With drones swarms getting larger and larger, it becomes inconceivable to pilot or precompute the trajectory of each agent during a flight. Mean field and continuum limits are great tools to approximate models of such fleets where drones are no longer piloted (either by a human or a computer) but are autonomous, with various tasks to accomplish.
In this talk, we briefly present a simple and economic way to model such drone swarms, how to formally derive the continuum limit of the model and quantify the deviation between the two formulations. Then we present a brand new model for target zone occupation, including some elements of its existence theory and long time behavior analysis.
