# Definition:Mathematical Model

## Definition

A mathematical model is an equation, or a system of equations, whose purpose is to provide an approximation to the behavior of a real-world phenomenon.

### Constant

Let $P$ be a stochastic process which is being modelled by means of a model $M$.

A constant of $M$ is a number which implements some aspect of $P$ which is not changed during the evolution of $P$.

### Parameter

Let $P$ be a stochastic process which is being modelled by means of a model $M$.

A parameter of $M$ is a number which implements some aspect of $P$ which is designed so as to be able to be modified during the evolution of $P$ as a result of analysis of the behaviour of $P$ over time.

## Also see

• Results about mathematical models can be found here.