van Veen, LennaertBuono, Pietro-LucianoFrawley, Eryn2018-08-242022-03-292018-08-242022-03-292018-08-01https://hdl.handle.net/10155/943In this paper we will explore the impacts on collective animal motion of adding non-linearity to the animals’ turning rate in a 2-dimensional model of aggregation. The model in question was proposed by Fetecau and implements a dependence on an individual’s relation to neighbours’ position and the direction in which they are moving. By utilizing a turning rate formula similar to one proposed by Eftimie, we can retain many of the dependences of the original 2-dimensional model while ensuring that the turning rate is both bounded and non-linear. The group formations resulting from this introduction of non-linearity are explored.enAggregationPDESymmetryThesis