Bike sharing systems (BSSs) offer a mobility service whereby public bikes, located at different stations across an urban area, are available for shared use. An important point is that the distribution of rides between stations is not uniformly distributed and certain stations fill up or empty over time. These empty and full stations lead to demand for bikes and return boxes that cannot be fulfi...

Mathematical modelling in ecology, epidemiology and eco-epidemiology has long been recognized as a powerful research tool [14]. Indeed, mathematical models create a convenient virtual environment where various hypotheses can be checked and different scenarios studied in much detail. Mathematical modelling and simulations in ecology therefore provide a convenient and efficient supplement, and so...

The mathematical process Application and Modelling has just been factored into the new mathematics curriculum. Its implication is that even children should now be involved in works of mathematical modelling. Mathematical modelling is deliberated upon in this paper with a view towards supporting the new math curriculum. An example of pupils’ development of a problem representation in this paper ...

The subject of geometric modelling is a blend of different types of geometry, some mathematical modelling, some numerical analysis, and discipline specific applications. In these course notes, we will concentrate of the subdiscipline of geometric modelling known as computeraided geometric design, which was formed from the mathematical structures and methods used in CAD/CAM systems and subsequen...

Automata are simple mathematical objects with unexpected computational, mathematical, modelling and explanatory capabilities. This paper examines some relations between automata and physics. Automata will be used to model quantum uncertainty and quantum computation. Finally, mathematical proofs will be discussed from the perspective of quantum automata. 1 Modelling Quantum Uncertainty with Auto...