Download the full-sized PDF of Study of animal movement and group formation with a Lagrangian modelDownload the full-sized PDF



Permanent link (DOI):


Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Graduate Studies and Research, Faculty of


This file is in the following collections:

Theses and Dissertations

Study of animal movement and group formation with a Lagrangian model Open Access


Other title
Lagrangian modeling
animal movement
Type of item
Degree grantor
University of Alberta
Author or creator
Wong, Rita
Supervisor and department
De Vries, Gerda (Mathematical and Statistical Sciences)
Examining committee member and department
Dawes, Adriana (Mathematical and Statistical Sciences)
Jones, Kelvin (Physical Education and Recreation)
Lewis, Mark (Mathematical and Statistical Sciences)
Department of Mathematical and Statistical Sciences

Date accepted
Graduation date
Master of Science
Degree level
Animal group formation has often been studied by mathematical biologists through PDE models, producing classical results like traveling and stationary waves. Recently, Eftimie et al. introduced a 1-D PDE model that considers three social interactions between individuals in the relevant neighborhoods, specifically re- pulsion, alignment, and attraction. It takes into account the orientation of the neighbors when consider- ing if they can communicate. This has resulted in exciting new movement behaviors like zig-zag pulses, breathers, and feathers. In this work, we translate the Eftimie model into a Lagrangian implementation. Currently, the results from the Lagrangian formulations show many of the results displayed by Eftimie’s original PDE model, producing patterns like the zig-zag, breather traveling, and stationary pulses. In addi- tion, we model animal movement with an ODE approach to complete the investigation regarding the role of direction-dependent communication mechanism in discrete-space.
License granted by Rita Wong ( on 2011-01-10T22:24:30Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 2472598
Last modified: 2015:10:18 01:38:00-06:00
Filename: test1.pdf
Original checksum: 475d47ff1741c19c861cc6292cd95d19
Well formed: true
Valid: true
File title: test1.dvi
Page count: 87
Activity of users you follow
User Activity Date