpretation of results. The latter action is crucial and in these both, mathematicians and practitioners must participate.
Mathematical modelling needs collaboration between industrials and academicals. This collaboration is called Industrial Mathematics; see https://ecmiindmath.org/.
Main forms of Mathematical Models are; numbers, data; functions; equations and inequalities; systems of equations; differential equation, ordinary and partial.