Special Session 85: Transport processes in biology: Modelling and analysis
Contents
This talk treats an extension of an established model for biological aggregations: a first-order system of ODEs for the trajectories of interacting individuals. The original model lacks a crucial ingredient that makes social aggregations different from systems of non-living particles: mutual interactions are anisotropic since they are vision-based and thus direction-dependent. My main interest is to investigate how anisotropy influences the model. Uniqueness and continuity of velocity are the main mathematical issues I will address.