Date Thesis Awarded

5-2010

Document Type

Honors Thesis

Degree Name

Bachelors of Arts (BA)

Department

Mathematics

Advisor

Junping Shi

Committee Member

Rex K. Kincaid

Committee Member

Romuald Lipcius

Committee Member

Jian Shen

Committee Member

Leah B. Shaw

Abstract

The Chesapeake May oyster has been the focus of more than a century of heavy harvesting and now several decades of restoration attempts. Concerted efforts to rebuild the native oyster population and reef structure have yielded similar results. Recent success in the Great Wicomico River suggests that initial reef height combats growth retarding sedimentation resulting in multiple stable states of reefs. We use a system of three differential equations to model volumes of live oysters, dead oysters, and sediment. We show that multiple nonnegative equilibria exist for an ecologically reasonable range of parameters and the initial height of oyster reefs determines which equilibrium is reached.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Comments

Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.

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