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| We study the behaviour of groups of pedestrians, in which macroscopic effects arise from the microscopic, social interactions between individuals. In this talk I introduce and discuss the kind of models I use. I will focus on one of the ingredients that make these models 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, both in a mathematical sense as in view of the interpretation given to the solution. This influence turns out to be rather large, and affects e.g. pattern-formation and (stability of) equilibria. |
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