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Permanent link (DOI): https://doi.org/10.7939/R35886

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

Descriptions

Other title
Subject/Keyword
Lagrangian modeling
animal movement
Type of item
Thesis
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
Department of Mathematical and Statistical Sciences
Specialization

Date accepted
2011-01-11T20:28:46Z
Graduation date
2011-06
Degree
Master of Science
Degree level
Master's
Abstract
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.
Language
English
DOI
doi:10.7939/R35886
Rights
License granted by Rita Wong (rhw@ualberta.ca) 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.
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