Study of a 2 dimensional aggregation model with non-linear adaptations

dc.contributor.advisorvan Veen, Lennaert
dc.contributor.advisorBuono, Pietro-Luciano
dc.contributor.authorFrawley, Eryn
dc.date.accessioned2018-08-24T15:18:28Z
dc.date.accessioned2022-03-29T17:25:51Z
dc.date.available2018-08-24T15:18:28Z
dc.date.available2022-03-29T17:25:51Z
dc.date.issued2018-08-01
dc.degree.disciplineModelling and Computational Science
dc.degree.levelMaster of Science (MSc)
dc.description.abstractIn 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.en
dc.description.sponsorshipUniversity of Ontario Institute of Technologyen
dc.identifier.urihttps://hdl.handle.net/10155/943
dc.language.isoenen
dc.subjectAggregationen
dc.subjectPDEen
dc.subjectSymmetryen
dc.titleStudy of a 2 dimensional aggregation model with non-linear adaptationsen
dc.typeThesisen
thesis.degree.disciplineModelling and Computational Science
thesis.degree.grantorUniversity of Ontario Institute of Technology
thesis.degree.nameMaster of Science (MSc)

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