Dissertation
Pattern formation properties of a system of interaction-diffusion equations relevant to a mussel-algae ecosystem in a quiescent marine layer
Doctor of Philosophy (PhD), Washington State University
01/2014
Handle:
https://hdl.handle.net/2376/5122
Abstract
A particular interaction-diffusion mussel-algae model system for the development of spontaneous stationary young mussel bed patterning on a homogeneous substrate covered by a quiescent marine layer containing algae as a food source is investigated employing weakly nonlinear diffusive instability analyses. The main results of these analyses can be represented by plots in the ratio of mussel motility to algae lateral diffusion versus the algae reservoir concentration dimensionless parameter space. Regions corresponding to bare sediment and mussel patterns consisting of rhombic or hexagonal arrays and isolated clusters of clumps or gaps, an intermediate labyrinthine state, and homogeneous distributions of low to high density may be identified in this parameter space. Then those Turing diffusive instability predictions are compared with both relevant field and laboratory experimental evidence and existing numerical simulations involving differential flow migrating band instabilities for the associated interaction-dispersion-advection mussel-algae model system as well as placed in the context of the results from some recent nonlinear pattern formation studies.
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Details
- Title
- Pattern formation properties of a system of interaction-diffusion equations relevant to a mussel-algae ecosystem in a quiescent marine layer
- Creators
- Richard A. Cangelosi
- Contributors
- David Wollkind (Advisor)Mark Schumaker (Committee Member)Robert Dillon (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mathematics and Statistics, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Number of pages
- 99
- Identifiers
- 99900581444101842
- Language
- English
- Resource Type
- Dissertation