Study of animal movement and group formation with a Lagrangian model
| Autor: | Wong, Rita |
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| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: | |
| Druh dokumentu: | Diplomová práce |
| Popis: | 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. Applied Mathematics |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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