Mathematical modeling of brid group behavior

In this paper we introduce two different models to study the group dynamic of birds on wire and taking off the ground. To begin with, the first model is agent-based and encompasses attraction-repulsion forces and topological interactions. The model is firstly analyzed and then simulated to study the main properties. Then, we compare the achieved results with data from pictures taken in New Jersey. Two different image elaboration protocols allowed establishing a good agreement with the model. Moreover, we showed potential handiness by analyzing group organization features and dynamics of groups with landing new birds. To further complete the analysis we also introduced a birth-death process to include the modeling of landing and departing birds. Secondly, the second model inspired by videos of birds taking flight was created with options for two different methods that are metric and topological interactions. Furthermore, the model returns a graph displaying the number of birds in the air vs. the time that is very similar to the observed data that was analyzes via ImageJ. Comparing the topological and metric interaction, the topological method is less regular and has a longer front length. Lastly, many trends were observed when comparing the front velocities under various constraints.M.S.Includes bibliographical referencesby Aylin Aydogd