Mohadese Ramezani

"Fractional macroscopic models for evacuation of bees: Numerical study and analysis"

The growing population of large cities has increased the importance of studies of pedestrian flow during the last decades. There are different types of models for pedestrian flow such
as cellular automata, social force models, velocity-based models, continuum models, hybrid models, behavior models and network models, which can be divided into microscopic and macroscopic models. Microscopic models consider pedestrians in detail while macroscopic models describe a pedestrian flow wherein interactions are studied individually.
However, the choice of modeling method is difficult.

Her research aims at

• extending existing 2D-approaches to a 2D-manifold in 3D geometry originating from a beehive.
• appling that extended approach to the robots guided movement of a beehive and simulate that.
• generalizing the approach to more complex fractional macroscopic models which are more close to individuals flow in reality
• establishing some efficient numerical methods to solve the proposed models in order to get more reliable results.
• considering some practical examples to confirm the numerical and theoretical results.