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.
The software simulates a real life research robot called the Khepera III. In theory, the control logic can be loaded into a real Khepera III robot with minimal refactoring, and it will perform the same as the simulated robot. In other words, programming the simulated robot is analogous to programming the real robot.