A deterministic model assumes that its outcome is certain if the input to the model is fixed. No matter how many times one recalculates, one obtains exactly the same result. It is arguable that the stochastic model is more informative than a deterministic model since the former accounts for the uncertainty due to varying behavioral characteristics.
In nature, a deterministic model is one where the model parameters are known or assumed. Deterministic models describe behavior on the basis of some physical law.
Deterministic models are usually developed by statistical techniques such as linear regression or non-linear curve fitting procedures which essentially model the average system behaviors of an equilibrium or steady state relationship. In a live transportation system, a totally deterministic model is unlikely to include various dynamic random effects (or uncertainties). The uncertainty is commonly understood as factors related to imperfect knowledge of the system under concern, especially those being random in nature. It is closely related to heterogeneity, which denotes the state when entities within a given system are of