Erect means build or upright. If you erect a house, you build it. If you stand erect, you hold your body as tall as possible.
A mathematical model is a description of a system using mathematical concepts and language.The process of building a mathematical model is termed mathematical modeling.Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (e.g. computer science, artificial intelligence). mathematical model is a description of a system using mathematical concepts and language.
Artifact: Analysis Model An object model describing the realization of use cases, and which serves as an abstraction of the Artifact: Design Model. The Analysis Model contains the results of use case analysis, instances of the Artifact: Analysis Class. The Analysis Model is an optional artifact (see Tailoring). UML representation: Model, stereotyped as analysis model.