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

In 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.

Name thesis:degree_name

Master of Science (MSc)

Discipline thesis:degree_discipline

Modelling and Computational Science

Grantor

University of Ontario Institute of Technology

Year dc:date.issued

2018

Author dc:creator

• Frawley, Eryn

Advisors dc:contributor.advisor

• van Veen, Lennaert
• Buono, Pietro-Luciano

• Aggregation
• PDE
• Symmetry

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/10155/943

OAI identifier oai:identifier

oai:ontariotechu.scholaris.ca:10155/943