Date Thesis Awarded

7-2012

Document Type

Honors Thesis

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Junping Shi

Committee Member

Leah B. Shaw

Committee Member

Gexin Yu

Committee Member

Daniel Vasiliu

Abstract

A coupled two-patch Rosenzweig-MacArthur system of predator-prey interaction is investigated. Synchronization is the process in which oscillations attain the same frequency based on their coupling. The Moran Effect, the name for the seemingly random changes seen in nature, has been attributed as a cause of synchrony, while scholars have studied other influences to ascertain causal relationships between any of them and a synchronous solution. We use a correlation function similar to Pearson's Correlation, one of the most well known correlation measures in statistical analysis, to measure the synchrony and consider what factors have greater influences upon a synchronous oscillatory solution.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Comments

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

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